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3ame:
Date:
Geometry
Triangle Congruence Proofs – ASA, AAS
1) Determine which triangles in the figure are congruent by AAS. Write a congruency statement.
Q
R
S
V
T
U
2)
Given: ∠A ≅ ∠X , ∠B ≅ ∠Y , BC ≅ YZ
A
Prove: ∆ABC ≅ ∆XYZ
X
B
C
Y
Z
Decide whether you can use the ASA or AAS Postulate to prove that the triangles below are congruent. If so a)
write the congruence statement and b) identify the postulate. If not, write not possible.
3)
4)
5)
10 m
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10 m
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U
Write a two Column Proof.
6)
Given: SU ≅ TR, SR bisects UT
Prove: ∆SMU ≅ ∆RMT
S
M
R
T
7)
Given: PQ ⊥ QS , RS ⊥ QS , M is the midpoint of PR
Prove: ∆PQM ≅ ∆RSM
R
Q
M
S
P
8)
Given: ∠0 ≅ ∠P, MO ≅ LO
Prove: ∆MO0 ≅ ∆LOP
M
0
O
P
L
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Write a Two Column Proof or Paragraph Proof.
9)
Given: AE ≅ BD, AE ! BD, ∠E ≅ ∠D
Prove: ∆AEB ≅ ∆BDC
D
E
.
A
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B
C
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