1. 2.11 – SSS, SAS, SSA

2. If you were given three side lengths of a triangle, can you create two different triangles? _________ no

3. congruent congruent Side-Side-Side (SSS) Congruence Postulate
Side-Side-Side (SSS) Congruence Postulate
If 3 sides of one triangle are _____________ to three sides of a second triangle, then the two triangles are ________________.
congruent
congruent

4. Angle formed where two sides meet
Included Angle:
Angle formed where two sides meet

5. Use the diagram to name the included angle between the given pair of sides.

6. 1. Use the diagram to name the included angle between the given pair of sides.

7. 1. Use the diagram to name the included angle between the given pair of sides.

8. If you were given two side lengths and the included angle measure, can you create two different triangles? ___________ no

9. SAS Congruence
included
If two sides and the _____________ angle of one triangle are __________ to two sides and the included angle of a second triangle, then the two triangles are ____________
congruent
congruent

10. There is no ASS in geometry!

11. If you were given two side lengths and the angle not included, can you create two different triangles? _______
yes

12. Ex 1: Decide whether the triangles are congruent
Ex 1: Decide whether the triangles are congruent. Explain your reasoning.
a. ____________________

13. b. ____________________

14. c. ____________________

15. Δ______ ≅ Δ_______ by ____________
Ex 2: Mark the picture using vertical angles or reflexive property. Then complete the congruence statement or state that there is not enough information.
Δ______ ≅ Δ_______
by ____________

16. Δ______ ≅ Δ_______ by ____________
Mark the picture using vertical angles or reflexive property. Then complete the congruence statement or state that there is not enough information.
Δ______ ≅ Δ_______
by ____________

17. Δ______ ≅ Δ_______ by ____________
Mark the picture using vertical angles or reflexive property. Then complete the congruence statement or state that there is not enough information.
Δ______ ≅ Δ_______
by ____________

18. Ex 3: Mark the picture with the given information and add marks for vertical angles or reflexive property, if needed. Then complete the congruence statement or state that there is not enough information.

19. a.

20. b.

21. c.

22. d.

23. e.