Congruent Triangles

Identifying congruent triangles and proving why they are congruent. Explaining that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent. Understanding and applying ASA, SAS, and SSS criteria for triangle congruence to find missing angles. Solving real-world problems based on congruent triangles.

Mapped to CCSS Section# HSG.CO.B.7, HSG.CO.B.8

Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent. Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.