As part of your KS3 Maths course you will have discovered certain properties of shapes. Angles, lengths of sides, number of faces etc. There are a number of properties that apply to all polygons, a few more that only apply to regular polygons and others which apply only to 3-dimensional shapes. This quiz is all about symmetry.

Imagine lines of symmetry as reflections. Imagine placing a flat mirror on a shape. If you've found a line of symmetry then the mirror would show an exact copy of the original shape. Try it, it's fun! The trick to finding lines of symmetry is to try this experiment in your head. Imagine a mirror cutting the shape in half. Are both sides reflections of one another or is one 'lopsided'?

When you've done with the mirror game, check what you know about this and other types of symmetry with the following quiz. Take your time and think carefully before choosing your answers. Good look!

1.

How many lines of symmetry does a square have?

1

2

4

None

One horizontal, one vertical and two diagonal lines

2.

How many lines of symmetry does an isosceles triangle have?

0

1

2

3

As two of its sides are of equal length then isosceles tringles have one line of symmetry

3.

Which capital letter has the most lines of symmetry?

H

M

S

T

H has two, M and T have one, S has none

4.

What is the order of rotational symmetry of a rectangle?

0

1

2

3

A rectangle can be rotated about its centre into two positions and look exactly like the original rectangle. This is rotational symmetry

5.

Does a Jumbo jet have a plane of symmetry?

Yes

No

It has two

It is a plane anyway

Think of two halves, separated by a vertical line running down the centre of the plane from nose to tail

6.

How many planes of symmetry does a cube have?

0

3

6

9

Three of the planes run parallel to the faces of the cube, and the other six run diagonally from one edge to its opposite

7.

An equilateral triangle has how many lines of symmetry?

1

3

6

9

One from each of its three angles

8.

Which of these numbers has a line of symmetry?

2

4

6

8

In fact it has two. You can draw a line vertically and another horizontally to see them more clearly

9.

Which statement describes the symmetry of a parallelogram?

0 lines of symmetry. Rotational symmetry of order 2

1 line of symmetry. Rotational symmetry of order 2

3 lines of symmetry. Rotational symmetry of order 1

1 line of symmetry. Rotational symmetry of order 3

Though you can't 'cut' a parallelogram into two reflective parts, you can rotate it to 'fit' in two positions

10.

What is the order of rotational symmetry of a kite?

1

2

3

4

Kites will only cover the same place in one position. If you rotate them less than 360^{o} they will no longer fit the gap