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Welcome to the Math Salamanders 2d Shapes Worksheets. We have a wide selection of worksheets on 2d shapes, including symmetry worksheets, naming 2d shapes, shape riddles and puzzles, and sheets about the properties of 2d shapes. There are a range of worksheets at different levels, suitable for children from Kindergarten and up.

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2d Shape Worksheets

There are a range of geometry worksheets set out in different sections as follows:

Kindergarten Section

  • identify 2d shapes from pictures
  • tracing and shading 2d shapes

1st Grade Section

  • sorting 2d and 3d shapes
  • identify different types of 2d shapes.
  • drawing shapes using positional language - inside, above, below,...

2nd Grade Section

  • identify and name members of the triangle family, e.g. equilateral triangles.
  • identifying and sorting other 2d shapes
  • identify simple properties of 2d shapes - sides, corners, right angles
  • solving riddles involving 2d shapes

3rd Grade Section

  • identifying a range of 2d shapes;
  • knowing and using properties of 2d shapes - sides, symmetry, right angles
  • investigate properties and features of 2d shapes
  • symmetry worksheets
  • 2d shapes worksheets - area and perimeter

4th Grade Section

  • classify and measure a range of angles
  • using coordinates in the 1st quadrant

5th Grade Section

  • knowing properties of angles of triangles and quadrilaterals
  • finding missing angles
  • area of triangles and quadrilaterals

Geometry Riddles

  • Reasoning and exploring the properties of 2d shapes.

2D Shape Clipart

  • A range of printable clipart for 2d shapes.

Parts of a Circle Worksheets & Support

  • Worksheets and support for finding and naming the parts of a circle.

Identify 2D Shapes Online Quiz

  • an online quiz to help develop naming and identifying a range of 2D shapes.

Kindergarten 2d Shapes Worksheets

  • Shade the Circles Sheet 1
  • Shade the Rectangles Sheet 1
  • Shade the Squares Sheet 1
  • Count the Shapes 1
  • Match the Shapes Sheet 1
  • Trace the Shape Sheet 1
  • Trace the Shape Sheet 1a
  • Trace the Shape Sheet 2
  • Trace the Shape Sheet 2a

More Kindergarten Geometry Resources

  • More Kindergarten Shape Worksheets
  • More Kindergarten Tracing Worksheets
  • Top of Page

1st Grade Shape Worksheets

  • Identify Squares and Rectangles 1
  • Identify Squares and Rectangles 1 Answers
  • Identify Triangles and Circles
  • Identify Triangles and Circles Answers
  • Identify Simple 2d Shapes 1
  • Identify Simple 2d Shapes 1 Answers
  • Draw 2d Shapes 1

More 1st Grade Geometry Resources

  • More 1st Grade Geometry Worksheets

2nd Grade Shape Worksheets

  • Identify Triangles 1
  • Identify Triangles 1 Answers
  • Identify Triangles 2
  • Identify Triangles 2 Answers
  • Identify 2d Shapes 1
  • Sheet 1 Answers
  • Identify 2d Shapes 2
  • Sheet 2 Answers
  • Block Symmetry Sheet 1
  • Name and Trace 1
  • Name and Trace 2
  • Name and Trace 3
  • Name and Trace 3 (UK version)
  • Name and Trace 4
  • Name and Trace 4 (UK version)

More 2nd Grade Geometry Resources

  • More Second Grade Geometry Worksheets
  • More Block Symmetry Worksheets

3rd Grade Shape Worksheets

  • 2d Shapes Properties 1
  • 2d Shapes Properties 2
  • 2d Shapes - Can you draw it 1
  • Can you draw it 1 Answers
  • The Alphabet in Symmetry
  • The Alphabet in Symmetry Answers
  • Block Symmetry Sheet 5
  • Sheet 5 Answers
  • Line Symmetry 1
  • Area Sheet 1

More 3rd Grade Geometry Resources

  • More 3rd Grade Geometry Worksheets
  • More Line Symmetry Worksheets

4th Grade Shapes Worksheets

  • Angle Classification 1
  • Angle Classification 2
  • Triangle Classification 1
  • Angle Measuring 1
  • Angle Measuring 2
  • Plot the Coordinates Sheet 1
  • Area Sheet 4
  • Sheet 4 Answers

More 4th Grade Geometry Resources

  • More 4th Grade Geometry Worksheets
  • More Coordinate Worksheets
  • More Area Worksheets

5th Grade Shapes Worksheets

  • Angles to 90°
  • Angles to 90° Answers
  • Angles on a straight line
  • Angles on a straight line Answers
  • Angles around a point 1
  • Angles around a point 1 Answers
  • Angles in a triangle 1
  • Angles in a triangle 1 Answers
  • Find the missing angle 1
  • Find the missing angle 1 Answers

More 5th Grade Geometry Resources

  • More 5th Grade Geometry Worksheets
  • Explore 2d Shapes Worksheets

Looking for some geometry worksheets to get children thinking and reasoning about 2d shapes?

The shapes on this page are all about children really understanding what 2d shapes are all about, and using their reasoning skills to justify their thinking.

Using these sheets will help your child to:

  • know the properties of a range of 2d shapes;
  • recognise that some shapes can also be described as being other shapes; e.g. a square is also a rhombus;
  • recognise and understand right angles, parallel lines, lines of symmetry;
  • develop their geometric reasoning skills.

Here you will find our free printable geometry riddles from 1st to 5th grade.

These riddles are all about problem solving with 2d shapes.

Using these riddles will help your child to:

  • develop their geometry skills;
  • develop their understanding of geometric language;
  • apply their geometric knowledge to solve problems.

All the geometry riddles in this section support elementary math benchmarks.

