4
AssignmentMultiple Select

Congruence and Transformations

Question 4 • SRC 2022 M/J Grade 8 Pre-Algebra Q1

Which statements are true about dilations? Select all that apply.

Answer
A
Dilations produce images that are similar to the pre-image.
B
Dilations produce images that are always congruent to the pre-image.
C
Dilations produce images that have angles that are congruent to the pre-image.
D
Dilations produce images that have sides that are congruent to the pre-image.
E
Dilations produce images that have sides that are proportional to the pre-image.

Explanation

A dilation preserves angle measures and scales every side length by the same factor. Therefore, the image is similar to the pre-image, its corresponding angles are congruent, and its corresponding sides are proportional. The sides are not necessarily congruent, and the image is not always congruent to the pre-image unless the scale factor is 1.

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