Question

One convenient sequence: rotate triangle ABC 180° about the origin.

Reason: a 180° rotation sends each point (x,y) to (−x,−y), moving points from Quadrant IV into Quadrant II. A 180° rotation is a rigid motion, so it carries △ABC exactly onto △GHE, proving congruence.

(Equivalently: reflect across the y‑axis and then reflect across the x‑axis — two reflections that produce the same result.) make this shorter

Answer 1

Rotate △ABC 180° about the origin: (x,y)→(−x,−y) moves Quadrant IV to II and, as a rigid motion, carries △ABC onto △GHE, so they are congruent. (Equivalently: reflect across the y‑axis then the x‑axis.)