4.3 - Triangle Congruence by ASA and AAS

1. 4.3 - Triangle Congruence by ASA and AAS

2. Postulate 4-3 Angle-Side-Angle (ASA) Postulate If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. UVT  XYW

3. Theorem 4-2 Angle-Angle-Side (AAS) Theorem If two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of another triangle, then the triangles are congruent. APX  BPY

4. Which theorem or postulate, if any, could you use to prove that the two triangles are congruent? If possible, write the congruence statement.

5. Which theorem or postulate, if any, could you use to prove that the two triangles are congruent? If possible, write the congruence statement.

6. Which theorem or postulate, if any, could you use to prove that the two triangles are congruent? If possible, write the congruence statement.

7. Given:A  R , RA  DE Prove: RDE  ADE Statements Reasons

8. Given: CE bisects AD, AE || CD Prove: ABE  DBC Statements Reasons

9. Summary: To prove two triangles are congruent, use SSS, SAS, ASA or AAS. (one more later - there are five ways altogether)

10. Homeworkp. 1971 - 6, 9 - 11, write a proof: 32 and 34