  • Geometry Worksheets (Riddles)

Here you will find a selection of 2D shape sheets designed to help your child learn their names and properties of 2d shapes.

  • recognise a range of 2D shapes;
  • recognise that a square is also a member of the rectangle family;
  • recognise shapes in different orientations and sizes.

All the free printable shape sheets in this section support Elementary Math benchmarks.

  • Shapes Clipart - Basic 2D Shapes
  • Shapes Clip art - Triangle and Quadrilateral Families
  • Shapes for Kids - Regular Polygons (individual)
  • Regular Shapes (groups)
  • Printable Shapes - 2D and 3D Shape Sheets

Parts of a Circle Worksheets and Support

Do you know the special geometric names to describe the different parts of a circle?

Well you can find all the support you need on this page, complete with some practice worksheets and an online quiz!

  • Parts of a Circle Worksheets

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This quick quiz tests your knowledge and skill at indentifying 2D shapes including types of triangle..

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Geometry Worksheets

Shapes, angles, grids and more.

Our geometry worksheets start with introducing the basic shapes through drawing and coloring exercises and progress through the classification and properties of 2D shapes including quadrilaterals, triangles, circles, and polygons. Area and perimeters, classification of angles, and plotting on coordinate grids are also covered. Latter worksheets introduce 3D shapes .

Choose your grade / topic:

Kindergarten shapes worksheets, grade 1 geometry worksheets, grade 2 geometry worksheets, grade 3 geometry worksheets, grade 4 geometry worksheets, grade 5 geometry worksheets, grade 6 geometry worksheets.

Topics include:

  • Tracing and drawing the basic shapes (2D)
  • Matching similar shapes
  • Matching shapes to their names
  • Identifying basic 2D shapes
  • Drawing shapes in a pattern
  • Is the shape 2D or 3D?
  • Identifying and labeling 2-D shapes
  • Drawing and identifying squares, rectangles, triangles, circles, ovals, diamonds
  • Rotating 2D shapes
  • Scaling 2D shapes
  • Identifying 2D shapes including pentagons, hexagons
  • Counting edges and vertices
  • Comparing edges and vertices of different shapes
  • Composing and decomposing 2D shapes
  • Identifying parts of a whole using shapes
  • Congruent shapes
  • Lines of symmetry
  • Drawing symmetric shapes
  • Area and perimeter of 2D shapes
  • Area of a rectangle on a rectangular grid
  • Perimeters of common shapes
  • Identifying 3D shapes
  • Matching 3D shapes to real objects
  • Counting edges, faces and vertices
  • Comparing edges, faces and vertices of different shapes
  • Matching quadrilaterals to their names
  • identify and describing quadrilaterals
  • Identifying parallelograms
  • Classifying triangles by their angles (acute / obtuse / right)
  • Classifying triangles by their sides (scalene, isosceles, equilateral)
  • Properties of circles
  • Properties of polygons
  • Regular polygons
  • Lines, segments and rays
  • Comparing angles and right angles
  • Parallel and perpendicular lines
  • Classifying angles
  • Measuring angles
  • Drawing angles with a protractor
  • Classifying triangles
  • Classifying quadrilaterals
  • Perimeter and area of rectangles
  • Perimeter and area of irregular rectangular shapes
  • Circumference of a circle
  • Coordinate grid - plotting and reading points (1st quadrant)
  • Coordinate grid - plotting and reading points (all quadrants)
  • Classify and measure angles
  • Classify triangles
  • Classify quadrilaterals
  • Area and perimeter of rectangles (customary units, metric)
  • Area and perimeter of irregular rectangular shapes (customary units, metric)
  • Area of right triangles
  • Area of triangles
  • Area of triangles, parallelograms and trapezoids
  • Area of a circle
  • Volume and surface area of rectangular prisms
  • Plotting and reading points on a grid
  • Classify and measure angles and triangles
  • Classify quadrilaterals (7 types)
  • Area and perimeter of irregular rectangular shapes
  • Area and perimeter of triangles and quadrilaterals
  • Area and perimeter of parallelograms and trapezoids
  • Circumference and area of circles
  • Volume and surface area of rectangular prisms (fractional lengths, decimals)
  • Volume and surface area of 3D shapes

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shape properties homework

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Properties of Shapes KS2

This collection is one of our Primary Curriculum collections - tasks that are grouped by topic.

shape properties homework

Triple Cubes

This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.

shape properties homework

Four Triangles Puzzle

Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?

shape properties homework

Sorting Logic Blocks

This activity focuses on similarities and differences between shapes.

shape properties homework

Seeing Squares

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

shape properties homework

The Third Dimension

Here are four cubes joined together. How many other arrangements of four cubes can you find? Can you draw them on dotty paper?

shape properties homework

Let Us Reflect

Where can you put the mirror across the square so that you can still "see" the whole square? How many different positions are possible?

shape properties homework

Name That Triangle!

Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?

shape properties homework

Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

shape properties homework

Guess What?

Can you find out which 3D shape your partner has chosen before they work out your shape?

shape properties homework

The Numbers Give the Design

Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.

shape properties homework

Where Are They?

Use the isometric grid paper to find the different polygons.

shape properties homework

Seeing Parallelograms

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a parallelogram.

shape properties homework

A Puzzling Cube

Here are the six faces of a cube - in no particular order. Here are three views of the cube. Can you deduce where the faces are in relation to each other and record them on the net of this cube?

shape properties homework

Use the information on these cards to draw the shape that is being described.

shape properties homework

How Safe Are You?

