Question

select each statement that is true about these two triangles. a. the two triangles are similar to each other. b. the two triangles are not similar to each other. c. a sequence of rigid motions can map one triangle to the other. d. a sequence of rigid - motions and dilations can map one triangle to the other.

Explanation:

Step1: Identify side - length ratios

For similar triangles, the ratios of corresponding sides are equal. Let's assume we can find the side - lengths of the two triangles using the distance formula (if needed) or by counting grid units. If the ratios of all corresponding sides are the same, the triangles are similar.

Step2: Consider rigid motions

Rigid motions (translations, rotations, reflections) preserve shape and size. If two triangles are similar, a sequence of rigid motions can map one triangle onto the other.

Answer:

A. The two triangles are similar to each other
C. A sequence of rigid motions can map one triangle to the other