4
lesson pretestMultiple Choice

Pretest

Question 4 • Mathematics II

Which diagram can be used to prove triangle ABC approximates triangle DEC using similarity transformations?

Answer
A
Image with description Triangle A B C is rotated about point C and then is dilated to form smaller triangle C E D.
B
Image with description Triangles A B C and C E D have different angle measures.
C
Image with description Triangle A B C is reflected across side A C and then is dilated to form smaller triangle C E D.
D
Image with description Triangles A B C and C E D have different angle measures.

Explanation

A similarity transformation can include a rotation, reflection, and dilation. Choice C shows triangle ABC rotated about point C and then dilated to form the smaller triangle CED, which preserves angle measures and scales the side lengths proportionally. Choices A and B describe triangles with different angle measures, so they cannot be similar.

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