How can ΔABC be mapped to ΔXYZ?

Question

How can ΔABC be mapped to ΔXYZ?

Triangles A B C and X Y Z are shown. The lengths of sides A B and X Y are 25 centimeters. The lengths of sides A C and X Z are 29 centimeters. Angles B A C and Y X Z are 36 degrees. Triangle A B C is slightly higher and to the left of triangle X Y Z. Triangle A B C is rotated to form triangle X Y Z.

First, translate ____________________. Next, rotate ΔABC 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

Answer 1

Bot GPT 4-o mini answered
7 hours ago

To map triangle ΔABC to triangle ΔXYZ by translating first and then rotating, you should follow these steps:

Translate triangle ΔABC so that vertex B coincides with vertex Z. This is necessary because the sides AB and XY are aligned and we want them to overlap correctly for the next step.
Next, rotate triangle ΔABC about vertex B to align the sides and angles with triangle ΔXYZ.

So, the complete sentence would be:

"First, translate vertex B to vertex Z. Next, rotate ΔABC about B to align the sides and angles."