Accelerated Proofs Review

Accelerated AAG
Unit 3 – Triangle Congruence Proofs
Name & Date
REVIEW
1) Check the boxes that provide the necessary information to prove triangles are congruent.
Postulate/Theorem
Proves Triangle
Congruence?
SSS
AAA
SAS
ASA
SSA
HL
AAS
Directions: Mark the diagram with the given information, then determine whether the triangles are
congruent. If they are congruent, write the postulate and complete the triangle congruence statement.
2)
3)
4)
5)
6)
7)
A
8)
Given: AD / /BC ; AD  CB
Prove: AED CEB
E
D
Statements
9)
B
Given: QP  PS ; QR  RS ; QR  PS
C
Reasons
Q
R
P
S
Prove: QPS SRQ
Statements
Reasons
Accelerated AAG
Unit 3 – Triangle Congruence Proofs
10)
Name & Date
REVIEW
C
Given: AC  AD ; CB  DB
Prove: AB bisects CAD
A
B
D
Statements
11)
Reasons
L
Given: LM bisects JLK ; JL  KL
Prove: M is the midpoint of JK
J
Statements
M
Reasons
K
A
12)
Given: AB  AC ; AD  AE
Prove: DAC EAB
B
C
D
Statements
E
Reasons
E
13)
Given: AD  AE ; D  E
Prove: DC  EB
C
A
B
D
Statements
Reasons
Accelerated AAG
Unit 3 – Triangle Congruence Proofs
14)
Name & Date
REVIEW
Given: B and C on A ; AD  BC
Prove: B  C
A
B
Statements
C
D
Reasons
D
15)
Given: A is the midpoint of BE and CD
Prove: BC / /DE
B
A
C
Statements
Reasons
E
16)
Given: I is the midpoint of GK
J
H
HG / /JI ; GHI  IJK
Prove: HI / /JK
G
Statements
17)
I
Reasons
Given: N and L on P ; N  L
Prove: ML  NQ
N
M
P
Q
L
Statements
Reasons
K

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