Triangle ab is congruent to triangle, GHE, describe a sequence of transformations from triangle, ABC to triangle GHE, that proves their congruence
To prove the congruence between triangle ABC and triangle GHE, we can describe a sequence of transformations as follows:
1. Translation: Move triangle GHE to coincide with triangle ABC. This means shifting the entire triangle GHE horizontally or vertically until its vertices align with the corresponding vertices of triangle ABC.
2. Rotation: Rotate triangle GHE by any angle necessary to match the orientation of triangle ABC. This involves turning triangle GHE around a pivot point until it aligns with triangle ABC.
3. Reflection: Reflect triangle GHE over a line, which can be any line passing through one side or vertex of triangle ABC, to superimpose it onto triangle ABC.
After performing these three transformations, triangle ABC and triangle GHE will completely overlap, indicating that they are congruent.