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Geometry

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.

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Geometry

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  1. Geometry Notes Section 4-5

  2. 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

  3. Vocabulary • Included side

  4. The two shortcuts we know. . . • SSS • SAS • There are a few more. . .

  5. 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.

  6. 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.

  7. Example #2: Write a two-column proof. • Given: PS is the angle bisector of QPR • Prove: ΔPQS ΔPRS

  8. 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

  9. Example #3: Find the missing congruent parts so that the triangles can be proved congruent. Justify your decision. Then write the triangle congruence.

  10. Example 4: • Write a two-column proof. .

  11. 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)

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