15
QuizMultiple Choice

Triangle Similarity — Test

Question 15 • TPS EdX Geometry

Which composition of transformations will create a pair of similar, not congruent triangles?

Answer
A
a rotation, then a dilation
B
a rotation, then a reflection
C
a reflection, then a translation
D
a translation, then a rotation

Explanation

Translations, rotations, and reflections preserve side lengths, so they produce congruent figures. A dilation changes a figure’s size while preserving its shape, producing a similar figure that is not congruent when the scale factor is not 1. Therefore, a rotation followed by a dilation can create similar, noncongruent triangles.

AI-written and checked against the verified answer.

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