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Proving Triangles Congruent

Total questions: 20

Worksheet time: 38mins

Name
Class
Date
1.
How many angles and how many sides are marked congruent?
a)
2 angles, 1 side
b)
0 angles, 3 sides
c)
1 angle, 2 sides
d)
3 angles, 0 sides
2.
What is the reason these triangles are congruent?
a)
SSS
b)
SAS
c)
ASA
d)
AAS
3.
What is the reason these triangles are congruent?
a)
SSS
b)
SAS
c)
ASA
d)
AAS
4.
What is the reason these triangles are congruent?
a)
SSS
b)
SAS
c)
ASA
d)
AAS
5.
What is the reason these triangles are congruent?
a)
SSS
b)
SAS
c)
ASA
d)
AAS
6.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
7.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
AAS
d)
Not Possible
8.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
AAS
d)
Not Possible
9.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
10.
Can the triangles be proven congruent?  If so, how?
a)
ASA
b)
AAS
c)
SAS
d)
Cannot be proven congruent
11.
Can the triangles be proven congruent?  If so, how?
a)
ASA
b)
AAS
c)
SAS
d)
Cannot be proven congruent
12.
Can the triangles be proven congruent?  If so, how?
a)
ASA
b)
AAS
c)
SAS
d)
Cannot be proven congruent
13.
Can the triangles be proven congruent?  If so, how?
a)
ASA
b)
Cannot be proven congruent
c)
SAS
d)
SSS
14.
What missing piece of information is needed to prove the triangles congruent using SAS?
a)
∠F≅∠Q
b)
∠G≅∠R
c)
∠H≅∠S
d)
FH = QS
15.
What missing piece of information is needed to prove the triangles congruent using ASA?
a)
GC = CD
b)
CE = CD
c)
∠GCE≅∠BCE
d)
BD = GE
16.
What missing piece of information is needed to prove the triangles congruent using SAS?
a)
NM = AM
b)
NL = CA
c)
∠M≅∠B
d)
∠N≅∠C
17.
Is Angle-Angle-Angle (AAA), a valid rule for proving triangles congruent?
a)
No
b)
Sometimes
c)
Yes
d)
N/A
18.
Fill in the missing pieces of the proof.
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)
19.
a)
SAS
b)
None
c)
SSS
d)
ASA
20.
∆ABC ≅ ∆LMN. Which statement is NOT true?
a)
LM ≅ AB
b)
∆CAB ≅ ∆NLM
c)
∠C ≅ ∠N
d)
BC ≅ ML