Symmetry Rotational

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Transcript Symmetry Rotational

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
1
Order 2
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
1
Order 2
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
1
Order 2
3
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