Proving Triangle Congruence SSS

1
Proving Triangle Congruence - SSS

• Math 2 - Lesson 17
• Mr. Lopez

2
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
B
C
E
F
??ABC ?DEF by SSS
3
Correct Labeling

• It is incorrect if you label a diagram whether
  its an angle or any polygon in the order where
  the segments do not correspond with each other.
• Ex

D
A
E
B
C
F
??ABC ?DEF is correct (sides correspond) ?ABC
?EDF is not correct ?CBA ?DEF is not
correct ?CBA ?FED is correct
4
How to use SSS in a proof

• Ex 1
• Given AB and CD bisect each other at point E. AC
  DB
• Prove ??AEC ?BED

A
C
E
D
B
5
How to use SSS in a proof

• Ex 2 (Shared Side Triangles)
• Given AD BC, AB DC
• Prove ??ADB ?CBD

A
D
B
C
6
How to use SSS in a proof

• Ex 3 (Overlapping Triangles)
• Given AB CD, AF CE, BE DF
• Prove ??AFB ?CED