10
AssignmentMultiple Choice

Congruence and Transformations

Question 10 • SRC 2022 M/J Grade 8 Pre-Algebra Q1

In rectangle ABCD, AB = 10 cm and BC = 14 cm. If rectangle EFGH is the image after a dilation, which could be its side lengths?

Answer
A
EF = 6 cm and FG = 10 cm
B
EF = 7 cm and FG = 3 cm
C
EF = 15 cm and FG = 20 cm
D
EF = 25 cm and FG = 35 cm

Explanation

A dilation keeps the rectangle’s side-length ratio the same. The original sides have ratio 10:14, which simplifies to 5:7. Choice D has side lengths 25:35, also a 5:7 ratio, so it could be the image after a dilation.

AI-written and checked against the verified answer.

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