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Answers. Proving Triangle Congruence - SSS. Math 2 - Lesson 17 Mr. Lopez. Triangle Congruence - SSS. (Side-Side-Side) Postulate Two triangles are congruent if the three sides of one triangle are congruent to the three sides of another triangle. A. D. C. B. E. F.
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Proving Triangle Congruence - SSS Math 2 - Lesson 17 Mr. Lopez
Triangle Congruence - SSS (Side-Side-Side) Postulate • Two triangles are congruent if the three sides of one triangle are congruent to the three sides of another triangle. A D C B E F ΔABC = ΔDEF by SSS
Correct Labeling • It is incorrect if you label a diagram whether it’s an angle or any polygon in the order where the segments do not correspond with each other. • Ex: D A E C F B ΔABC = ΔDEF is correct (sides correspond) ΔABC = ΔEDF is not correct ΔCBA = ΔDEF is not correct ΔCBA = ΔFED is correct
How to use SSS in a proof Ex 1: Given: AB and CD bisect each other at point E. AC = DB Prove: ΔAEC = ΔBED A C E D B
How to use SSS in a proof Ex 2: (Shared Side Triangles) Given: AD = BC, AB = DC Prove: ΔADB = ΔCBD A D B C
C A B D E F How to use SSS in a proof Ex 3: (Overlapping Triangles) Given: AB = CD, AF = CE, BE = DF Prove: ΔAFB = ΔCED