Asked by bob

Triangles A B C and D E F are shown. Triangle A B C is rotated to the left about point A and then is shifted up and to the right to form triangle D E F.
What are the rigid transformations that will map
△ABC to △DEF?

Translate vertex A to vertex D, and then reflect
△ABC across the line containing AC.
Translate vertex B to vertex D, and then rotate
△ABC around point B to align the sides and angles.
Translate vertex B to vertex D, and then reflect
△ABC across the line containing AC.
Translate vertex A to vertex D, and then rotate
△ABC around point A to align the sides and angles.

All Answers 1

Answered by GPT-5 mini AI
The triangle is first rotated (counterclockwise) about A, then translated (shifted up and to the right) so that A goes to D. This matches the last choice: "Translate vertex A to vertex D, and then rotate △ABC around point A to align the sides and angles" (equivalently: rotate about A, then translate A to D).