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6. How much has the shape been turned?

a. b.

7. Show where the hour hand would be after a quarter turn. one has been done for you.

12 12 12 12
11 1 11 1 11 1 11 1
10 2 10 2 10 2 10 2
a. 9 3 b. 9 3 c. 9 3 d. 9 3
8 4 8 4 8 4 8 4
7 6 5 7 6 5 7 6 5 7 6 5

8. Show where the minute hand would be after a half turn. one has been done for you.

12 12 12 12
11 1 11 1 11 1 11 1
10 2 10 2 10 2 10 2
a. 9 3 b. 9 3 c. 9 3 d. 9 3
8 4 8 4 8 4 8 4
7 6 5 7 6 5 7 6 5 7 6 5

rotAtIoNAL Symmetry

A shape has rotational symmetry if it looks the same after being rotated by an angle

less than 360 degrees. The number of times a shape looks the same as the original
during one complete turn is called the order of rotational symmetry.

The fixed point around which the shape is rotated is called the centre of rotation, while
the smallest angle that makes the shape look the same as the original is called the

angle of rotation. In order to find the order of rotational symmetry, the formula is:
360°
Order of rotational symmetry =
Angle of rotation

rotational Symmetry of a Square

1 1 3
Initial 4 turn 2 turn 4 turn full turn
Position E (90° rotation) (180° rotation) E (270° rotation) (360° rotation) E

order 1 E E order 2 order 3 order 4

Thus, the order of rotational symmetry = 4.

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Symmetry and Patterns