Similar Figures

40 MCQs

MCQs

40 questions · 35 min · 40 marks

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Sample questions

The first 5 of 40. Try each one, then tap to see the answer.

  1. Question 1

    The ratio of the areas of two similar figures is equal to:

    • Athe ratio of their corresponding lengths
    • Bthe cube of that ratio
    • Cthe square of the ratio of their corresponding lengths
    • Dthe sum of their lengths
    Show answer

    Answer: C

    A₁/A₂ = (l₁/l₂)².

  2. Question 2

    The ratio of the areas of two similar polygons is:

    • Aequal to the ratio of their perimeters
    • Bequal to the square of the ratio of their corresponding sides
    • Cequal to the cube of the ratio of their corresponding sides
    • Dequal to the sum of their corresponding sides
    Show answer

    Answer: B

    Areas are in the square of the ratio of corresponding sides.

  3. Question 3

    The ratio of the volumes of two similar solids is equal to:

    • Athe ratio of their lengths
    • Bthe square of that ratio
    • Cthe sum of the lengths
    • Dthe cube of the ratio of their corresponding lengths
    Show answer

    Answer: D

    V₁/V₂ = (l₁/l₂)³.

  4. Question 4

    The ratio of the masses of two similar solids of the same material equals:

    • Athe ratio of their volumes
    • Bthe ratio of their areas
    • Cthe ratio of their lengths
    • D1
    Show answer

    Answer: A

    Mass is proportional to volume.

  5. Question 5

    If the scale factor of two similar figures is k then the ratio of their areas is:

    • Ak
    • B2k
    • Ck²
    • Dk³
    Show answer

    Answer: C

    Areas change by the square of the scale factor.

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