How much do you have to turn these dials by in order to unlock the safes?

shape properties homework

Square Corners

What is the greatest number of counters you can place on the grid below without four of them lying at the corners of a square?

shape properties homework

Six Places to Visit

Can you describe the journey to each of the six places on these maps? How would you turn at each junction?

shape properties homework

Building Blocks

Here are some pictures of 3D shapes made from cubes. Can you make these shapes yourself?

shape properties homework

Counters in the Middle

This task depends on groups working collaboratively, discussing and reasoning to agree a final product.

shape properties homework

Always, Sometimes or Never? Shape

Are these statements always true, sometimes true or never true?

shape properties homework

National Flags

This problem explores the shapes and symmetries in some national flags.

shape properties homework

Round a Hexagon

This problem shows that the external angles of an irregular hexagon add to a circle.

shape properties homework

Nine-pin Triangles

How many different triangles can you make on a circular pegboard that has nine pegs?

Shapes on the Playground

Sally and Ben were drawing shapes in chalk on the school playground. Can you work out what shapes each of them drew using the clues?

shape properties homework

A task which depends on members of the group noticing the needs of others and responding.

shape properties homework

Stringy Quads

This practical problem challenges you to make quadrilaterals with a loop of string. You'll need some friends to help!

shape properties homework

Making Cuboids

Let's say you can only use two different lengths - 2 units and 4 units. Using just these 2 lengths as the edges how many different cuboids can you make?

shape properties homework

Sponge Sections

You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.

shape properties homework

Each of the nets of nine solid shapes has been cut into two pieces. Can you see which pieces go together?

shape properties homework

Seeing Rhombuses

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a rhombus.

shape properties homework

Arranging Cubes

A task which depends on members of the group working collaboratively to reach a single goal.

shape properties homework

Move Those Halves

For this task, you'll need an A4 sheet and two A5 transparent sheets. Decide on a way of arranging the A5 sheets on top of the A4 sheet and explore ...

shape properties homework

Overlapping Again

What shape is the overlap when you slide one of these shapes half way across another? Can you picture it in your head? Use the interactivity to check your visualisation.

shape properties homework

Egyptian Rope

The ancient Egyptians were said to make right-angled triangles using a rope with twelve equal sections divided by knots. What other triangles could you make if you had a rope like this?

shape properties homework

Reflector ! Rotcelfer

Can you place the blocks so that you see the reflection in the picture?

shape properties homework

Olympic Turns

This task looks at the different turns involved in different Olympic sports as a way of exploring the mathematics of turns and angles.

shape properties homework

Board Block Challenge

Choose the size of your pegboard and the shapes you can make. Can you work out the strategies needed to block your opponent?

shape properties homework

Symmetry Challenge

How many symmetric designs can you make on this grid? Can you find them all?

shape properties homework

Making Spirals

Can you make a spiral for yourself? Explore some different ways to create your own spiral pattern and explore differences between different spirals.

shape properties homework

Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?

Quadrilaterals

How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?

shape properties homework

Triangles All Around

Can you find all the different triangles on these peg boards, and find their angles?

shape properties homework

What Shape?

This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.

shape properties homework

Stick Images

This task requires learners to explain and help others, asking and answering questions.

shape properties homework

Estimating Angles

How good are you at estimating angles?

shape properties homework

Making Rectangles

shape properties homework

This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?

shape properties homework

What can you see? What do you notice? What questions can you ask?

shape properties homework

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Year 6 Properties of Shapes Worksheet

Year 6 Properties of Shapes Worksheet

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Amy092's Shop

Last updated

22 February 2018

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A 2D shape is a flat shape that has only two dimensions - length and width, with no thickness or depth, that is the reason why it is called a two-dimensional shape . For example, a sheet of paper is two-dimensional in shape. It consists of a length and a width but does not have any depth or height. Some common 2D shapes are squares, rectangles, triangles, circles, and hexagons. Let us learn more about 2D geometric shapes , the difference between 2D and 3D shapes, along with some 2D shapes examples on this page.

What are 2D Shapes?

In geometry, 2D shapes (2 dimensional shapes) can be defined as plane figures that are completely flat and have only two dimensions - length and width. They do not have any thickness and can be measured only by the two dimensions. In comparison to these, a 3D (three-dimensional) shape has three dimensions - length, width, and height. For example, a dice is three-dimensional because it consists of a length, a width, and a height. Some common 3D shapes are cuboids, cones, pyramids, and cylinders.

2D Shapes Definition

A polygon is a 2 dimensional shape made up of straight line segments which are connected with each other, thus giving it a closed shape. A circle, square, rectangle, and triangle are some examples of two-dimensional shapes and these shapes can be drawn on paper. All the 2 dimensional shapes have sides, vertices (corners), and interior angles, except for the circle, which is a curved figure. 2D shapes with at least three straight sides are called polygons and these include triangles, squares, and quadrilaterals . The figure given below shows a list of 2D shapes that we commonly come across.

List of 2D Shapes - circle, triangle, square, rectangle, pentagon

Types of 2D Shapes - Regular and Irregular 2D Shapes

A 2D shape can be classified as regular or irregular based on the length and the interior angles :

  • A 2 dimensional shape (2D shape) is said to be regular if all its sides are equal in length and all its interior angles measure the same.
  • A two dimensional shape (2D shape) is irregular if all the sides are of unequal length and all its angles are of unequal measures.

Observe the following figure which shows the difference between regular and irregular two dimensional shapes. It shows a list of 2d shapes.

Regular and Irregular 2D Shapes

Difference Between 2D and 3D Shapes

The following table shows a comparison between 2D and 3D shapes.

Properties of 2D Shapes

2-D shapes are flat and can be drawn on a sheet of paper. There are different types of regular and irregular two dimensional shapes like a circle, triangle, square, rectangle, pentagon, and hexagon. Let us learn about a few of them along with their properties.

2D Shapes Names

There are many 2d shapes in geometry. However, a few of them are commonly seen around us and are discussed below. Here is a list of 2D shapes examples along with their properties.

