Lesson G19

G19 apply the concepts of congruence and similarity, including the relationships between... Quiz: Pearson Edexcel Maths, Unit 4

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson G19, apply the concepts of congruence and similarity, including the relationships between...: 20 multiple choice questions for the Pearson Edexcel GCSE Maths (1MA1), Unit 4: Geometry and measures, written with Revision Ninja.

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The 20 questions

  1. What is true about the corresponding angles in two similar shapes?

    • They are different
    • They are scaled
    • They add to 180
    • They are equal

  2. What defines two fully congruent geometric shapes?

    • Same size and shape
    • Same area only
    • Different scale factor
    • Same perimeter only

  3. When a shape is enlarged by scale factor 3, what happens to each length?

    • Multiplied by 3
    • Added to 3
    • Divided by 3
    • Multiplied by 9

  4. A rectangle measuring 4 cm by 7 cm is enlarged by scale factor 3. What are the new dimensions?

    • 12 cm by 10 cm
    • 7 cm by 12 cm
    • 12 cm by 21 cm
    • 12 cm by 28 cm

  5. Triangle sides of 5 cm, 6 cm and 8 cm are enlarged by scale factor 1.5. What is the new longest side?

    • 13.5 cm
    • 9 cm
    • 7.5 cm
    • 12 cm

  6. Two similar shapes have matching sides of 4 cm and 10 cm. A side of 6 cm on the smaller shape corresponds to what length on the larger?

    • 9.6 cm
    • 24 cm
    • 2.4 cm
    • 15 cm

  7. A shape has an area of 12 cm². It is enlarged by a scale factor of 3. What is the new area?

    • 108 cm²
    • 36 cm²
    • 24 cm²
    • 4 cm²

  8. A cube of side 2 cm is enlarged by scale factor 3. What is the new volume?

    • 54 cm³
    • 216 cm³
    • 72 cm³
    • 24 cm³

  9. When lengths in similar shapes are scaled by factor k, how do areas change?

    • Multiplied by k cubed
    • Multiplied by k squared
    • Multiplied by k
    • Added to k squared

  10. When lengths in similar solids are scaled by factor k, how do volumes change?

    • Multiplied by k cubed
    • Added to k cubed
    • Multiplied by k squared
    • Multiplied by k

  11. Two similar cylinders have heights 6 cm and 9 cm. The smaller has volume 80 cm³. What is the volume of the larger?

    • 120 cm³
    • 180 cm³
    • 135 cm³
    • 270 cm³

  12. Two similar solids have surface areas in the ratio 4 : 9. What is the ratio of their corresponding lengths?

    • 4 : 9
    • 2 : 3
    • 16 : 81
    • 9 : 4

  13. A photo 10 cm wide is enlarged to 25 cm wide. What is the linear scale factor?

    • 2.5
    • 0.4
    • 1.5
    • 15

  14. Which condition does NOT prove that two triangles are congruent?

    • SSS
    • RHS
    • SAS
    • AAA

  15. Triangle ABC has sides 6 cm, 8 cm and 10 cm. Triangle DEF has matching sides 9 cm, 12 cm and 15 cm. What is the scale factor from ABC to DEF?

    • 0.67
    • 1.5
    • 2
    • 3

  16. Two similar prisms have volumes 27 cm³ and 64 cm³. What is the ratio of the smaller prism's length to the larger prism's length?

    • 27 : 64
    • 4 : 3
    • 3 : 4
    • 9 : 16

  17. A rectangle is 2 m by 3 m. A similar rectangle has length 9 m. What is its area?

    • 18 m²
    • 54 m²
    • 6 m²
    • 27 m²

  18. A pentagon with perimeter 20 cm is enlarged so that every side is 1.5 times as long. What is the new perimeter?

    • 30 cm
    • 28 cm
    • 21.5 cm
    • 37.5 cm

  19. Two similar shapes have areas 36 cm² and 100 cm². What is the ratio of the smaller shape's length to the larger shape's length?

    • 9 : 25
    • 3 : 5
    • 5 : 3
    • 6 : 8

  20. A scale model is made at 1 : 40. A real car is 4.8 m long. How long is the model?

    • 120 cm
    • 12 cm
    • 1.2 cm
    • 19.2 cm

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