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

Questions

1. 1. How has shape A been turned about C to get to shape B?

   • 90° anticlockwise
   • 180°
   • 45° clockwise
   • 90° clockwise
   Check

2. 2. How has shape A been turned about C to get to shape B?

   • 180°
   • 90° anticlockwise
   • 45° clockwise
   • 90° clockwise
   Check

3. 3. How has shape A been turned about C to get to shape B?

   • 90° clockwise
   • 45° anticlockwise
   • 90° anticlockwise
   • 180°
   Check

4. 4. How has shape A been turned about C to get to shape B?

   • 90° anticlockwise
   • 180°
   • 90° clockwise
   • 360°
   Check

5. 5. How has shape A been turned about C to get to shape B?

   • 90° anticlockwise
   • 180°
   • 45° clockwise
   • 90° clockwise
   Check

6. 6. How has shape A been turned about C to get to shape B?

   • 90° anticlockwise
   • 90° clockwise
   • 270° anticlockwise
   • 180°
   Check

7. 7. How has shape A been turned about C to get to shape B?

   • 180°
   • 45°
   • 90° anticlockwise
   • 90° clockwise
   Check

8. 8. How has shape A been turned about C to get to shape B?

   • 90° anticlockwise
   • 180°
   • 90° clockwise
   • 270°
   Check

9. 9. Rotate the shape using the information given. What are the vertices of the image? 90° anticlockwise, centre (2, 4).

   • (5, 3), (5, 4), (4, 4), (3, 3)
   • (3, 5), (3, 4), (2, 4), (1, 5)
   • (−1, 5), (−1, 4), (0, 4), (1, 5)
   • (3, 7), (2, 7), (2, 6), (3, 5)
   Check

10. 10. Rotate the shape using the information given. What are the vertices of the image? 180°, centre (2, 3).

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

11. 11. Rotate the shape using the information given. What are the vertices of the image? 90° clockwise, centre (2, 2).

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

12. 12. Rotate the shape using the information given. What are the vertices of the image? 180°, centre (3, 3).

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

13. 13. A pattern is made by rotating this shape 90° anticlockwise about C, then rotating each new image 90° anticlockwise about C, until there are 4 copies in all. What is the order of rotational symmetry of the completed pattern?

    • 1
    • 3
    • 4
    • 2
    Check

14. 14. A pattern is made by rotating this shape 90° anticlockwise about C, then rotating each new image 90° anticlockwise about C, until there are 4 copies in all. How many lines of symmetry does the completed pattern have?

    • 4
    • 2
    • 8
    • 1
    Check

15. 15. Zara draws rectangle A from (1, 1) to (4, 3). Each square is 1 cm. What is the perimeter of rectangle A?

    • 5 cm
    • 6 cm
    • 12 cm
    • 10 cm
    Check

16. 16. Zara rotates rectangle A 180° about the centre (4, 2) to get rectangle B. She joins A to B to give a combined shape. Zara says: "The perimeter of my combined shape is twice the perimeter of rectangle A." Is Zara correct?

    • Yes
    • No
    Check

17. 17. Rectangle A, from (1, 1) to (4, 3), is rotated 90° clockwise about the centre (4, 1). The object and image together make one shape. What is the perimeter of this shape?

    • 16 cm
    • 20 cm
    • 10 cm
    • 12 cm
    Check

18. 18. Rectangle A, from (1, 1) to (4, 3), is rotated 180° about the centre (4, 3). The object and image together make one shape. What is the perimeter of this shape?

    • 16 cm
    • 18 cm
    • 10 cm
    • 20 cm
    Check

19. 19. Rectangle P, from (1, 1) to (5, 4), is rotated 180° about the centre (4, 3) to give rectangle Q. What are the corners of Q?

    • (3, 1), (7, 1), (7, 4), (3, 4)
    • (1, 2), (5, 2), (5, 5), (1, 5)
    • (5, 1), (9, 1), (9, 4), (5, 4)
    • (3, 2), (7, 2), (7, 5), (3, 5)
    Check

20. 20. Rectangle P, from (1, 1) to (5, 4), is rotated 180° about (4, 3) to give Q. The two rectangles overlap by four squares. Sofia says: "The area of my combined shape is twice the area of rectangle P take away 8 cm²." Is Sofia correct?

    • Yes
    • No
    Check