1. SSS & hl Congruence
Section 5.5

2. 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.

3. Proving with SSS
Prove triangle KLM is congruent to triangle NLM

4. GUIDED PRACTICE
Decide whether the congruence statement is true. Explain your reasoning.
ACB CAD

5. Hypotenuse-Leg (HL) Congruence Theorem
If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the two triangles are congruent.

6. EXAMPLE 3
Write a proof.
GIVEN
WY XZ, WZ ZY, XY ZY
PROVE
WYZ XZY

7. EXAMPLE 3
STATEMENTS
REASONS
WY XZ
Given
WZ ZY, XY ZY
Given
Definition of lines
Z and Y are right angles
Definition of a right triangle
WYZ and XZY are right triangles.
ZY YZ
Reflexive Property of Congruence
WYZ XZY
HL Congruence Theorem

8. PRACTICE
p. 270: 3-10, 13-14