1. 4.4 Prove Triangles Congruent by SAS and HL
Hubarth
Geometry

2. Side-Angle-Side Congruence Postulate (SAS)

3. 5. 5. Ex 1 Use the SAS Congruence Postulate Write a proof. STATEMENTS
REASONS
Given
BC DA S
Given
BC ll AD
Alternate Interior Angles Theorem A
AC CA
Reflexive Property of Congruence S 5. 5.
SAS Congruence Postulate

4. Ex 2 Use SAS and Properties of Shapes

5. Hypotenuse-Leg Congruence Theorem (HL)

6. Ex 3 Use the HL Congruence Theorem
Write a proof.
Redraw the triangles separately
Statement Reasoning

7. Practice
1. In the diagram, ABCD is a square with four congruent sides and four right angles. R, S, T, and U are the midpoints of the sides of ABCD.
STATEMENTS
REASONS
Given
Definition of lines
Reflexive Property of Congruence S
SAS Congruence Postulate

8. b. Prove that
STATEMENTS
REASONS
1. Given
5. Given
6. SAS Congruence Postulate
Use the diagram at the right.
2. Prove:
Statement Reason
1. Given