1. Objective: discover conditions to prove triangles are congruent. Two figures are congruent if and only if : one can be mapped onto the other by one or more rigid transformations. Warm up 1. Are the two triangles congruent? Justify your answer.

2. (1) transformation

3. (2) transformation

4. Congruent triangles

5. Congruence Shortcuts?

6. Gizmo: Proving Triangles Congruent www.explorelearning.com 2.Determine which conditions guarantee congruency of triangles. AAA, SSS, SS, SAS, SSA, ASA, SAA

7. Congruent triangle conjectures SSS (three sides are congruent) SAS (two sides and the included angle) ASA (two angles and the included side) AAS (two angles and the non-included side)

8. Example 1 Are triangle RQP and triangle VTS congruent? Justify your answer.

9. Example 2 Determine which triangles are congruent. Name the congruence conjecture that justify your answer. a. b.

10. c. d.

11. Example 3

12. Classwork Pg 224 #4-9,12,13,18,19 Pg #229 #4-12,14,15