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

Questions

1. 1. Reflect (3, 1) in the line x = 5.

   • (7, 1)
   • (5, 1)
   • (−3, 1)
   • (3, 9)
   Check

2. 2. Reflect (2, 6) in the line y = 4.

   • (6, 2)
   • (2, 10)
   • (2, 2)
   • (2, −6)
   Check

3. 3. Reflect (5, −2) in the line y = x.

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

4. 4. Reflect (3, 4) in the line y = −x.

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

5. 5. The line x = 3 is …

   • diagonal
   • horizontal
   • the x-axis
   • vertical
   Check

6. 6. The line y = −1 is …

   • vertical
   • horizontal
   • the y-axis
   • diagonal
   Check

7. 7. Reflect (−1, 0) in the y-axis.

   • (1, 0)
   • (0, −1)
   • (0, 1)
   • (−1, 0)
   Check

8. 8. A shape and its reflection are …

   • different shapes
   • similar but bigger
   • congruent
   • always overlapping
   Check

9. 9. Points A(1, 2) and A′(5, 2) are a reflection. Mirror line?

   • x = 2
   • y = 2
   • y = 3
   • x = 3
   Check

10. 10. Points B(4, −1) and B′(4, 5) are a reflection. Mirror line?

    • x = 4
    • y = 3
    • x = 2
    • y = 2
    Check

11. 11. Reflect (0, 7) in the line y = x.

    • (0, −7)
    • (7, 7)
    • (7, 0)
    • (−7, 0)
    Check

12. 12. Which point stays fixed when reflected in y = x?

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

13. 13. Reflect (−3, 2) in the line x = −1.

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

14. 14. Reflection in the x-axis changes (x, y) to …

    • (−x, y)
    • (−x, −y)
    • (x, −y)
    • (y, x)
    Check

15. 15. Is a reflection the same as a 180° rotation?

    • Yes
    • No
    Check