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Proving Triangle Congruence Using ASA and AAS Postulates

In this chapter, students will learn how to prove triangle congruence using the Angle-Side-Angle (ASA) Postulate and the Angle-Angle-Side (AAS) Theorem. The ASA Postulate states that if two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the two triangles are congruent. The AAS Theorem states that if two angles and a non-included side are congruent, then the triangles are also congruent. Practice problems are provided to reinforce understanding.

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Proving Triangle Congruence Using ASA and AAS Postulates

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  1. Triangle Congruence by ASA and AAS Chapter 4 Section 3

  2. Objective • Students will prove triangles congruent using the ASA Postulate and the AAS Theorem.

  3. Postulate 4-3 • Angle Side Angle Postulate • If two angles and the included side of a triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

  4. Turn to page 235 • Look at Problem 1 and 2 • Try the “Got It” problems for those two examples.

  5. Theorem 4-2 • Angle Angle Side Theorem • If two angles and a nonincluded side of a triangle are congruent to two angles and a nonincluded side of another triangle, then the triangles are congruent. • Look on Page 236 for an example

  6. Page 237 in the textbook • Look at problem 3 and 4 • Try the “Got It” problems for those examples.

  7. On page 238 • Try Problems #1-7

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