Download Chapter 2, Section 3

Triangle Congruence: ASA and AAS
Honors Geometry
Postulate 4-3 Angle-Side-Angle (ASA) Postulate
IF two angles and the included side of one triangle are congruent to two angles and the included
side of another triangle, then the two triangles are congruent.
D
A
____
C
B
______ by _____
G
F
Ex 1: Given
M
4
P
300
4
0
60
R
N
O
Q
Write a congruence statement for the triangles above.
Ex 2: Which side is included between  R and  F in  FTR?
Ex 3: Which angles in  STU include US ?
Theorem
Angle-Angle-Side (AAS) Theorem
If two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding
nonincluded side of another triangle, then the triangles are congruent.
D
A
ABC
C
B
G
F
Ex 4:
Given:
D
A
B
5
420
380
C
F
5 100
420
0
G
Write a congruence statement for the triangles above.
DFG
1. Prove that MNP  OPN given that MNOP is a parallelogram.
M
P
N
O
2. List the combinations of sides and angles that will prove congruence?
3. What about AAA and SSA? Find an example to support your conclusion?