Question

select the correct answer.
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?
a. 70°
b. 140°
c. 105°
d. 35°

Explanation:

Step1: Recall the property of similar triangles

Similar triangles have congruent corresponding angles.

Step2: Identify the corresponding angles

Since \(\triangle ABC\sim\triangle JKL\), \(\angle A\) corresponds to \(\angle J\).

Step3: Determine the measure of \(\angle J\)

Given \(m\angle A = 105^{\circ}\), and because \(\angle A\cong\angle J\) (similar - triangle property), \(m\angle J=105^{\circ}\)

Answer:

C. \(105^{\circ}\)