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3.6 Worksheet – Congruent Triangles – geometrycommoncore.com NAME: ________________________1 1. Are the following pairs of triangles congruent? If they are, then name their congruence criteria. (SSS, SAS, ASA, AAS, HL or AS1S2 (S2 > S1)) a) Yes / No __________ b) Yes / No __________ c) Yes / No __________ *
o
o
o
*
d) Yes / No __________ o
e) Yes / No __________ f) Yes / No __________ g) Yes / No __________ o
o
*
o
*
o
*
*
o
h) 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) Yes / No Δ_____ ≅ Δ_____ E
C
Δ_____ ≅ Δ_____ G
H
C
A
C
o
o P
J
A
R
T
P
Criteria ________ h) Yes / No T
B
Δ_____ ≅ Δ_____ G
Criteria ________ Y
K
* *
Δ_____ ≅ Δ_____ * *
C
J
Δ_____ ≅ Δ_____ Criteria ________ P
H
Criteria ________ f) Yes / No Criteria ________ B
P
g) Yes / No D
Δ_____ ≅ Δ_____ J
Δ_____ ≅ Δ_____ B
Criteria ________ *
*
o
Criteria ________ d) Yes / No P
c) Yes / No e) Yes / No A o
Criteria ________ Δ_____ ≅ Δ_____ C
4 cm
4 cm
A
D
C
E
3.6 Worksheet – Congruent Triangles – geometrycommoncore.com B
i) Yes / No j) Yes / No C
Criteria ________ P
Δ_____ ≅ Δ_____ o
2 o
Δ_____ ≅ Δ_____ H
D
Criteria ________ E A
K
M
3. 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 G
L
P
b) Yes / No Criteria ________ o
Criteria ________ F
K
R
c) Yes / No d) Yes / No S
o
T
e) Yes / No E
H
T
g) Yes / No o
Criteria ________ A
L
P
C
Criteria ________ G
o
J
R
* L
o
B
D
G
o
o
A
C
G
Criteria ________ H
F
L
4. Jeff states that Δ PLN ≅ Δ CVB because of ASA. Nancy says that she knows something that would allow her to use AAS. What does she know that would allow her to use AAS for these triangles? L
B
o
*
N
P
C
F
E
j) Yes / No F
K
A
D
f) Yes / No Criteria ________ o
F
i) Yes / No K
D
o U
*
o
h) Yes / No E
B
Criteria ________ B
C
Criteria ________ Criteria ________ D
H
J
o
Q
B
T
R
Criteria ________ A
C
o
*
o
V
3.6 Worksheet – Congruent Triangles – geometrycommoncore.com 3 5. Explain the case of AS1S2 when S2 is less than S1 where it has two intersections. Why can two triangles be formed?