Question

How can ΔABC be mapped to ΔXYZ?

Answer 1

Answer:

Vertex B to vertex Y

Step-by-step explanation:

The diagram shows two triangles ABC and XYZ. These triangles are congruent by SAS postulate, because

• AB = XY = 25 cm;
• AC = XZ = 29 cm;
• ∠A = ∠X = 36°.

Congruent triangles have congruent corresponding sides and angles, so translation and rotation must be completed such that

• vertex A coincides with vertex X;
• vertex B coincides with vertex Y;
• vertex C coincides with vertex Z.

So, first, translate vertex B to vertex Y. Next, rotate ΔABC about B to align the sides and angles.

Answer 2

Answer:

Here is the correct answer

Step-by-step explanation: