AABC is congruent to AGHE. Describe a sequence of transformations from A ABC to AGHE that proves their congruence.

Question

AABC is congruent to AGHE. Describe a sequence of transformations from A ABC to AGHE that proves their congruence.

(2 points)

Answer 1

One possible sequence of transformations is as follows:

1. Translation: Move point C to point G, and point B to point H. This results in the overlapping of the two triangles ABC and AGHE.
2. Reflection: Reflect triangle ABC over the line through points A and G. This results in the triangle ABC overlapping with the triangle AGHE.
3. Rotation: Rotate triangle ABC clockwise around point A by the same angle that will align side AB with side AG. This results in the triangle ABC overlapping with the triangle AGHE in the final position.