Name:__________________________
Notes 4.3 Prove Triangles Congruent by SSS
POSTULATE 19: SIDE-SIDE-SIDE (SSS) CONGRUENCE POSTULATE
If three sides of one triangle are congruent to three sides of a second triangle, then the two triangles are
congruent.
If
then
Side AB  ____, Side BC  ____, and Side CA  _____,
ΔABC  ______.
Example 1: Use the SSS Congruence Postulate
__Statements:
Write a proof.
Given FJ  HJ ,
G is the midpoint of FH .
Prove ΔFGJ  ΔHGJ
Checkpoint:
1.
Decide whether the congruence statement is true. Explain your reasoning.
ΔJKL  ΔMKL
2.
ΔRST  ΔTVW
Example 2: Congruence in the coordinate plane
Determine whether ΔPQR is congruent to the other triangles
shown at the right.
Example 3: Solve a real-world problem
Stability Explain why the table with the diagonal legs is stable,
while the one without the diagonal legs can collapse.
Reasons:____
Checkpoint Determine whether the figure is stable. Explain your reasoning.
3.
Write a proof.
4.