1. Do Now: Identify two congruent triangles in the figure below. H N A D

2. Proving Triangles are Congruent

3. We know that two triangles are congruent if… All corresponding angles are congruent All corresponding sides are congruent But…

4. There are shortcuts to determine if two triangles are congruent Side-Side-Side (SSS) Side-Angle-Side (SAS) Angle-Side-Angle (ASA) Side-Angle-Angle (SAA)

5. Two triangles are congruent if.. All of their corresponding sides are congruent. SSS (Side-Side-Side) congruence

6. Two triangles are congruent if… Two corresponding sides and the included angle are congruent. SAS (Side-Angle-Side) Congruence

8. Two triangles are congruent if… Two angles and the included side are congruent. ASA (Angle-Side-Angle) Congruence

10. Two triangles are congruent if… Two angles and the non-included side are congruent AAS (Angle-Angle-Side) Congruence