Triangle Congruence from Transformations

Explanation

Triangles are congruent if you can use rigid transformations to match all sides and angles.

Common methods to prove triangle congruence:

1. SSS (Side-Side-Side) – all three sides equal

2. SAS (Side-Angle-Side) – two sides and the included angle equal

3. ASA (Angle-Side-Angle) – two angles and included side equal

4. AAS (Angle-Angle-Side) – two angles and a non-included side equal

Transformational approach: slide, rotate, or flip a triangle to match another.