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Maths Quiz - Level 3-4 Shapes - Symmetry (Questions)

Spot lines of symmetry and rotational symmetry in KS3 shapes. Fold, flip, and turn figures to check matches, then use symmetry in patterns and problem solving.

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Fascinating Fact:

The Taj Mahal in India is famous for its perfect reflection symmetry along its central axis.

In KS3 Maths, symmetry means matching parts of a shape by reflection or rotation. You will find lines of symmetry, work out rotational order, and use symmetry to solve geometry problems and spot patterns.

Key Terms

Line of symmetry: A line that splits a shape into two matching mirror halves.
Rotational symmetry: A shape fits onto itself after a turn of less than a full circle.
Order of rotation: The number of times a shape maps onto itself in one full turn.

Frequently Asked Questions (Click to see answers)

What is a line of symmetry in KS3 maths?

A line of symmetry divides a shape into two mirror halves. If you fold along the line, the halves match exactly with no gaps or overlaps.

What does rotational symmetry and order mean?

A shape has rotational symmetry if it matches itself when turned. The order is how many times it matches in a full 360° turn (order 4 means four matches).

How can I test if a shape has symmetry?

For reflection, fold or use a mirror line to check matching halves. For rotation, turn the shape about its centre and see if it fits before a full turn.

Try These Related Quizzes

1.

How many lines of symmetry does a square have?

[ ]	1
[ ]	2
[ ]	4
[ ]	None

2.

An equilateral triangle has how many lines of symmetry?

[ ]	1
[ ]	3
[ ]	6
[ ]	9

3.

What is the order of rotational symmetry of a rectangle?

[ ]	0
[ ]	1
[ ]	2
[ ]	3

4.

Which capital letter has the most lines of symmetry?

[ ]	H
[ ]	M
[ ]	S
[ ]	T

5.

How many lines of symmetry does an isosceles triangle have?

[ ]	0
[ ]	1
[ ]	2
[ ]	3

6.

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

7.

What is the order of rotational symmetry of a kite?

[ ]	1
[ ]	2
[ ]	3
[ ]	4

8.

Which of these numbers has a line of symmetry?

[ ]	2
[ ]	4
[ ]	6
[ ]	8

9.

How many planes of symmetry does a cube have?

[ ]	0
[ ]	3
[ ]	6
[ ]	9

10.

Does a Jumbo jet have a plane of symmetry?

[ ]	Yes
[ ]	No
[ ]	It has two
[ ]	It is a plane anyway

You can find more about this topic by visiting BBC Bitesize - Symmetry

Maths Quiz - Level 3-4 Shapes - Symmetry (Answers)

1.

How many lines of symmetry does a square have?

[ ]	1
[ ]	2
[x]	4
[ ]	None

One horizontal, one vertical and two diagonal lines

2.

An equilateral triangle has how many lines of symmetry?

[ ]	1
[x]	3
[ ]	6
[ ]	9

One from each of its three angles

3.

What is the order of rotational symmetry of a rectangle?

[ ]	0
[ ]	1
[x]	2
[ ]	3

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

4.

Which capital letter has the most lines of symmetry?

[x]	H
[ ]	M
[ ]	S
[ ]	T

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

5.

How many lines of symmetry does an isosceles triangle have?

[ ]	0
[x]	1
[ ]	2
[ ]	3

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

6.

Which statement describes the symmetry of a parallelogram?

[x]	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

7.

What is the order of rotational symmetry of a kite?

[x]	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

8.

Which of these numbers has a line of symmetry?

[ ]	2
[ ]	4
[ ]	6
[x]	8

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

9.

How many planes of symmetry does a cube have?

[ ]	0
[ ]	3
[ ]	6
[x]	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

10.

Does a Jumbo jet have a plane of symmetry?

[x]	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