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1. SSS TRIANGLE CONRGUENCE POSTULATE

2. Objectives Determine the minimum requirements needed for congruent triangles; Illustrates the SSS congruence; Appreciate the importance of triangle congruence postulate in a real-life situation.

3. ACTIVITY 1 “ SIde Up”

4. DIRECTION: 1: Draw a large scalene triangle on your paper

5. 2: Copy the three sides separately onto another paper and mark with a dot each endpoint. Cut the paper into three strips with one side on each strip.

6. 3. Arrange the three segments into a triangle by placing one endpoint on top of the another.

7. 4: With a third paper, trace the triangle formed. Compare the new triangle with the original triangle.

8. What happened when we copied and cut out the three sides of the triangle?

9. Why do you think the new triangle matched the original one?

10. Sss congruence postulate If three sides of one triangle are congruent to the corresponding three sides of another triangle, then the triangles are congruent.

11. If 𝐴𝐵̅̅̅̅ ≅ 𝐷𝐸̅̅̅̅, ̅𝐵𝐶̅̅̅ ≅ 𝐸𝐹̅̅̅̅, 𝐶𝐴̅̅̅̅ ≅ 𝐹𝐷̅̅̅̅, then ∆ABC ≅ ∆DEF by SSS Congruence Postulate

12. ∆ABC ≅ ∆DEF S (side) 𝐴𝐵̅̅̅̅ ≅ 𝐷𝐸̅̅̅̅ S (side) 𝐵𝐶̅̅̅ ≅ 𝐸𝐹̅̅̅̅ S (side) 𝐶𝐴̅̅̅̅ ≅ 𝐹𝐷̅̅̅̅

13. EXAMPLE #1: ,  

14. ∆ABC≅∆QRS by SSS Postulate, where; S (side) S (side) S (side) S (side) S (side) S (side)

15. EXAMPLE #2. ,  

16. ∆LIF≅∆LEF by SSS Postulate, where; S (side) S (side) S (side) S (side) S (side) S (side) NOTE: by R eflexive property congruence  

17. EXAMPLE #3:  

18. ∆KHJ

19. S (side) . S (side) S (side)   Where;

20. “BRAIN SPRINT”

21. • A postulate that proves two triangles are congruent when all three sides of one triangle are equal to all three sides of another triangle.

22. SSS CONGRUENCE POSTULATE

23. • If three sides of one triangle are equal to three sides of another triangle, then the two triangles are ____.

24. CONGRUENT

25. • How many sides are used to prove triangle congruence in the SSS Postulate?

26. THREE SIDES

27. SIDE-SIDE-SIDE

28. THREE SIDES

29. • What property states that any segment is always congruent to itself, which is useful in proving triangles congruent using the SSS Postulate?

30. REFLEXIVE PROPERTY CONGRUENCE

31. Quiz #3 Directions: Use the pairs of triangles to complete the statements below. Name the following: