Question

Triangle ABC was rotated 90 degrees clockwise. Then it underwent a dilation centered at the origin with a scale factor of 4. Triangle A'B'C is the resulting image. what parts of A'B'C are congruent to the corresponding parts of the orginal triangle

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Answer 1

The image will be the same shape by all the sides will be 4 times larger than the original triangle but all 3 angles will be the same as the original.

Answer 2

Answer: The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.

Explanation:

Given : Triangle ABC was rotated 90 degrees clockwise. Then it underwent a dilation centered at the origin with a scale factor of 4.

A rotation is a rigid transformation that creates congruent images but dilation is not a rigid transformation, it creates similar images but not congruent.

Also, the corresponding angles of similar triangles are congruent.

Therefore, The angles of ΔA'B'C are congruent to the corresponding parts of the original triangle.