Key Concepts:
- Congruent Triangles Definition – Two triangles are congruent if all their corresponding sides and angles are equal.
- Triangle Congruence Theorems:
- SSS (Side-Side-Side) – All three sides of two triangles match.
- SAS (Side-Angle-Side) – Two corresponding sides and the included angle of two triangles match.
- ASA (Angle-Side-Angle) – Two corresponding angles and the included side of two triangles match.
- AAS (Angle-Angle-Side) – Two corresponding angles and a non-included side of two triangles match.
- RHL (Right Angle-Hypotenuse-Leg) – The hypotenuse and a leg of two right triangles match.
Skills Covered:
- Determining whether two triangles are congruent based on given information.
- Solving for missing sides and angles using triangle congruence theorems.
- Applying congruence properties to geometric proof-style problems.