A circle is a closed 2 Dimensional shape made up of a curved line with no corners or edges. Some real-life examples of the circle are coins, wheels, and pizzas. A circle consists of various parts like the radius, diameter, circumference, and so on.

Properties of a Circle

Observe the properties of a circle to identify it as a two-dimensional shape.

  • Circles are completely round and made up of a single curved line.
  • The circumference is the length of the boundary of the circle.
  • The radius is the distance from the center of the circle to the boundary of the circle.
  • The diameter is a line segment that goes straight across the circle, through the center. It is the longest possible line that can be drawn inside a circle and is twice the length of the radius.

Observe the following figure to see the different parts of a circle.

2D shape - 2D circle

A triangle is a 2 dimensional shape with three sides and three vertices (corners).

Properties of a Triangle

Observe the properties of a triangle to identify it as a two dimensional shape.

  • A triangle is a closed shape with 3 sides, 3 vertices and 3 angles.
  • It is a polygon whose interior angles add up to 180°.

Some real-life examples of a triangle are traffic signs, pyramids, and nachos. The following figure shows the sides and vertices of a triangle.

Parts of a 2D Triangle - 2D shape

A square is a 2 dimensional shape with four equal sides and each angle is equal to 90˚. Some of the real-life examples of a square are: a loaf of bread and a chessboard.

Properties of a Square

Observe the properties of the given square PQSR to identify it as a 2D shape.

  • All four sides are equal, i.e., side PQ = QS = RS = PR
  • Side PQ is parallel to RS.
  • Side PR is parallel to QS.
  • All four internal angles measure 90 ̊.

2D Square - 2D shape

A rectangle is a 2D shape with four sides in which the opposite sides are equal and parallel, and all the four angles measure 90 ̊. Some of the real-life examples of a rectangle are table tops, blackboards, cardboard, etc.

Properties of a Rectangle

Observe the properties of the given rectangle ABCD to identify it as a 2D shape.

  • Side AB = DC
  • Side AD = BC
  • Side AB is parallel to DC.
  • Side AD is parallel to BC.
  • All four angles measure 90 ̊.

2D shape - 2D Rectangle

Area and Perimeter of 2D Shapes

The area of a 2D shape is the space enclosed within it. The perimeter of a 2D shape is the total length of its boundary. The following table shows the formulas that are used to calculate the area and perimeter of a few common 2D shapes:

Important Notes

Here are a few important notes that should be remembered while studying 2D shapes.

  • Every 2D shape can be measured by its width and length.
  • All the 2D shapes are completely flat.

2d Shapes Real Life Examples

A few real-life examples of 2d shapes are given below:

  • A currency note which has the shape of a rectangle
  • A chess board that has the shape of a square.
  • A cookie in the shape of a circle.
  • A honeycomb with little hexagons in it.

☛ Related Articles

  • Geometric Shapes
  • Plane Shapes
  • Solid Shapes
  • Visualizing Solid Shapes
  • 2D and 3D Shapes Worksheets

2D Shapes Examples

Example 1: Does a rectangle come under the category of 2D shapes? The length of a rectangle is 32 m and the width is 20 m. Find the perimeter of this rectangle.

Solution : Yes, a rectangle comes under the category of 2D shapes. The length of the given rectangle = 32 m; width = 20 m

We know that the perimeter of a rectangle = 2 (length + width)

P = 2 (32 + 20) = 2 (52) = 2 × 52 = 104 m

Therefore, the perimeter of the rectangle is 104 m.

Example 2: Does a circle come under 2D shapes? Find the area of a circle whose radius is 6 cm.

Area of the circle = π × r 2

= 3.14 × 6 2

= 3.14 × 36

Therefore, the Area of the circle = 113.04 square cm

Example 3: Identify the 2D shapes from the following. Circle, rectangular box, Rubik's cube, hexagon

Among the given shapes, a circle and a hexagon are 2D shapes because they do not have any thickness or depth. A rectangular box and a Rubik's cube are 3D shapes because they have 3 dimensions, (length, width, and height).

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shape properties homework

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Practice Questions on 2D Shapes

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FAQs on 2D Shapes

What are 2d shapes in maths.

A 2D (two-dimensional) shape can be defined as a plane figure that can be drawn on a flat surface. It has only two dimensions - length and width, with no thickness or depth. Some of the basic 2D shapes are rectangle, pentagon, quadrilateral, circle, triangles , square, octagon , and hexagon.

What are 2D Shapes and 3D Shapes?

A flat shape that has two dimensions - length and width, is a 2D shape, whereas, a shape that has three dimensions - length, width, and depth (height) is a 3D shape .

What are the Properties of 2D Shapes?

A 2D shape is a flat shape that can be drawn on a plane surface. As the name suggests, it has only two dimensions of length and width without any thickness. While some 2D shapes have sides and vertices, others are made up of curved lines.

How many 2D Shapes are there?

There are many different kinds of 2D shapes, like the rectangle, pentagon, quadrilateral, circle, triangle, square , octagon and hexagon . These are flat shapes that can be drawn on a flat surface.

How to find the Area of 2D Shapes?

The area of a 2D shape is the space occupied by it. Since there are different kinds of 2D shapes like circles, squares, rectangles, etc., there are different formulas used to find their areas. For example, the area of a circle can be calculated with the help of the formula, Area = πr 2 , where 'r' is the radius of the circle and (pi) π is a constant with a value of 22/7. The area of a square is calculated with the formula, Area = side × side. The area of 2D shapes is expressed in square units.

How to Teach 2D Shapes?

