Question

A similarity transformation maps ∆ABC to ∆JKL. The measure of ∠A of preimage ∆ABC is 105°. The scale factor of the dilation in the similarity transformation is 1.5. If ∠A in the preimage corresponds to ∠J in the image, what is m∠J?

Answer 1

c

Explanation:

Answer 2

105°

Explanation:

Each similarity transformation is a transformation that maps the figure into a similar figure. Thus, a similarity transformation that maps triangle ABC into triangle JKL gives you two similar triangles

`\triangle ABC\sim \triangle JKL.`

Two similar triangles have proportional corresponding sides lengths and congruent measures of corresponding interior angles.

If ∠A in the preimage triangle ABC corresponds to ∠J in the image triangle JKL, then the measures of these two angles are equal,

`m\angle A=m\angle J=105^(\circ).`