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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 ±«Óătv 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’s 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’t 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 C±«Óătv 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 Halloween update
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More on Symmetry

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