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. PowerPoint XP or above is needed to view the rotations on this presentation. 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 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. Order 1

Rotational Symmetry 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 1 Order 1 Order 2

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

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

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 2 Order 5

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

Regular Polygons 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 3 2 1

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 ? 4 3 4 2 1

Pentagon 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 5 4 1 3 2

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

Regular Hexagon A regular hexagon has rotational symmetry of order ?

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

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

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

Rectangle A rectangle has rotational symmetry of order ? Rectangle

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

Parallelogram Parallelogram A parallelogram has rotational symmetry of order ? Parallelogram

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

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

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

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

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

Isos Trapezium 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 1 A trapezium has rotational symmetry of order ? 1

Kite A kite has rotational symmetry of order ? Kite

Kite 1 A kite has rotational symmetry of order ? 1

Rhombus A rhombus has rotational symmetry of order ? Rhombus

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

Ellipse An ellipse has rotational symmetry of order ? Ellipse

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

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

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

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

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