Math 8 · Unit 14: Position and transformation · Cambridge Lower Secondary Maths Stage 8

Questions

1. 1. Rotate (2, 5) 180° about the origin.

   • (2, −5)
   • (−2, −5)
   • (5, 2)
   • (−5, 2)
   Check

2. 2. Rotate (3, 1) 90° clockwise about the origin.

   • (−3, −1)
   • (−1, 3)
   • (1, −3)
   • (1, 3)
   Check

3. 3. Rotate (3, 1) 90° anticlockwise about the origin.

   • (−1, 3)
   • (−3, −1)
   • (1, −3)
   • (3, −1)
   Check

4. 4. Which three facts describe a rotation?

   • centre, angle and direction
   • scale factor and centre
   • mirror line
   • vector only
   Check

5. 5. 90° clockwise is the same as …

   • 360°
   • 270° anticlockwise
   • 180°
   • 90° anticlockwise
   Check

6. 6. Rotate (0, 4) 90° anticlockwise about the origin.

   • (0, −4)
   • (4, 0)
   • (−4, 4)
   • (−4, 0)
   Check

7. 7. Rotate (4, 3) 180° about (2, 2).

   • (0, 1)
   • (−4, −3)
   • (−2, −1)
   • (2, 2)
   Check

8. 8. After a rotation, the shape is …

   • congruent
   • reflected
   • bigger
   • distorted
   Check

9. 9. A point on the centre of rotation …

   • doesn't move
   • moves to the origin
   • moves furthest
   • reflects
   Check

10. 10. Rotate (−2, −1) 90° clockwise about the origin.

    • (2, 1)
    • (1, −2)
    • (1, 2)
    • (−1, 2)
    Check

11. 11. A shape is rotated 90° then another 90° in the same direction. Total?

    • 90°
    • 0°
    • 180°
    • 360°
    Check

12. 12. Rotation 180° clockwise vs anticlockwise …

    • give opposite images
    • cancel out
    • are impossible
    • give the same image
    Check

13. 13. Rotate (5, 0) 90° clockwise about the origin.

    • (0, −5)
    • (0, 5)
    • (5, 5)
    • (−5, 0)
    Check

14. 14. What tool helps find a centre of rotation?

    • a ruler only
    • a protractor only
    • tracing paper
    • a calculator
    Check

15. 15. Rotation of 360° about any centre gives …

    • a translation
    • the original shape in the same place
    • nothing
    • a reflection
    Check