Two triangles are considered to be congruent if they have corresponding sides and angles of equal measure. Previously, you have explored the Side-Side-Side (SSS) and Side-Angle-Side (SAS) Postulates to help you determine if two triangles are congruent. Now you will explore other ways to determine congruence, such as the Angle-Side-Angle (ASA) Postulate and the Angle-Angle-Side (AAS) Theorem.

Essential Questions

• How can you use the ASA Postulate to show that two triangles are congruent?
• How can you use the AAS Theorem to show that two triangles are congruent?

 

Warm-Up

Before you continue your exploration of congruent triangles, take a moment to review your knowledge of congruent line segments and angles in this non-graded interactivity. Click the player button to get started.