Other Methods of Proving Triangles Congruent

1
Section 4-5

• Other Methods of Proving Triangles Congruent

2
In Section 4-2, we learned three postulates that
proved triangles congruent

• SSS Postulate
• SAS Postulate
• ASA Postulate

3
Recall

• Postulate is a statement accepted without proof.
• Theorem is a statement that can be proved.

4
AAS Theorem(Angle-Angle-Side)

• If two angles and a non-included side of one
  triangle are congruent to the corresponding parts
  of another triangle, then the triangles are
  congruent.

5
A
D
C
B
F
E
6
The next method in proving triangles congruent
only applies to right triangles!
7
Diagram of a Right Triangle
Hypotenuse side opposite the right angle
Leg
Leg
8
HL Theorem(Hypotenuse-Leg)

• If the hypotenuse and a leg of one right triangle
  are congruent to the corresponding parts of
  another right triangle, then the triangles are
  congruent.

9
B
E
C
D
A
F