Math 7 · Unit 14: Position and transformation · Cambridge Lower Secondary Maths Stage 7

Questions

1. 1. Question 1a: This shape is reflected in the x-axis. What are the vertices of the image?

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

2. 2. Question 1b: This shape is reflected in the x-axis. What are the vertices of the image?

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

3. 3. Question 1c: This shape is reflected in the x-axis. What are the vertices of the image?

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

4. 4. Question 2a: Shape A is reflected in the x-axis. Which statement about the reflection shown is right?

   • It is wrong: the image should be (1, −2), (1, −4), (3, −4)
   • It is correct
   • It is wrong: the image should be (−1, 1), (−1, 3), (−3, 3)
   • It is wrong: the image should be (−1, −1), (−1, −3), (−3, −3)
   Check

5. 5. Question 2b: Shape A is reflected in the x-axis. Is the reflection shown correct?

   • Yes
   • No
   Check

6. 6. Question 2c: Shape A is reflected in the x-axis. Is the reflection shown correct?

   • Yes
   • No
   Check

7. 7. Question 3a: This shape is reflected in the y-axis. What are the vertices of the image?

   • (−4, −1), (−1, −1), (−1, −3), (−4, −3)
   • (4, 1), (1, 1), (1, 3), (4, 3)
   • (5, 1), (2, 1), (2, 3), (5, 3)
   • (4, −1), (1, −1), (1, −3), (4, −3)
   Check

8. 8. Question 3b: This shape is reflected in the y-axis. What are the vertices of the image?

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

9. 9. Question 3c: This shape is reflected in the y-axis. What are the vertices of the image?

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

10. 10. Question 4a: Shape B is reflected in the y-axis. Is the reflection shown correct?

    • Yes
    • No
    Check

11. 11. Question 4b: Shape B is a rectangle from (−3, 1) to (−1, 4). It is reflected in the y-axis. Which image is correct?

    • a rectangle from (1, 1) to (3, 4)
    • a rectangle from (2, 1) to (4, 4)
    • a rectangle from (−3, −1) to (−1, −4)
    • a rectangle from (1, 1) to (3, 3)
    Check

12. 12. Question 4c: Shape B is reflected in the y-axis. Is the reflection shown correct?

    • Yes
    • No
    Check

13. 13. Question 5a: This shape is reflected in the x-axis. What are the vertices of the image?

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

14. 14. Question 5b: This shape is reflected in the x-axis. What are the vertices of the image?

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

15. 15. Question 5c: This shape is reflected in the x-axis. What are the vertices of the image?

    • (2, −2), (3, −4), (2, −5), (1, −4)
    • (−2, 1), (−3, 3), (−2, 4), (−1, 3)
    • (2, −1), (3, −2), (2, −4), (1, −2)
    • (2, −1), (3, −3), (2, −4), (1, −3)
    Check

16. 16. Question 6a: This shape is reflected in the y-axis. What are the vertices of the image?

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

17. 17. Question 6b: This shape is reflected in the y-axis. What are the vertices of the image?

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

18. 18. Question 6c: This shape is reflected in the y-axis. What are the vertices of the image?

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

19. 19. The diagram shows ten trapezia, A to J. A is a reflection of which trapezium, and in which axis?

    • G, in the x-axis
    • G, in the y-axis
    • B, in the x-axis
    • I, in the x-axis
    Check

20. 20. Question 8b: The diagram shows ten trapezia, A to J. D is a reflection of which trapezium, and in which axis?

    • A, in the y-axis
    • I, in the x-axis
    • E, in the y-axis
    • J, in the x-axis
    Check