Teaching 2D shapes is easy if the concept is introduced in the early years. First of all, the names of the basic shapes can be made to learn. Then, the students should be asked to identify the names of the shapes from a list of 2d shapes. Another interesting way can be by asking them to spot the shapes around them.

Name the 2D Shapes around the House.

Some commonly seen 2d shapes that can be seen in the house are, the rectangular surface of a notebook (rectangle), the circular shape of a clock (circle), the circular shape of a pizza, a square-shaped window (square)

Is Circle a 2D Shape?

Yes, a circle is a 2D shape because it exists on a plane with no depth. It is a curved shape that has no corners or edges.

Which 2D Shape has 4 Sides?

A quadrilateral is a 2D shape that has four sides. For example, quadrilaterals like squares and rectangles are 2D shapes with 4 sides.

Is Oval 2D or 3D Shape?

Oval is a 2D shape because it exists on a plane and has no depth. It is a curved figure with no edges or corners.

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Geometry (all content)

Unit 1: lines, unit 2: angles, unit 3: shapes, unit 4: triangles, unit 5: quadrilaterals, unit 6: coordinate plane, unit 7: area and perimeter, unit 8: volume and surface area, unit 9: pythagorean theorem, unit 10: transformations, unit 11: congruence, unit 12: similarity, unit 13: trigonometry, unit 14: circles, unit 15: analytic geometry, unit 16: geometric constructions, unit 17: miscellaneous.

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Out of the Centre

Savvino-storozhevsky monastery and museum.

Savvino-Storozhevsky Monastery and Museum

Zvenigorod's most famous sight is the Savvino-Storozhevsky Monastery, which was founded in 1398 by the monk Savva from the Troitse-Sergieva Lavra, at the invitation and with the support of Prince Yury Dmitrievich of Zvenigorod. Savva was later canonised as St Sabbas (Savva) of Storozhev. The monastery late flourished under the reign of Tsar Alexis, who chose the monastery as his family church and often went on pilgrimage there and made lots of donations to it. Most of the monastery’s buildings date from this time. The monastery is heavily fortified with thick walls and six towers, the most impressive of which is the Krasny Tower which also serves as the eastern entrance. The monastery was closed in 1918 and only reopened in 1995. In 1998 Patriarch Alexius II took part in a service to return the relics of St Sabbas to the monastery. Today the monastery has the status of a stauropegic monastery, which is second in status to a lavra. In addition to being a working monastery, it also holds the Zvenigorod Historical, Architectural and Art Museum.

Belfry and Neighbouring Churches

shape properties homework

Located near the main entrance is the monastery's belfry which is perhaps the calling card of the monastery due to its uniqueness. It was built in the 1650s and the St Sergius of Radonezh’s Church was opened on the middle tier in the mid-17th century, although it was originally dedicated to the Trinity. The belfry's 35-tonne Great Bladgovestny Bell fell in 1941 and was only restored and returned in 2003. Attached to the belfry is a large refectory and the Transfiguration Church, both of which were built on the orders of Tsar Alexis in the 1650s.  

shape properties homework

To the left of the belfry is another, smaller, refectory which is attached to the Trinity Gate-Church, which was also constructed in the 1650s on the orders of Tsar Alexis who made it his own family church. The church is elaborately decorated with colourful trims and underneath the archway is a beautiful 19th century fresco.

Nativity of Virgin Mary Cathedral

shape properties homework

The Nativity of Virgin Mary Cathedral is the oldest building in the monastery and among the oldest buildings in the Moscow Region. It was built between 1404 and 1405 during the lifetime of St Sabbas and using the funds of Prince Yury of Zvenigorod. The white-stone cathedral is a standard four-pillar design with a single golden dome. After the death of St Sabbas he was interred in the cathedral and a new altar dedicated to him was added.

shape properties homework

Under the reign of Tsar Alexis the cathedral was decorated with frescoes by Stepan Ryazanets, some of which remain today. Tsar Alexis also presented the cathedral with a five-tier iconostasis, the top row of icons have been preserved.

Tsaritsa's Chambers

shape properties homework

The Nativity of Virgin Mary Cathedral is located between the Tsaritsa's Chambers of the left and the Palace of Tsar Alexis on the right. The Tsaritsa's Chambers were built in the mid-17th century for the wife of Tsar Alexey - Tsaritsa Maria Ilinichna Miloskavskaya. The design of the building is influenced by the ancient Russian architectural style. Is prettier than the Tsar's chambers opposite, being red in colour with elaborately decorated window frames and entrance.

shape properties homework

At present the Tsaritsa's Chambers houses the Zvenigorod Historical, Architectural and Art Museum. Among its displays is an accurate recreation of the interior of a noble lady's chambers including furniture, decorations and a decorated tiled oven, and an exhibition on the history of Zvenigorod and the monastery.

Palace of Tsar Alexis

shape properties homework

The Palace of Tsar Alexis was built in the 1650s and is now one of the best surviving examples of non-religious architecture of that era. It was built especially for Tsar Alexis who often visited the monastery on religious pilgrimages. Its most striking feature is its pretty row of nine chimney spouts which resemble towers.

shape properties homework

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Gagarin Cup Preview: Atlant vs. Salavat Yulaev

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Share All sharing options for: Gagarin Cup Preview: Atlant vs. Salavat Yulaev

Gagarin cup (khl) finals:  atlant moscow oblast vs. salavat yulaev ufa.

Much like the Elitserien Finals, we have a bit of an offense vs. defense match-up in this league Final.  While Ufa let their star top line of Alexander Radulov, Patrick Thoresen and Igor Grigorenko loose on the KHL's Western Conference, Mytischi played a more conservative style, relying on veterans such as former NHLers Jan Bulis, Oleg Petrov, and Jaroslav Obsut.  Just reaching the Finals is a testament to Atlant's disciplined style of play, as they had to knock off much more high profile teams from Yaroslavl and St. Petersburg to do so.  But while they did finish 8th in the league in points, they haven't seen the likes of Ufa, who finished 2nd. 

