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Rotational Symmetry All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as its order. 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. Order 1 Order 2 Order 3 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.

Rotational Symmetry Order 1 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 1 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. 2 Order 2 1

Rotational Symmetry Order 1 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. 3 2 1 Order 3 2 Order 2 1

Rotational Symmetry Order 1 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. 3 2 2 Order 2 3 1 4 1 Order 3 2 Order 4 1

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

Rotational Symmetry What is the order of rotational symmetry of the shape below? 5 4 1 3 Order 5 2

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

Rotational Symmetry What is the order of rotational symmetry of the shape below? 6 5 1 2 4 3 Order 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 ? 3 2 1 3

Square A square has rotational symmetry of order ? Square

Square A square has rotational symmetry of order ?

Square 4 A square has rotational symmetry of order ? 3 4 2 1

Regular Pentagon A regular pentagon has rotational symmetry of order ? Pentagon

Regular Pentagon A regular pentagon has rotational symmetry of order ?

Regular Pentagon A regular pentagon has rotational symmetry of order ? 5 4 1 3 2 5

Regular Hexagon A regular hexagon has rotational symmetry of order ? Hexagon

Regular Hexagon A regular hexagon has rotational symmetry of order ?

Regular Hexagon A regular hexagon has rotational symmetry of order ? 5 6 1 4 3 2 6

Regular Octagon A regular octagon has rotational symmetry of order ? Octagon

Regular Octagon A regular octagon has rotational symmetry of order ? 7 8 6 1 5 2 4 3 8

Rectangle A rectangle has rotational symmetry of order ? Rectangle

Rectangle A rectangle has rotational symmetry of order ? 2 2 1

Parallelogram A parallelogram has rotational symmetry of order ? Parallelogram

Parallelogram A parallelogram has rotational symmetry of order ? 2 2 1

Isosceles Triangle An isosceles triangle has rotational symmetry of order ? Isos Tri

Isosceles Triangle An isosceles triangle has rotational symmetry of order ? 1 Isos Tri 1

Scalene Triangle An scalene triangle has rotational symmetry of order ? Scalene Tri

Scalene Triangle An scalene triangle has rotational symmetry of order ? 1 1

Isosceles Trapezium An isosceles trapezium has rotational symmetry of order ? Isos Trapezium

Isosceles Trapezium An isosceles trapezium has rotational symmetry of order ? 1 1

Trapezium A trapezium has rotational symmetry of order ? Trapezium

Trapezium A trapezium has rotational symmetry of order ? 1 1

Kite A kite has rotational symmetry of order ? Kite

Kite A kite has rotational symmetry of order ? 1 1

Rhombus A rhombus has rotational symmetry of order ? Rhombus

Rhombus A rhombus has rotational symmetry of order ? 2 2 1

Ellipse An ellipse has rotational symmetry of order ? Ellipse

Ellipse An ellipse has rotational symmetry of order ? 1 Ellipse 2 2

Rotational Symmetry State the order of rotational symmetry for each shape below: 1 2 3 Order 6 7 6 10 Questions 1 Order 4 Order 1 8 Order 5 Order 2 Order 3 Order 1 Order 2 Order 3 Order 2 5 9 4 11 12 Order 6 Order 8

Rotational Symmetry State the order of rotational symmetry for each shape below: 1 2 5 9 3 6 10 Worksheet 1 4 7 8 11 12

Rotational Symmetry State the order of rotational symmetry for each shape below: 13 14 Order 4 17 15 Order 1 18 21 22 Questions 2 Order 5 Order 4 Order 5 Order 2 19 20 Order 3 Order 6 Order 4 Order 2 16 23 24 Order 3 Order 1

Rotational Symmetry State the order of rotational symmetry for each shape below: 13 17 21 14 15 18 22 Worksheet 2 19 23 16 20 24