Question

question 3
triangle bac was rotated 90° clockwise and dilated at a scale factor of 2 from the origin to create triangle xyz. based on these transformations, which statement is true?
∠c≅∠x
∠c≅∠y
∠a≅∠y
∠a≅∠x

Explanation:

Step1: Recall transformation properties

A rotation and a dilation are rigid - like and similarity transformations. Rotation is a rigid transformation that preserves angle measures and dilation is a similarity transformation that preserves angle - measures. So, corresponding angles of the pre - image (triangle BAC) and the image (triangle XYZ) are congruent.

Step2: Identify corresponding angles

When triangle BAC is transformed to triangle XYZ, ∠A corresponds to ∠X, ∠B corresponds to ∠Y, and ∠C corresponds to ∠Z.

Answer:

∠A≅∠X