© t madas. a shape has rotational symmetry, if it looks the same in more than one position, when...
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© T Madas
© T Madas
A shape has rotational symmetry, if it looks the same in more than one position, when rotated about its centre.
We say it has a rotational symmetry of order 2 if it looks the same in 2 positions within a whole turn
© T Madas
A shape has rotational symmetry, if it looks the same in more than one position, when rotated about its centre.
We say it has a rotational symmetry of order 3 if it looks the same in 3 positions within a whole turn
© T Madas
A shape has rotational symmetry, if it looks the same in more than one position, when rotated about its centre.
We say it has a rotational symmetry of order 4 if it looks the same in 4 positions within a whole turn
© T Madas
R o t a t i o n a lS y m m e t r y
P r a c t i c e
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Find the order of rotational symmetry for each shape:
4 6
3 2
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Find the order of rotational symmetry for each shape:
6 3 none
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Rotationand
Rotational Symmetry
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We we start we the flag shape belowWe want to create a new shape with rotational symmetryWe pick a point as the centre of rotationFor rotational symmetry of order 2:
We rotate the shape by 180°
180°
360 ÷ 2 = 180
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For rotational symmetry of order 4:
We rotate the shape by 90°
90°
360 ÷ 4 = 90
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For rotational symmetry of order 3:
We rotate the shape by 120°
120°
360 ÷ 3 = 120
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For rotational symmetry of order 5:
We rotate the shape by 72°
72°
360 ÷ 5 = 72
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R o t a t i o n a lS y m m e t r y
P r a c t i c e
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Shade one or more squares to create a shape with rotational order: 5
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Shade one or more squares to create a shape with rotational order: 2
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R o t a t i o n a lS y m m e t r y
P r a c t i c e
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Make a shape with rotational symmetry of order 2
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Make a shape with rotational symmetry of order 4
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Make a shape with rotational symmetry of order 3
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R o t a t i o n a lS y m m e t r y
P r a c t i c e
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Shade this shape so that it has rotational symmetry of order 4
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Shade this shape so that it has rotational symmetry of order 4
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© T Madas
Complete each shape so it has rotational symmetry of order 2 about the given point.
1 2 3
46
5
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1
46
5
Complete each shape so it has rotational symmetry of order 4 about the given point.
2 3
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Shade some of the squares in the following two grids so that the resulting pattern has order of rotational symmetry of 4.
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© T Madas
Part of a shape is drawn on this grid.The shape has rotational symmetry of order 4, about the point P.Complete the shape.
P
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© T Madas
a) Mark all the lines of symmetry on each shape.
b) For the shapes that have rotational symmetry, write down its order.
1 2
3 4
© T Madas
a) Mark all the lines of symmetry on each shape.
b) For the shapes that have rotational symmetry, write down its order.
1 2
3 4
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1
a) Mark all the lines of symmetry on each shape.
b) For the shapes that have rotational symmetry, write down its order.
2
3 4
Order 3
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1
a) Mark all the lines of symmetry on each shape.
b) For the shapes that have rotational symmetry, write down its order.
2
3 4
Order 3
Order 2
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1
a) Mark all the lines of symmetry on each shape.
b) For the shapes that have rotational symmetry, write down its order.
2
3 4
Order 3
Order 2
Order 1
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1
a) Mark all the lines of symmetry on each shape.
b) For the shapes that have rotational symmetry, write down its order.
2
3 4
Order 3
Order 1
Order 1
Order 2
© T Madas
© T Madas
Look at the shapes labelled as A to F1. Write the letter of the shapes that have 2
lines of symmetry.2. Write the letter of the shapes that have
rotational symmetry of order 2.
A B C
D E F
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Look at the shapes labelled as A to F1. Write the letter of the shapes that have 2
lines of symmetry.2. Write the letter of the shapes that have
rotational symmetry of order 2.
A B C
D E F
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© T Madas
A CB
Four road signs are shown below.
1. Write down the letter of the two signs that have one line of symmetry.
2. Write down the letter of the sign that has rotational symmetry and state the order of this symmetry.
D
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A B
Four road signs are shown below.
1. Write down the letter of the two signs that have one line of symmetry.
2. Write down the letter of the sign that has rotational symmetry and state the order of this symmetry.
C D
Order 3
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