Geometry – Unit 5 Practice
Congruence Criteria
Name: _____________________________!
Date: ___________ Pd: ____
G.CO.B.8, G.SRT.B.5
Quick Concept: Two triangles are congruent by SSS, SAS, ASA, AAS and HL. Look for items that are not
provided in the given or the diagram for addition information about sides and angles. The typical missing
items are a common side, a common angle, vertical angles or parallel lines that provide more angle info.
1) Are the following pairs of triangles congruent? If they are, then name their congruence criteria.
(SSS, SAS, ASA, AAS, HL or NONE)
a) Yes / No __________
b) Yes / No __________
c) Yes / No __________
o
o
o
d) Yes / No __________
*
o
*
2) Are the following pairs of triangle congruent?
If YES, create a congruence statement and name the congruence criteria.
SSS, SAS, ASA, AAS, HL or AS1S2 (S2 > S1)
D
a) Yes / No
_____  _____
b)
E
C
c)
A o
C
A
d)
*
*
o
Criteria ________
P
Yes / No
_____  _____
C
_____  _____
G
H
Criteria ________
Yes / No
D
B
Yes / No
_____  _____
J
P
H
P
Criteria ________
e)
Yes / No
_____  _____
C
J
o
* *
o P
C
Criteria ________
f)
J
Yes / No
* *
_____  _____
Y
K
Criteria ________
SNRPDP
A
B
Criteria ________
Unit 5: Triangles and Triangle Congruence
NVACS – Revised 2015-2016
T
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Practice – Unit 3 (cont.)
3) Jennifer states that ABC  DEF can be proven by either ASA or AAS.
Joshua disagrees – he says it can only be done by ASA because in ABC it
is missing the matching symbol to D so we don’t know if A  D.
Who is correct? Explain.
B
C
o
E
A D
F
o
X
4) Are the following pairs of triangle congruent?
If YES, create a congruence statement and name the congruence criteria.
SSS, SAS, ASA, AAS, HL or AS1S2 (S2 > S1)
a) Yes / No
L
P
G
b)
Yes / No
o
Criteria ________
B
F
Criteria ________
K
Yes / No
R
S
d)
Yes / No
J
o
o
Criteria ________
e)
Q
Yes / No
T
E
H
T
R
c)
A
C
o
H
T
K
Criteria ________
f)
o U
*
o
A
* L
D
Yes / No
o
J
o
B
Criteria ________
D
E
Criteria ________
C
F
5) Rita says that the following triangles are congruent by ASA. Is she
correct?
YES
or
E
NO
o
B
Explain your answer.
C
o
D
A
6) Angela says that “if you know that two sides of a triangle are the same as two sides of another triangle,
then the two triangles must be congruent.” Do you agree with her? Explain.
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