WorksheetsTriangle Congruence
Total questions: 25
Worksheet time: 2hrs 5mins
Name
Class
Date
1.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
Yes by ASA
b)
Yes by AAS
c)
Yes by SSA
d)
Not congruent
2.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
SSA
b)
AAS
c)
ASA
d)
Not necessarily congruent
3.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
SAS
b)
SSS
c)
Both SSS and SAS
d)
Not necessarily congruent
4.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
5.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
6.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
7.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
8.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
9.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
10.
How are these two triangles congruent?
a)
AAS
b)
ASA
c)
Not enough information
d)
SAS
11.
How are these triangles congruent?
a)
AAS
b)
ASA
c)
SAS
d)
Not enough information
12.
How are these triangles congruent?
a)
AAA
b)
Not enough information
c)
ASA
d)
HL
13.
How are these two triangles congruent?
a)
Not enough information
b)
SAS
c)
ASA
d)
SSA
14.
What postulate proves these triangles congruent?
a)
SAS
b)
HL
c)
AAS
d)
ASA
15.
What additional information is needed to prove these triangles congruent?
a)
AC≅FE ; SAS
b)
AC ≅ FD ; HL
c)
AB≅ED ; HL
d)
AC≅FD ; SAS
16.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
SSA
d)
HL
17.
What is the "statement" for step 2 of the proof?
a)
AD=AD
b)
AD=DA
c)
HD=DN
d)
HA = AN
18.
What is the "statement" for step 3 of the proof?
a)
∡EDA≅∡DCB
b)
∡AED≅∡BEC
c)
DE=CE
d)
∡AED≅∡CED
19.
What is the "statement" for step 2 of the proof?
a)
∡JHI≅∡JKL
b)
JL=JI
c)
∡H≅∡K
d)
HI=KL
20.
Fill in the missing proofs.
a)
Transitive Property, SAS(Side-Angle-Side)
b)
Reflexive Property, SAS(Side-Angle-Side)
c)
Reflexive Property, Vertical Angles Thm.
d)
Transitive Property, SSS(Side-Side-Side)
21.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
22.
Which segment is congruent to EF?
a)
HG
b)
HF
c)
GF
d)
IE
23.
Use the congruency statement to answer the following:
<F = ___
<F = ___
a)
<H
b)
<I
c)
<G
d)
not congruent to another angle
24.
Are these triangles congruent?
a)
Yes, by ASA
b)
Yes, by SAS
c)
No they are not congruent
d)
Not enough information to know for sure
25.
Are these triangles congruent?
a)
Yes, by AAS
b)
Yes, by ASA
c)
No they are not congruent
d)
Not enough information to know for sure
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