1. Homework: Reteaching 4-3 • Quiz TOMORROW • Warm-Up: Congruence puzzle

3. How are the triangles congruent? Vertical Angles Reflexive Property SAS SAS Vertical Angles SAS jc-schools.net/PPT/geometrycongruence.ppt

4. You Try - Complete the proof. Statements Reasons WZ ≅ WX given WY bisects ZX given ZY ≅ YX def. of bisect WY ≅ WY reflexive prop of ≅ WYZ ≅ WYX SSS

5. You Try - Complete the proof. Prove: triangle ABC ≅ triangle FDE Statements Reasons AF≅CD, AB≅EF, BC≅ED given FC ≅ FC reflexive AB + FC ≅ CD + FC addition prop. of = AC ≅ DF substitution ABC ≅ FDE sss

6. Arrows?? What do the arrows mean? What can we determine from that?

7. Review • SSS Postulate: If each side of one triangle is congruent to the corresponding side of another triangle, then the triangles are congruent

8. Review • SAS Postulate: If two sides and the angle between them in one triangle are congruent to the corresponding parts in another triangle, then the triangles are congruent

9. ASA Postulate(Angle-Side-Angle) • If two angles and the included side (the side between them) of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

10. AAS Theorem(Angle-Angle-Side) • If two angles and a non-included side (a side not between them) in one triangle are congruent to two angles and the corresponding non-included side in another triangle, then the triangles are congruent

11. Minding Your A's and S's NO! YES! SSS SAS ASA SSA AAS AAA

12. Given: Prove: Statements Reasons 1. 2. 3. △APX ≅ △BPY

13. Given: Prove: Statements Reasons 1. 2. 3. 4.

14. Example 3 • What additional information would you need to prove the triangles congruent by SAS Postulate?

15. By which method (if any) could each pair of triangles be proven congruent?

16. By which method (if any) could each pair of triangles be proven congruent?

17. By which method (if any) could each pair of triangles be proven congruent?

18. Name the additional equal corresponding part(s) needed to prove the triangles are congruent by the indicated postulate or theorem.

19. Name the additional equal corresponding part(s) needed to prove the triangles are congruent by the indicated postulate or theorem.

20. Name the additional equal corresponding part(s) needed to prove the triangles are congruent by the indicated postulate or theorem.

21. Name the additional equal corresponding part(s) needed to prove the triangles are congruent by the indicated postulate or theorem.

22. CW: Practice 4-3