This series will be a challenge for the underdog, because unlike some of the other KHL teams, Ufa's top players are generally younger and in their prime.  Only Proshkin amongst regular blueliners is over 30, with the work being shared by Kirill Koltsov (28), Andrei Kuteikin (26), Miroslav Blatak (28), Maxim Kondratiev (28) and Dmitri Kalinin (30).  Oleg Tverdovsky hasn't played a lot in the playoffs to date.  Up front, while led by a fairly young top line (24-27), Ufa does have a lot of veterans in support roles:  Vyacheslav Kozlov , Viktor Kozlov , Vladimir Antipov, Sergei Zinovyev and Petr Schastlivy are all over 30.  In fact, the names of all their forwards are familiar to international and NHL fans:  Robert Nilsson , Alexander Svitov, Oleg Saprykin and Jakub Klepis round out the group, all former NHL players.

For Atlant, their veteran roster, with only one of their top six D under the age of 30 (and no top forwards under 30, either), this might be their one shot at a championship.  The team has never won either a Russian Superleague title or the Gagarin Cup, and for players like former NHLer Oleg Petrov, this is probably the last shot at the KHL's top prize.  The team got three extra days rest by winning their Conference Final in six games, and they probably needed to use it.  Atlant does have younger regulars on their roster, but they generally only play a few shifts per game, if that. 

The low event style of game for Atlant probably suits them well, but I don't know how they can manage to keep up against Ufa's speed, skill, and depth.  There is no advantage to be seen in goal, with Erik Ersberg and Konstantin Barulin posting almost identical numbers, and even in terms of recent playoff experience Ufa has them beat.  Luckily for Atlant, Ufa isn't that far away from the Moscow region, so travel shouldn't play a major role. 

I'm predicting that Ufa, winners of the last Superleague title back in 2008, will become the second team to win the Gagarin Cup, and will prevail in five games.  They have a seriously well built team that would honestly compete in the NHL.  They represent the potential of the league, while Atlant represents closer to the reality, as a team full of players who played themselves out of the NHL. 

  • Atlant @ Ufa, Friday Apr 8 (3:00 PM CET/10:00 PM EST)
  • Atlant @ Ufa, Sunday Apr 10 (1:00 PM CET/8:00 AM EST)
  • Ufa @ Atlant, Tuesday Apr 12 (5:30 PM CET/12:30 PM EST)
  • Ufa @ Atlant, Thursday Apr 14 (5:30 PM CET/12:30 PM EST)

Games 5-7 are as yet unscheduled, but every second day is the KHL standard, so expect Game 5 to be on Saturday, like an early start. 

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OpenAI's big event: CTO Mira Murati announces GPT-4o, which gives ChatGPT a better voice and eyes

  • OpenAI's "Spring Update" revealed new updates to ChatGPT.
  • OpenAI CTO Mira Murati kicked off the event.
  • She announced GPT-4o, its next flagship AI model, with improved voice and vision capabilities.

Insider Today

OpenAI just took the wraps off a big new update to ChatGPT.

Cofounder and CEO Sam Altman had teased "new stuff" coming to ChatGPT and GPT-4 , the AI model that powers its chatbot, and told his followers to tune in Monday at 1 p.m. ET for its "Spring Update" to learn more.

Also ahead of time, Altman ruled that the event would reveal GPT-5 or a new OpenAI search engine, which is reportedly in the works. OpenAI is reportedly planning to eventually take on internet search giant Google with its own AI-powered search product.

But the big news on Monday was OpenAI's new flagship AI model, GPT-4o, which will be free to all users and "can reason across audio, vision, and text in real time." It was CTO Mira Murati who delivered the updates with no appearance on the livestream from Altman.

There were a ton of demos intended to demonstrate the real-time smarts of GPT-4o.

OpenAI researchers showed how the new ChatGPT can quickly translate speech and help with basic linear algebra using its visual capabilities. The use of the tech on school assignments has been a polarizing topic in education since it first launched.

Say hello to GPT-4o, our new flagship model which can reason across audio, vision, and text in real time: https://t.co/MYHZB79UqN Text and image input rolling out today in API and ChatGPT with voice and video in the coming weeks. pic.twitter.com/uuthKZyzYx — OpenAI (@OpenAI) May 13, 2024

OpenAI posted another example to X of how one can interact with the new ChatGPT bot. It resembled a video call, and it got pretty meta.

In the video, ChatGPT takes in the room around it, discerns it's a recording setup, figures it might have something to do with OpenAI since the user is wearing a hoodie, and then gets told that the announcement has to do with the AI — it is the AI. It reacts with a voice that sounds more emotive.

OpenAI also announced the desktop version of ChatGPT, and a new and improved user interface.

In addition to GPT-4o and ChatGPT, OpenAI's other products include its AI-powered image generator DALL-E , its unreleased text-to-video generator Sora , and its GPT app store.

You can catch up on our liveblog of the event below.

That’s a wrap! OpenAI concludes the event without an appearance from Altman.

OpenAI says text and image input for GPT-4o-powered ChatGPT is launching today. Meanwhile, voice and video options will drop in the coming weeks, the company said.

Although Altman didn't step in front of the camera, the CEO posted videos from the audience on X.

He also teases "more stuff to share soon."

GPT-4o can also break down charts

The new AI model can interact with code bases, the OpenAI execs say. The next demo shows it analyzing a chart from some data.

It's a plot of global temperatures. GPT-4o gives some takeaways from what it sees, and CTO Mira Murati asks about the Y axis, which the AI explains.

