Math 4 · Unit 18: Position, direction and movement · Cambridge Primary Maths Stage 4

Questions

1. 1. In the worked example, B (6, 5), C (5, 7) and D (7, 7) are reflected in the mirror line y = 4. Where are their reflections?

   • B (6, 3), C (5, 10), D (7, 10)
   • B (6, 3), C (5, 1), D (7, 1)
   • B (6, 4), C (5, 4), D (7, 4)
   • B (6, 5), C (5, 7), D (7, 7)
   Check

2. 2. These four shapes are reflected in the mirror line. Which picture shows all four shapes with their reflections?

   Check

3. 3. A triangle (7, 6), (9, 8), (11, 6) is reflected in the vertical mirror line x = 6. Where are the reflected vertices?

   • (5, 6), (3, 8), (1, 6)
   • (1, 6), (3, 8), (5, 8)
   • (5, 6), (3, 6), (1, 8)
   • (7, 6), (9, 4), (11, 6)
   Check

4. 4. What are the coordinates of the vertices of the triangle?

   • (4, 1), (6, 3), (4, 5)
   • (1, 4), (3, 6), (5, 4)
   • (1, 4), (3, 5), (5, 4)
   • (1, 4), (3, 4), (5, 6)
   Check

5. 5. The triangle is reflected in the mirror line. Which picture shows the triangle and its reflection?

   Check

6. 6. The triangle is reflected in the mirror line. What are the coordinates of the reflected triangle?

   • (1, 2), (3, 0), (5, 2)
   • (1, 4), (3, 2), (5, 4)
   • (1, 4), (3, 6), (5, 4)
   • (4, 1), (6, 3), (4, 5)
   Check

7. 7. What shape is made by the triangle and its reflection in the mirror line together?

   • a hexagon
   • a rectangle that is not a square
   • a square
   • a larger triangle
   Check

8. 8. A trapezium (4, 0), (5, 4), (8, 4), (9, 0) is reflected in the mirror line y = 6. Where do (5, 4) and (8, 4) go?

   • (5, 8) and (8, 8)
   • (7, 4) and (4, 4)
   • (5, 10) and (8, 10)
   • (5, 2) and (8, 2)
   Check

9. 9. These three shapes are reflected in the vertical mirror line. Which picture shows all three shapes with their reflections?

   Check

10. 10. List the coordinates of the square on the grid.

    • (3, 2), (3, 5), (6, 5), (6, 2)
    • (2, 3), (5, 3), (5, 6), (2, 6)
    • (2, 3), (5, 3), (5, 5), (2, 5)
    • (2, 0), (5, 0), (5, 3), (2, 3)
    Check

11. 11. What shape will be made by combining the square with its reflection in the mirror line?

    • a bigger square
    • a hexagon
    • a rectangle 3 squares wide and 6 squares tall
    • an octagon
    Check

12. 12. The square is reflected in the mirror line. Which picture shows the square and its reflection, making the shape from (b)?

    Check

13. 13. Which rectangle, drawn with one side on the mirror line y = 3, will make a square when combined with its reflection?

    • a rectangle 4 squares wide and 2 squares tall
    • a rectangle 6 squares wide and 1 square tall
    • a rectangle 2 squares wide and 4 squares tall
    • a square 2 by 2
    Check

14. 14. A rectangle has corners (1, 7), (3, 7), (3, 11.5) and (1, 11.5). It is reflected in the mirror line y = 6. Where is the reflected rectangle?

    • from (1, 0.5) to (3, 5)
    • from (1, 7) to (3, 11.5)
    • from (1, 0) to (3, 5)
    • from (1, 0.5) to (3, 4)
    Check

15. 15. These three shapes are reflected in the vertical mirror line. Which picture shows all three shapes with their reflections?

    Check

16. 16. What shape is made by combining this pentagon with its reflection in the mirror line?

    • a pentagon
    • an octagon
    • a hexagon
    • a decagon
    Check

17. 17. List the coordinates of the vertices of the pentagon (1, 5), (4, 6), (6, 5), (5, 4), (3, 4) reflected in y = 4.

    • (1, 5), (4, 6), (6, 5), (5, 4), (3, 4)
    • (1, 3), (4, 2), (6, 3), (5, 4), (3, 4)
    • (3, 1), (2, 4), (3, 6), (4, 5), (4, 3)
    • (1, 3), (4, 2), (6, 3), (5, 2), (3, 2)
    Check

18. 18. The pentagon is reflected in the mirror line. Which picture shows the pentagon and its reflection?

    Check

19. 19. Which pentagon, with one side on the mirror line y = 3, makes a hexagon when combined with its reflection?

    • (1, 4), (3, 6), (5, 4), (4, 3), (2, 3)
    • (1, 3), (2, 4), (3, 6), (4, 4), (5, 3)
    • (1, 3), (1, 4), (3, 6), (5, 4), (5, 3)
    • (1, 3), (2, 5), (4, 6), (6, 4), (5, 3)
    Check