Question

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

Explanation:

Step1: Identify corresponding sides and angles

In \(\triangle ABC\) and \(\triangle XYZ\), side \(AB = XY=25\) cm, side \(AC = XZ = 29\) cm and \(\angle A=\angle X = 36^{\circ}\). To map \(\triangle ABC\) to \(\triangle XYZ\), we first need to match the corresponding vertices.

Step2: Determine the translation

We should translate vertex \(A\) to vertex \(X\) first. But among the given options, the closest - related correct translation for the next step of rotation about a vertex is to translate vertex \(A\) to vertex \(Y\) because after translation, we can then rotate \(\triangle ABC\) about \(B\) to align the sides and angles.

Answer:

vertex A to vertex Y