Understanding the centre of rotation | Maths | Quizalize & Oak National Academy

Starter quiz

In which direction is this object being rotated?
- clockwise
- anti-clockwise ✓
- the object is not being rotated
This arrow is currently pointing in the W (west) compass direction. If this arrow is rotated clockwise, what is the first compass direction that it passes through?
- N (north) ✓
- E (east)
- S (south)
- W (west)
Match the size an angle in degrees to its description.
- 90°
  
  ⇔
  
  a quarter turn ✓
- 180°
  
  ⇔
  
  a half turn ✓
- 360°
  
  ⇔
  
  a full turn ✓
- 540°
  
  ⇔
  
  one and a half full turns ✓
- 720°
  
  ⇔
  
  two full turns ✓
- 900°
  
  ⇔
  
  two and a half turn turns ✓
Sofia stands on the spot and rotates clockwise by a half turn and then rotates clockwise by a further three-quarter turn. In total, how many degrees has Sofia rotated by? ______
- '450' ✓
Sofia stands on the spot and rotates anti-clockwise by an angle between a quarter of a full turn and half of full turn. Which of these is a sensible answer for the size of Sofia's rotation?
- 85°
- 115° ✓
- 175° ✓
- 185°
- 295°
Which of these is a suitable description for this rotation?
- Rotated anti-clockwise by 50°. ✓
- Rotated clockwise by 50°.
- Rotated anti-clockwise by 135°.
- Rotated clockwise by 135°.
- Rotated anti-clockwise by 180°.

Which of these is the centre of rotation for this rotation?
- (1, 5)
- (3, 5) ✓
- (5, 3)
- (3, 7)
- (1, 9)
Which of the following complete the full and accurate description of this anti-clockwise rotation?
- centre of rotation of (3, 8)
- centre of rotation of (8, 7)
- centre of rotation of (8, 3) ✓
- 90° rotation ✓
- 270° rotation
Which of the following complete the full and accurate description of this clockwise rotation?
- centre of rotation of (6, 7) ✓
- centre of rotation of (7, 6)
- 90° rotation
- 180° rotation
- 270° rotation ✓
Which of the following complete the full and accurate description of this clockwise rotation?
- centre of rotation of (4, 6)
- centre of rotation of (7, 5) ✓
- centre of rotation of (10, 4)
- 180° rotation ✓
- 360° rotation
An object is rotated by 180°. A pair of corresponding vertices on the object and image are joined with a line segment. Find the coordinates of the centre of rotation. ______
- '(9, 7)' ✓
Which of the following complete the full and accurate description of this rotation?
- 180° clockwise
- 270° anti-clockwise ✓
- centre of rotation of (11, 12)
- centre of rotation of (14, 5) ✓
- centre of rotation of (7, 2)

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The centre of rotation can be on a vertex of the object .
The centre of rotation can be lying inside the object .
The centre of rotation can be lying outside the object .
You need to give the centre, size and direction of rotation to fully describe a rotation .

The centre of rotation is always in the centre of an object.

The centre of rotation can be anywhere. If it's outside the shape, imagine it like a pole in the ground, attached to the object by a rope.

Centre of rotation - The centre of rotation is the fixed point about which an object is rotated.