ABC is congruent to GHE. Describe a sequence of transformation from ABC to GHE that proves their congruence

Answer 1

To prove that ABC is congruent to GHE, we can follow the sequence of transformations below:

1. Translation: Move triangle GHE so that point G coincides with point A, preserving the shape and size of the triangle.

2. Rotation: Rotate triangle GHE around point G until G and H align with A and B, respectively. This rotates the triangle in a counterclockwise direction.

3. Reflection: Reflect triangle GHE across the line formed by points G and H. This flips the triangle over, but maintains its size and shape.

By performing these three transformations, we have transformed triangle ABC into triangle GHE while preserving their congruence.