ChatGPT reads human emotions — with a stumble

shape properties homework

For the last live demo of the day, Zoph holds his phone up to his face and asks ChatGPT to tell him how he looks. Initially, it identifies him as a "wooden surface" — a reference to an earlier photo he had shared.

But after a second try, the model gives a better answer.

"It looks like you're feeling pretty happy and cheerful," ChatGPT says, noting the small smile on Zoph's face.

In one of the final tests, ChatGPT becomes a translator

shape properties homework

In response to a request from an X user, Murati speaks to ChatGPT in Italian.

In turn, the bot translates her query into English for Zoph and Chen.

"Mike, she wonders if whales could talk, what would they tell us?" she said in English after hearing Murati's Italian.

It's pretty impressive.

The video demo shows how it could help with math homework, including basic linear algebra

shape properties homework

OpenAI Research Lead Barret Zoph walks through an equation on a whiteboard (3x+1=4), and ChatGPT gives him hints as he finds the value of x — making it basically a real-time math tutor.

At the beginning, the bot jumped the gun.

"Whoops, I got too excited," it said after it tried to solve the math problem hadn't been uploaded yet.

But it then walked him through each step, recognizing his written work as he tried to solve the equation.

It was able to recognize math symbols, and even a heart.

OpenAI's first demo: Talking to GPT-4o

It's demo time!

The new bot has a voice that sounds like an American female, but no word yet if you can change it.

OpenAI Research Lead Mark Chen pulled out ChatGPT on his phone and asks for advice on giving a live presentation using Voice Mode.

"Mark, you're not a vacuum cleaner," it responds when he hyperventilates, appearing to perceive his nervousness. It then tells him to moderate his breathing.

Some big changes, you can interrupt the AI now, and there shouldn't be the usual 2 or 3-second delay with GPT-4o.

It can also detect emotion, according to OpenAI.

GPT-4o will have improved voice capabilities

shape properties homework

Murati emphasizes the necessity of safety with the real-time voice and audio capabilities of the new GPT-4o model.

She says OpenAI is "continuing our iterative deployment to bring all the capabilities to you."

Murati says the big news is a "new flagship model" called GPT-4o.

The new model is called GPT-4o, and Murati says that OpenAI is making a "huge step forward" with ease of use with the new model.

It's free for users, and "allows us to bring GPT-4 class intelligence to our free users," Murati says.

And we're off!

shape properties homework

The livestream began with CTO Mira Murati at OpenAI's offices.

OpenAI is going to be announcing 3 things today, she says. "That's it."

For those who want to watch live, you can view the whole event here.

OpenAI will be livestreaming its spring update, which kicks off in less than an hour.

Axel Springer, Business Insider's parent company, has a global deal to allow OpenAI to train its models on its media brands' reporting.

shape properties homework

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COMMENTS

  1. 2d Shapes Worksheets

    Welcome to the Math Salamanders 2d Shapes Worksheets. We have a wide selection of worksheets on 2d shapes, including symmetry worksheets, naming 2d shapes, shape riddles and puzzles, and sheets about the properties of 2d shapes. There are a range of worksheets at different levels, suitable for children from Kindergarten and up.

  2. Properties of shapes

    Triangles are polygons with three sides and three interior angles. Isosceles triangles have two sides with the same length. The two angles opposite these two sides have the same measure. Equilateral triangles have three sides with the same length. Each interior angle of an equilateral triangle measures 60 ∘ . 60 ∘ 60 ∘ 60 ∘.

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    Shapes, angles, grids and more. Our geometry worksheets start with introducing the basic shapes through drawing and coloring exercises and progress through the classification and properties of 2D shapes including quadrilaterals, triangles, circles, and polygons. Area and perimeters, classification of angles, and plotting on coordinate grids are ...

  4. Properties of shapes

    Unit 16: Properties of shapes. Different shapes have different properties, and in this unit, you'll get to know them all. From triangles to quadrilaterals to polygons, you'll learn how to tell them apart and understand what makes each one unique. Different shapes have different properties, and in this unit, you'll get to know them all.

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    Classify shapes and solve problems using what we know of the properties of shapes. Properties of shapes. Learn. Cousin Fal's shape collection (Opens a modal) Recognizing shapes (Opens a modal) Shapes and angles (Opens a modal) Polygons review (Opens a modal) Practice. Compare shapes. 7 questions. Practice. Name shapes 3. 7 questions.

  6. Year 2 Properties of 2D Shapes Differentiated Worksheet

    Use these illustrated worksheets with your KS1 Maths class to teach them to identify the properties of different 2D Shapes. This resource includes both a Higher ability and Middle Ability worksheet, making it perfect for mixed ability groups. Your students must find how many sides or corners different shapes have, such as triangles, pentagons, octagons and more. This worksheet is a wonderful ...

  7. Properties of Shapes KS2

    Sponge Sections. Age 7 to 11. Challenge Level. You have been given three shapes made out of sponge: a sphere, a cylinder and a cone. Your challenge is to find out how to cut them to make different shapes for printing.

  8. Properties of 2D Shapes Homework Worksheet Pack

    This properties of 2D shapes homework worksheet pack is a brilliant way for children to cement their understanding of this mathematical topic. It's a really handy set of worksheets to give your children to do during homework time, with questions that help them engage with what they've learnt. Downloading this pack of worksheets couldn't be easier and take just a few seconds. With a ...

  9. 2D Shapes and Properties Activity Pack (teacher made)

    This collection of 2D shapes worksheets contains a variety of 2D shape activities for students to engage in, including activities that focus on 2D shape edges and 2D shape number of sides, as well as 2D shape properties and table activities differentiated into higher, middle, and lower abilities. Use these 2D shapes worksheets in the classroom ...

