Position and transformation

Rotating shapes

Name: ______________________________Date: ______________Score: ______ / 20

1.
What is the fixed point that a shape turns about called?
1. Athe centre of rotation
2. Bthe mirror line
3. Cthe vertex
2.
How many degrees are there in a half turn?
°
3.
A rotation of 180° clockwise gives the same image as a rotation of 180° anticlockwise.
True False
4.
A shape is rotated 90° clockwise 2 times in a row. Through how many degrees has it turned altogether?
°
5.
Which direction do the hands of a clock move?
1. Aclockwise
2. Banticlockwise
3. Cneither
6.
Sort each statement about rotations.
Write each item’s group (True / False):
- the centre of rotation does not move
- the object and image are congruent
- 180° needs a direction to be clear
- 90° needs a direction to be clear
7.
A full turn is split into 12 equal turns. How many degrees is each one?
°
8.
A rotation of 180° is what fraction of a full turn?
1. A4/8
2. B4/4
3. C4/360
9.
A shape is rotated 45° clockwise, then 180° clockwise. Through how many degrees has it turned altogether?
°
10.
A rotation of 135° is what fraction of a full turn?
1. A3/4
2. B3/8
3. C3/360
11.
A full turn is split into 5 equal turns. How many degrees is each one?
°
12.
A shape is rotated 135° clockwise, then 225° clockwise. Through how many degrees has it turned altogether?
°
13.
A rotation of 360° clockwise is the same as a rotation of 360° anticlockwise.
True False
14.
A shape is rotated 225° clockwise, then 135° clockwise. Through how many degrees has it turned altogether?
°
15.
A rotation of 45° is what fraction of a full turn?
1. A1/8
2. B1/4
3. C1/360
16.
A rotation of 315° is what fraction of a full turn?
1. A7/4
2. B7/8
3. C7/360
17.
A rotation of 210° clockwise turns a shape to the same place as how many degrees anticlockwise?
°
18.
A rotation of 225° clockwise is the same as a rotation of 225° anticlockwise.
True False
19.
A shape is rotated 90° clockwise, then 270° clockwise. Through how many degrees has it turned altogether?
°
20.
A shape is rotated 135° clockwise, then 90° clockwise. Through how many degrees has it turned altogether?
°

Answer key

Position and transformation — Rotating shapes

1.A. the centre of rotation
2.180 °
3.True
4.180 °
5.A. clockwise
6.the centre of rotation does not move = True; the object and image are congruent = True; 180° needs a direction to be clear = False; 90° needs a direction to be clear = True
7.30 °
8.A. 4/8
9.225 °
10.B. 3/8
11.72 °
12.360 °
13.True
14.360 °
15.A. 1/8
16.B. 7/8
17.150 °
18.False
19.360 °
20.225 °