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

Questions

1. 1. Translate (1, 4) by vector (3, −2). Image?

   • (4, 6)
   • (3, 8)
   • (−2, 6)
   • (4, 2)
   Check

2. 2. A vector with top −5 and bottom 0 means …

   • 5 down
   • 5 right
   • 5 up
   • 5 left
   Check

3. 3. A point moves from (2, 3) to (6, 1). Vector?

   • 8 right, 4 down
   • 2 right, 4 down
   • 4 right, 2 down
   • 4 left, 2 up
   Check

4. 4. Translate (−3, 0) by vector (2, 5).

   • (−1, 5)
   • (−1, −5)
   • (−5, 5)
   • (2, 5)
   Check

5. 5. After translation a shape is …

   • reflected
   • congruent and the same way round
   • enlarged
   • rotated
   Check

6. 6. Vector (0, 4) moves a shape …

   • 4 left
   • 4 right
   • 4 up
   • 4 down
   Check

7. 7. A translation by (3, 1) followed by (−1, 2) is the same as …

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

8. 8. What vector undoes (4, −3)?

   • (4, 3)
   • (−4, −3)
   • (−4, 3)
   • (3, −4)
   Check

9. 9. Translate (5, 5) by (−5, −5).

   • (10, 10)
   • (−5, −5)
   • (0, 0)
   • (5, 5)
   Check

10. 10. Triangle corners (0, 0), (2, 0), (0, 3) translated by (1, 1). New corners?

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

11. 11. Point (a, b) translated by (2, −1)?

    • (a + 2, b − 1)
    • (2a, −b)
    • (a − 2, b + 1)
    • (a + 2, b + 1)
    Check

12. 12. In a column vector, the top number is the movement …

    • horizontally
    • vertically
    • diagonally
    • in degrees
    Check

13. 13. (4, 7) moves to (4, 2). Vector?

    • (0, −5)
    • (4, −5)
    • (−5, 0)
    • (0, 5)
    Check

14. 14. Does translation change area?

    • Yes
    • No
    Check

15. 15. Translate (−2, −2) by (5, 3).

    • (−7, −5)
    • (7, 5)
    • (3, 1)
    • (3, −1)
    Check