Rotational SymmetryAll 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as its order.

Order 1 Order 2 Order 3 Order 4

For shapes that have “order 2” rotational symmetry or higher, a single centre of rotation can be located.

For shapes that have only “order 1” rotational symmetry a centre of rotation can be found anywhere within it.

The order of rotational symmetry that an object has is the number of times that it fits on to itself during a full rotation of 360 degrees.

Rotational SymmetryThe order of rotational symmetry that an object has is the number of times that it fits on to itself during a full rotation of 360 degrees.

Order 1

Rotational Symmetry

Order 11

2

Order 2

The order of rotational symmetry that an object has is the number of times that it fits on to itself during a full rotation of 360 degrees.

Rotational Symmetry

Order 11

2

Order 2

12

3

Order 3

The order of rotational symmetry that an object has is the number of times that it fits on to itself during a full rotation of 360 degrees.

Rotational Symmetry

Order 11

2

Order 2

12

3

Order 312

3 4

Order 4

The order of rotational symmetry that an object has is the number of times that it fits on to itself during a full rotation of 360 degrees.

What is the order of rotational symmetry of the shape below?

Rotational Symmetry

1

23

4

5

What is the order of rotational symmetry of the shape below?

Order 5

Rotational Symmetry

What is the order of rotational symmetry of the shape below?

Rotational Symmetry

1

2

3

4

5

What is the order of rotational symmetry of the shape below?

Order 6

Rotational Symmetry

6

Equilateral Triangle

An equilateral triangle has rotational symmetry of order ?

Regular Polygons

Equilateral Triangle

An equilateral triangle has rotational symmetry of order ?

Equilateral Triangle

An equilateral triangle has rotational symmetry of order ?

12

33

Square

A square has rotational symmetry of order ?

Square

Square

A square has rotational symmetry of order ?

Square

A square has rotational symmetry of order ?

12

3

4

4

Pentagon

Regular Pentagon

A regular pentagon has rotational symmetry of order ?

Regular Pentagon

A regular pentagon has rotational symmetry of order ?

Regular Pentagon

A regular pentagon has rotational symmetry of order ? 5

1

23

4

5

Hexagon

Regular HexagonA regular hexagon has rotational symmetry of order ?

Regular HexagonA regular hexagon has rotational symmetry of order ?

1

23

4

5 6

Regular HexagonA regular hexagon has rotational symmetry of order ? 6

Regular OctagonA regular octagon has rotational symmetry of order ?

Octagon

1

2

34

5

6

Regular OctagonA regular octagon has rotational symmetry of order ? 8

7 8

Rectangle

RectangleA rectangle has rotational symmetry of order ?

2

1

2

RectangleA rectangle has rotational symmetry of order ?

Parallelogram

ParallelogramA parallelogram has rotational symmetry of order ?

2

1

2

ParallelogramA parallelogram has rotational symmetry of order ?

Isos Tri

Isosceles TriangleAn isosceles triangle has rotational symmetry of order ?

Isos Tri

1

1

Isosceles TriangleAn isosceles triangle has rotational symmetry of order ?

Scalene Tri

Scalene TriangleAn scalene triangle has rotational symmetry of order ?

1

1

Scalene TriangleAn scalene triangle has rotational symmetry of order ?

Isos Trapezium

Isosceles TrapeziumAn isosceles trapezium has rotational symmetry of order ?

1

1

Isosceles TrapeziumAn isosceles trapezium has rotational symmetry of order ?

Trapezium

TrapeziumA trapezium has rotational symmetry of order ?

1

1

A trapezium has rotational symmetry of order ?

Trapezium

A kite has rotational symmetry of order ?

Kite

Kite

1

1

A kite has rotational symmetry of order ?

Kite

Rhombus

A rhombus has rotational symmetry of order ?

Rhombus

2

1

A rhombus has rotational symmetry of order ?

Rhombus

2

Ellipse

An ellipse has rotational symmetry of order ?

Ellipse

Ellipse

2

1

An ellipse has rotational symmetry of order ?

Ellipse

2

Questions 1

Rotational SymmetryState the order of rotational symmetry for each shape below:

1 2 3 4

5 6 7 8

9 10 11 12

Order 6 Order 2 Order 3 Order 2

Order 1 Order 3 Order 2 Order 5

Order 4 Order 1 Order 6 Order 8

Worksheet 1

Rotational SymmetryState the order of rotational symmetry for each shape below:

1 2 3 4

5 6 7 8

9 10 11 12

Questions 2

Rotational SymmetryState the order of rotational symmetry for each shape below:

13 14 15 16

17 18 19 20

21 22 23 24

Order 4 Order 1 Order 2 Order 5

Order 2 Order 4 Order 6 Order 3

Order 5 Order 4 Order 3 Order 1

Worksheet 2

Rotational SymmetryState the order of rotational symmetry for each shape below:

13 14 15 16

17 18 19 20

21 22 23 24