Question

how can △abc be mapped to △xyz? first, translate. next, rotate △abc about b to align the sides and angles. vertex a to vertex z vertex b to vertex z vertex b to vertex y vertex a to vertex y

Explanation:

Step1: Analyze corresponding sides and angles

We see that side AB = XY = 25 cm and side AC = XZ = 29 cm and ∠A=∠X = 36°. To map △ABC to △XYZ, we first need to match the corresponding vertices. Vertex A corresponds to vertex X. Since we will rotate about B later, we should first translate vertex A to vertex X's corresponding - vertex in the new position. Looking at the orientation, we need to translate vertex A to vertex Y so that the sides and angles can be further aligned by rotation about B.

Answer:

vertex A to vertex Y