1. 4.5 ASA & AAS Congruence Theorems October 18, 2012
Is there enough given information to prove the
triangles congruent? If there is, state the postulate
or theorem.
B
E
L
L
W
O
R
K
Oct 26­9:59 AM
HW pg. 252 #3­19 odd, 31 & 33 1

2. 4.5 ASA & AAS Congruence Theorems October 18, 2012
4.5 Prove Triangles Congruent by ASA & AAS
4. Angle­Side­Angle (ASA)
*2 angles and the INCLUDED side
If 2 angles & the included side of one ∆ are ≅ to the 2 angles and included side
of another ∆, then the ∆’s are ≅ .
Y M
P
X N
W
5. Angle­Angle­Side (AAS or SAA)
*2 angles and the NON included side
If 2 angles and the non­included side of one ∆ are ≅ to the 2 angles and non­
included side of another ∆,then the ∆’s are ≅ .
E
B
F
A C D
Oct 25­1:46 PM
HW pg. 252 #3­19 odd, 31 & 33 2

3. 4.5 ASA & AAS Congruence Theorems October 18, 2012
Oct 25­2:00 PM
HW pg. 252 #3­19 odd, 31 & 33 3

4. 4.5 ASA & AAS Congruence Theorems October 18, 2012
Other Scenarios
1. Angle­Angle­Angle (AAA)
*** This scenario only proves that 2 triangles are similar.
*** No triangle congruency can be determined.
2. Side­Side­Angle (SSA)
*** No conclusion can be made from S­S­A
Oct 25­1:54 PM
HW pg. 252 #3­19 odd, 31 & 33 4

5. 4.5 ASA & AAS Congruence Theorems October 18, 2012
HW pg. 252 #3­19 odd, 31 & 33
Oct 25­2:02 PM
HW pg. 252 #3­19 odd, 31 & 33 5