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Geometry Notes Section 4-5 What you’ll learn. . . . How to use the ASA Postulate to test for triangle congruence How to use the AAS Theorem to test for triangle congruence Vocabulary Included side The two shortcuts we know. . . SSS SAS There are a few more. . . ASA Postulate-If two angles and the included side of one triangle are congruent to the two angles and the included side of another triangle, then the triangles are congruent. Example #1: Find the missing congruent parts so that the triangles can be proved congruent by the ASA Postulate. Then write the triangle congruence. a. b. c. d. Example #2: Write a two-column proof. Given: PS is the angle bisector of QPR Prove: ΔPQS ΔPRS Might there be more???? Today is your lucky day. . . Do you think that if two angles and a nonincluded side of one triangle are congruent to the corresponding two angles and nonincluded side of a second triangle, the two triangles would be congruent?? Yes . . .this is called AAS Example #3: Find the missing congruent parts so that the triangles can be proved congruent. Justify your decision. Then write the triangle congruence. Example 4: . Write a two-column proof. Have you learned. . . . How to use the ASA Postulate to test for triangle congruence How to use the AAS Postulate to test for triangle congruence Assignment: Non-Proof: Worksheet 4-4,4-5 Proof:p.211 (10-18 even, 21-28)