Rotating objects | Maths | Quizalize & Oak National Academy

Starter quiz

Match the size an angle in degrees to its description.
- 90°
  
  ⇔
  
  a quarter turn ✓
- 180°
  
  ⇔
  
  a half turn ✓
- 270°
  
  ⇔
  
  a three-quarter turn ✓
- 360°
  
  ⇔
  
  a full turn ✓
- 540°
  
  ⇔
  
  a one-and-a-half turn ✓
- 630°
  
  ⇔
  
  a one-and-three-quarter turn ✓
Which of these is an accurate description for this rotation?
- Rotated clockwise by 90°. ✓
- Rotated clockwise by 270°.
- Rotated anti-clockwise by 90°.
- Rotated anti-clockwise by 270°. ✓
What is the centre of rotation for this rotation? ______
- '(4, 1)' ✓
This object has been rotated clockwise. By how many degrees did this object rotate? ______
- '180' ✓
A pair of corresponding vertices on the object and image are joined with a line segment. Join a second pair of vertices to find the coordinates of the centre of rotation.
- (3, 4)
- (11, 8)
- (7, 4)
- (7, 6) ✓
- (9, 7)
This object has been rotated by 180°. The image overlaps its object. Find the coordinates of the centre of rotation.
- '(6, 7)' ✓

When you use tracing paper to rotate an object, which two things should you draw onto the tracing paper?
- the origin
- the whole object ✓
- exactly two vertices of the object
- both the $x$ -axis and $y$ -axis
- the centre of rotation ✓
After which step can you remove the tracing paper in order to progress onto the next step in completing your rotation?
- after drawing the object and centre of rotation on the tracing paper
- after drawing the image on the paper underneath
- after pushing your pencil onto the centre of rotation to use it as a pivot
- after pushing your pencil onto each of the vertices to leave an imprint ✓
- after rotating the tracing paper
This object will be rotated 90° anti-clockwise with the centre of rotation of (6, 6). Where will the image of vertex A end up after this rotation?
- (4, 10)
- (2, 6) ✓
- (8, 6)
- (6, 6)
- (6, 2)
This object will be rotated 180° with the centre of rotation of (6, 6). Where will the image of vertex B end up after this rotation? ______
- '(4, 6)' ✓
This object will be rotated 90° clockwise with the centre of rotation of (9, 4). Where will the image of vertex C end up after this rotation?
- (9, 4)
- (9, 6)
- (9, 7) ✓
- (9, 8)
- (9, 10)
This object will be rotated 90° clockwise with the centre of rotation of (9, 4). Where will the image of vertex D end up after this rotation? ______
- '(15, 10)' ✓

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Tracing paper can be a helpful tool to perform a rotation.
The image and the object should be congruent.
Unless a full rotation occurs, the object and its image will not have the same orientation.

After drawing an object on the tracing paper, you take the tracing paper off the table to rotate it.

This is especially dangerous if the centre of rotation wasn't drawn on the tracing paper, too. The image will lose its correct location.

Clockwise - A clockwise direction is the direction in which the hands of an analogue clock travel.
Anti-clockwise - An anti-clockwise direction is the opposite direction to which the hands of an analogue clock travel.
Centre of rotation - The centre of rotation is the fixed point about which an object is rotated. It fixes the location of the image after it is rotated.
Degrees - Degrees are the most common unit of measurement for angle. One whole turn is equal to 360 degrees, written 360°.