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Triangle Congruency

Triangle Congruency. MM1G3 c. Congruency Postulates/Theorems. SSS Congruency Postulate. Side-Side-Side (SSS) Congruence Examples.

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Triangle Congruency

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  1. Triangle Congruency MM1G3c

  2. Congruency Postulates/Theorems

  3. SSS Congruency Postulate

  4. Side-Side-Side (SSS) Congruence Examples

  5. The Side-Side-Side (SSS) Congruence Postulate states that if all three sides of one triangle are congruent to all three sides of another triangle, then the two triangles are congruent. D A E B F C

  6. Example 1: In the triangles below, MN = 3, NP = 4, MP = 5, XY = 3, YZ = 4, and XZ = 5. Are the two triangles congruent? If so, why? Solution: M X N P Y Z

  7. Example 2: If x = 4, are the two triangles below congruent? If so, why? Solution: Substituting x = 4, we can find the length of each side. QP = 10, QR = 12, and PR = 9 KL = 10, KJ = 12, and LJ = 9 Q K 2x+2 5x-8 3x x+6 P R J L 2x+1 3x-3

  8. Example 3: Is ∆ ABD congruent to ∆ CDB? If so, why? Solution: A B D C

  9. K Q 10 12 12 10 P R J L 9 9 Therefore, since all three sides of ∆ QPR are congruent to all three sides of ∆ KLJ, then the two triangles are congruent by the Side-Side-Side (SSS) Congruence Postulate.

  10. Summary Side-Side-Side (SSS) Congruence Postulate: If three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

  11. Interactive Website! • SSS Congruency

  12. Try These: C

  13. Try These: D

  14. Try These: D

  15. Try These: D

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