Question

Triangles A B C and X Y Z is congruent. Triangle X Y Z is slightly higher and to the right of triangle A B C. Triangle A B C is reflected across a line to form triangle X Y Z.
Two rigid transformations are used to map ΔABC to ΔXYZ. The first is a translation of vertex A to vertex X. What is the second transformation?

a reflection across the line containing AB
a reflection across the line containing AC
a rotation about point A
a rotation about point B

Answer 1

Rotation about A.

After translating A to X, rotate the triangle about that point (A, now at X) until the image of B lands on Y — then C will land on Z as well. Reflection options won't move A to X then rotate the other vertices into place.