1. Objective: Prove triangle congruence using SSS and SAS.
Warm up
Mark the angles and sides of each triangle to indicate congruent parts. a.

2. b.

3. Two figures are congruent if and only if :
one can be mapped onto the other by one or more rigid transformations.
2. Are the two triangles congruent? Justify your answer.

4. (1) transformation

5. (2) transformation

6. Are the two triangles congruent?

7. Short Cuts to prove triangles are congruent

8. Side-Side-Side (SSS)
Three pairs of congruent sides

9. Side-Angle-Side (SAS)
Two pairs of congruent sides and one pair of congruent angles included between the two congruent sides.

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

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

12. c. d.

13. Example 3

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

15. Congruence Shortcuts?

16. 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)

17. Gizmo: Proving Triangles Congruent
Determine which conditions guarantee congruency of triangles.
AAA, SSS, SS, SAS, SSA, ASA, SAA