  10. Year 6 Properties of Shapes Worksheet

    docx, 94 KB. This worksheet belongs with it's original full resource set which you can find on my profile that comes with a differentiated worksheet, and a lesson plan. An activity worksheet for Year 6 Geometry: Properties of Shapes in relation to 3-D nets and 2-D shapes. It comes with two documents, one is a Worksheet which gives space for the ...

  11. 2D Shapes

    2D Shapes. A 2D shape is a flat shape that has only two dimensions - length and width, with no thickness or depth, that is the reason why it is called a two-dimensional shape. For example, a sheet of paper is two-dimensional in shape. It consists of a length and a width but does not have any depth or height. Some common 2D shapes are squares ...

  12. Geometry (all content)

    Learn geometry—angles, shapes, transformations, proofs, and more. ... Properties of shapes: Shapes Equal parts of shapes: Shapes Classifying geometric shapes: Shapes. Curves and polygons: Shapes Angles with polygons: Shapes Geometric solids (3D shapes): Shapes. Unit 4: Triangles.

  13. Sort and Order 2D Shapes Based on Properties

    4 sides or less 5 sides or more. Another way you might be asked to sort 2D shapes is by using a Venn diagram . A Venn diagram is made up of two, overlapping circles. Each circle is given a property that it represents. In the example below, the circles represent straight sides and curved sides. This means that in one circle you will place shapes ...

  14. 100+ 3D Shapes Activities

    We've put together pages and pages of suitable resources that could work as a 3D shape activity for a variety of ages. Help your children learn all about these shapes by using our handy range of 3D shape lesson resources for year 1 and year 2. Browse for a range of worksheets, games, cube nets, and activities in the form of word cards, word ...

  15. Properties of 2D Shapes Homework Worksheet Pack

    This properties of 2D shapes homework worksheet pack is a brilliant way for children to cement their understanding of this mathematical topic. It's a really handy set of worksheets to give your children to do during homework time, with questions that help them engage with what they've learnt. Downloading this pack of worksheets couldn't be easier and take just a few seconds. With a ...

  16. Properties of Shapes Home Learning Activity Booklet

    A four-sided 2d Shape with four sides that are equal in length and all the angles are equal to 90°. A rectangle. A 2d shape with four sides and each opposite side is equal and parallel to the other. This Properties of Shapes Home Learning Activity Booklet offers a number of activities to support learning in the geometry element of Year 2 Maths.

  17. Properties of 2D Shapes Worksheet Year 3

    This 2D Shapes Worksheet Year 3 resource is a great way of assessing student familiarity with 2D shapes and the differences between them. Featured 2D Shapes include: Triangles. Rectangles. Squares. Circles. Hexagons. For each 2D shape, students must write down the individual properties and distinguishing features.

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    In 1938, it was granted town status. [citation needed]Administrative and municipal status. Within the framework of administrative divisions, it is incorporated as Elektrostal City Under Oblast Jurisdiction—an administrative unit with the status equal to that of the districts. As a municipal division, Elektrostal City Under Oblast Jurisdiction is incorporated as Elektrostal Urban Okrug.

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    Moscow Oblast ( Russian: Моско́вская о́бласть, Moskovskaya oblast) is a federal subject of Russia. It is located in western Russia, and it completely surrounds Moscow. The oblast has no capital, and oblast officials reside in Moscow or in other cities within the oblast. [1] As of 2015, the oblast has a population of 7,231,068 ...

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    In March 2020, $300,000 could have gotten you a roughly 2,000-square-foot home, according to data on average prices per square foot from Realtor.com. Today, that same dollar amount would get you a ...

  21. Savvino-Storozhevsky Monastery and Museum

    Zvenigorod's most famous sight is the Savvino-Storozhevsky Monastery, which was founded in 1398 by the monk Savva from the Troitse-Sergieva Lavra, at the invitation and with the support of Prince Yury Dmitrievich of Zvenigorod. Savva was later canonised as St Sabbas (Savva) of Storozhev. The monastery late flourished under the reign of Tsar ...

  22. Gagarin Cup Preview: Atlant vs. Salavat Yulaev

    Much like the Elitserien Finals, we have a bit of an offense vs. defense match-up in this league Final. While Ufa let their star top line of Alexander Radulov, Patrick Thoresen and Igor Grigorenko loose on the KHL's Western Conference, Mytischi played a more conservative style, relying on veterans such as former NHLers Jan Bulis, Oleg Petrov, and Jaroslav Obsut.

  23. Properties of Shapes

    Properties of Shapes - KS3. Whether it's 2D or 3D, a circle, triangle or parallelogram, we have a multitude of resources to help your students fully comprehend the various properties of shapes. Guidance sheets, games, activities, worksheet packs, display posters and lesson plans all comprise to bring your classes a wealth of information that ...

  24. Chinese Takeaway Worker Jailed for Bitcoin Money Laundering Now Worth $4B

    Authorities were alerted when the British-Chinese woman attempted to buy London properties valued at $29.7 million, $15.8 million, and $5.7 million. ... An icon in the shape of a person's head and ...

  25. 3D Shapes And Properties (teacher made)

    3D Shapes Properties Table Activity Sheet.pdf. Do These Shapes Roll Activity Sheet.pdf. Twinkl Key Stage 1 - Year 1, Year 2 Maths Properties of Shape 3D Shapes Games and Activities. 3D Shapes And Properties - This fantastic resource pack provides four different worksheets you can use during class to help your children with their shapes!

  26. OpenAI's Big Event: New GPT-4o Model Announced

    But the big news on Monday was OpenAI's new flagship AI model, GPT-4o, which will be free to all users and "can reason across audio, vision, and text in real time." It was CTO Mira Murati who ...