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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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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

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


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