G7 identify, describe and construct congruent and similar shapes, including on coordinate... Quiz: Pearson Edexcel Maths, Unit 4

The 20 questions

1. Enlargement with scale factor 2 centred at the origin maps (1, 3) to:

   • (0.5, 1.5)
   • (3, 5)
   • (2, 6)
   • (−2, −6)

2. A negative scale factor enlargement is mathematically equivalent to an enlargement combined with what transformation?

   • 180 degree rotation
   • Reflection in x-axis
   • Translation by vector
   • 90 degree rotation

3. Which transformations relate congruent shapes to one another?

   • Stretches
   • Isometries
   • Projections
   • Enlargements

4. Similar shapes differ from congruent shapes by having what feature?

   • Flipped orientation
   • Curved edges
   • Scale factor
   • Different angles

5. An enlargement with scale factor 0.5 makes a shape:

   • smaller
   • reflected
   • larger
   • unchanged

6. Which transformation preserves both size and shape without rotation or reflection?

   • Stretch
   • Shear
   • Translation
   • Enlargement

7. Under an enlargement, image lengths compared with object lengths are multiplied by what?

   • Centre of enlargement
   • Scale factor
   • Area scale factor
   • Scale factor squared

8. Reflection in the y-axis changes the point (x, y) to:

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

9. An enlargement with scale factor 3 centred at (1, 1) maps (2, 3) to:

   • (7, 4)
   • (4, 7)
   • (6, 9)
   • (3, 5)

10. Triangle vertices (0, 0), (2, 0) and (0, 4) are enlarged by scale factor 2 about the origin. What is the image of (0, 4)?

    • (8, 0)
    • (0, 2)
    • (0, 8)
    • (4, 0)

11. A 3 cm by 5 cm rectangle is enlarged by scale factor 4. What is its new perimeter?

    • 16 cm
    • 64 cm
    • 32 cm
    • 80 cm

12. Rotating the point (3, 1) by 90° anticlockwise about the origin gives:

    • (3, −1)
    • (1, −3)
    • (−3, 1)
    • (−1, 3)

13. A translation by vector (4, −2) maps (1, 1) to:

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

14. A triangle has a side of 20 cm. An enlargement with scale factor 0.25 is applied. What is the image side?

    • 5 cm
    • 20 cm
    • 0.8 cm
    • 80 cm

15. A negative scale factor of −2 about the origin maps (3, −1) to:

    • (−6, −2)
    • (6, −2)
    • (6, 2)
    • (−6, 2)

16. Rectangle reflected in the line x = 5 maps the point (4, 2) to:

    • (1, 2)
    • (−4, 2)
    • (6, −2)
    • (6, 2)

17. An enlargement with scale factor −1/2 about the origin maps a shape of area 36 cm² to an image with area:

    • 9 cm²
    • 72 cm²
    • 18 cm²
    • 4.5 cm²

18. A shape of side 5 cm maps to an image of side 15 cm. What is the scale factor?

    • 5
    • 10
    • 75
    • 3

19. Which transformation reverses orientation while keeping size and shape?

    • a translation
    • an enlargement
    • a reflection
    • a rotation

20. A reflection in the x-axis is followed by a translation (2, 0). Where does (1, 1) map to?

    • (3, −1)
    • (3, 1)
    • (1, −1)
    • (−1, 1)

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