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Rotational Symmetry Rotational Symmetry 5 7 2 1

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Page 1: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

Rotational SymmetryRotational Symmetry

5

7 21

Page 2: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

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.

Page 3: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

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 3600 .

Page 4: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

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 3600

Page 5: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

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

Rotational Symmetry

Page 6: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

1

23

4

5

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

Order 5

Rotational Symmetry

Page 7: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

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

Rotational Symmetry

Page 8: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

1

2

3

4

5

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

Order 6

Rotational Symmetry

6

Page 9: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

Equilateral Triangle

An equilateral triangle has rotational symmetry of order ?

Page 10: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

Equilateral Triangle

An equilateral triangle has rotational symmetry of order ?

Page 11: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

Equilateral Triangle

An equilateral triangle has rotational symmetry of order ?

12

33

This shape has rotational symmetry every 120 degrees.

Page 12: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

Square

A square has rotational symmetry of order ?

Square

Page 13: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

Square

A square has rotational symmetry of order ?

Page 14: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

Square

A square has rotational symmetry of order ?

12

3

4

4

A square has rotational symmetry every 90 degrees.360 ÷4 = 90

Page 15: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

Pentagon

Regular Pentagon

A regular pentagon has rotational symmetry of order ?

Page 16: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

Regular Pentagon

A regular pentagon has rotational symmetry of order ?

Page 17: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

Regular Pentagon

A regular pentagon has rotational symmetry of order ? 5

1

23

4

5

A regular pentagon has rotational symmetry 5 times. 360 degrees divide by 5 means it matches up every 72 degrees.

Page 18: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

Hexagon

Regular HexagonA regular hexagon has rotational symmetry of order ?

Page 19: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

Regular HexagonA regular hexagon has rotational symmetry of order ?

Page 20: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

1

23

4

5 6

Regular HexagonA regular hexagon has rotational symmetry of order ? 6

The hexagon has rotational

Symmetry 6 times. 360 ÷6.

It has symmetry eveyy 60 degrees

Page 21: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

Regular OctagonA regular octagon has rotational symmetry of order ?

Octagon

Page 22: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

1

2

34

5

6

Regular OctagonA regular octagon has rotational symmetry of order ? 8

7 8 The regular octagon has 8

points of rotational

symmetry. It matches up

360÷8 or every 45 degrees !

Page 23: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

Rectangle

RectangleA rectangle has rotational symmetry of order ?

Page 24: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

2

1

2

RectangleA rectangle has rotational symmetry of order ?

This rectangle is not a regular polygon. It will show rotational symmetry only twice. 360 degrees÷2 every 180 degrees

Page 25: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

Parallelogram

ParallelogramA parallelogram has rotational symmetry of order ?

Page 26: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

2

1

2

ParallelogramA parallelogram has rotational symmetry of order ?

How many degrees must this parallelogram rotate before it shows symmetry?

Page 27: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

Isosceles TriangleAn isosceles triangle has rotational symmetry of order ?

Page 28: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

1

1

Isosceles TriangleAn isosceles triangle has rotational symmetry of order ?

Page 29: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

Scalene

Scalene TriangleAn scalene triangle has rotational symmetry of order ?

Page 30: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

1

1

Scalene TriangleAn scalene triangle has rotational symmetry of order ?

Page 31: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

Isos Trapezium

Isosceles TrapezoidA isocelese trapezoid has rotational symmetry of order ?

Page 32: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

1

1

Isosceles TrapeziumAn isosceles trapezioid has rotational symmetry of order ?

Since there is no symmetry until it has rotated the entire 360 degrees, the order of symmetry is one.

Page 33: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

Trapezium

Right TrapezoidA trapezium has rotational symmetry of order ?

Page 34: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

1

1

A right trapezoid has rotational symmetry of order ?

Right Trapezoid

Page 35: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

A kite has rotational symmetry of order ?

Kite

Kite

Page 36: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

1

1

A kite has rotational symmetry of order ?

Kite

Kite

Page 37: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

Rhombus

A rhombus has rotational symmetry of order ?

Rhombus

Page 38: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

2

1

A rhombus has rotational symmetry of order ?

Rhombus

2

Page 39: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

Ellipse

An ellipse has rotational symmetry of order ?

Ellipse

Page 40: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

Ellipse

2

1

An ellipse has rotational symmetry of order ?

Ellipse

2

Page 41: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

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

Page 42: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

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

Page 43: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

Now..it’s the time for…Now..it’s the time for…

To ignite your minds..To ignite your minds..To ignite your minds..To ignite your minds..

Page 44: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

@ First, Observe the given Picture carefully.

@ Try to Imagine the rotation

@ Concentrate on the inner designs also

@ Each question carries ‘1m’ as usual

@ Time limit for each Work sheet is ‘5 min.,’ only

# WRITE ONLY THE ORDER OF ROTATIONAL SYMMETRY IN THE GIVEN BOXES

Page 45: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

Worksheet 1

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

1 2 3 4

5 6 7 8

9 10

Page 46: Rotational Symmetry 5 7 2 1 All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as

Worksheet 2

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

13 14

15 16 17 18

19 20

11 12


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