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Watch: What is symmetry?

buildings

Symmetry is when one side of a shape is a mirror image of the other side.

Lots of buildings and everyday objects use symmetry because it looks appealing to the human eye.

buildings

Watch the video below from 91热爆 Bitesize KS2 Maths which shows the lines of symmetry on a square, triangle, rectangle and circle.

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How do you know if a shape is symmetrical?

Did you know?

A 2D shape is symmetrical if a line can be drawn through it and either side is a reflection of the other. You would call this the line of symmetry.

If you put a mirror on this line, you would see the whole shape in the reflection. That鈥檚 why a line of symmetry is sometimes called the mirror line.

Sometimes you can fold a shape in half, and if it fits into itself perfectly with no overlaps you have found a line of symmetry. Some shapes have more than one line of symmetry.

Did you know?

Let's look at some 2D shapes and their lines of symmetry.

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Regular polygons

These are shapes that have all equal sides and equal angles.

The number of lines of symmetry in a regular polygon is always the same as the number of sides!

Take a look at these examples:

Equilateral triangle
equilateral triangle
Image caption,
3 lines of symmetry
Square
square
Image caption,
4 lines of symmetry
Pentagon
Pentagon
Image caption,
5 lines of symmetry
Hexagon
Hexagon
Image caption,
6 lines of symmetry
Heptagon
Heptagon
Image caption,
7 lines of symmetry
Octagon
Octagon
Image caption,
8 lines of symmetry
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Irregular polygons

These are shapes that have sides and angles of different sizes. Some irregular polygons also have lines of symmetry.

Rectangle
Rectangle
Image caption,
2 lines of symmetry
Isosceles triangle
isosceles triangle
Image caption,
1 line of symmetry
Kite
kite
Image caption,
1 line of symmetry
Trapezium
Trapezium
Image caption,
This trapezium has 1 line of symmetry, but some don't have any.
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Circle

Even though a circle isn鈥檛 a polygon, it is still a 2D shape. As long as the line of symmetry goes directly through the centre of the circle, it has unlimited lines of symmetry!

Circle
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Watch: Symmetrical shapes

Watch the video below from C91热爆 to learn more about symmetrical shapes.

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Activities

Activity 1

Label the shapes in this interactive activity with the correct number of lines of symmetry.

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Quiz

Test what you know about lines of symmetry with this quiz!

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NEW! Play Guardians: Defenders of Mathematica - the winter update. game

It's Mathematica as you鈥檝e never seen it before, with all-new festive backgrounds and costumes. Available for a limited time only. Use your maths skills to save the day before it's too late!

NEW! Play Guardians: Defenders of Mathematica - the winter update
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More on Symmetry

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