Question

Triangles A B C and X Y Z are shown. Angles B A C and Y X Z are congruent. The lengths of A B and Y X are both 28 centimeters and the lengths of A C and X Z are both 32 centimeters. Point A of triangle A B C pointing to the left. Point X of triangle X Y Z is pointing down.
How can ΔABC be mapped to ΔXYZ?

First, translate vertex A to vertex
.

Next,
ΔABC to align the sides and angles

Answer 1

First, translate vertex A to vertex X.

Next, rotate ΔABC 90° counterclockwise about X to align the sides and angles (so B → Y and C → Z).