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Congruent Triangles

Total questions: 24

Worksheet time: 1hrs 10mins

Name
Class
Date
1.
Are the triangles congruent, if yes, why?
a)
SAS
b)
ASA
c)
AAS
d)
Not congruent
2.
Are the triangles congruent, if yes, why?
a)
SAS
b)
ASA
c)
AAS
d)
Not Congruent
3.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
ASA
d)
Not Congruent
4.
Are the triangles congruent, if yes, why?
a)
SSS
b)
ASA
c)
AAS
d)
Not Congruent
5.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
AAS
d)
Not Congruent
6.
Are the triangles congruent, if yes, why?
a)
SAS
b)
ASA
c)
AAS
d)
Not Congruent
7.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
ASA
d)
AAS
8.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
ASA
d)
AAS
9.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
ASA
d)
Not Congruent
10.
What would be the correct "given" statements for this diagram?
a)
∡A≅∡C, and segment DB is the angle bisector of ∡CDA
b)
BD=BD, and DB=DB
c)
∡A≅∡C, and segment DB is the angle bisector of ∡CBA
d)
∡B≅∡D, segment DB is the angle bisector of ∡DCA.
11.
What would be the correct "given" statements for this diagram?
a)
T is the midpoint of segment BG and
∡B≅∡G
b)
∡B≅∡G and ∡A≅∡W
c)
T is the midpoint of segment BG and ∡A≅∡W
d)
T is the midpoint of segment AW and ∡A≅∡W
12.
What is the "statement" for step 2 of the proof?
a)
AD=AD
b)
AD=DA
c)
HD=DN
d)
HD=ND
13.
What is the "statement" for step 3 of the proof?
a)
AD=DA
b)
AD=AD
c)
HD=ND
d)
HD=DN
14.
What is the "reason" for step 4 of the proof?
a)
SAS
≅ theorem
b)
ASA
≅ theorem
c)
SSA
≅ theorem
d)
CPTCT
 theorem
15.
What is the "reason" for step 5 of the proof?
a)
Vertical Angle Theorem
b)
proof
c)
def. of angle bisector
d)
CPCTC Theorem
16.
Which of the following is not a valid reason to prove congruent triangles?
a)
ASA
b)
SAS
c)
SSS
d)
AAA
17.
Which of the following is not a valid reason to prove congruent triangles?
a)
SSA
b)
AAS
c)
SAS
d)
SSS
18.
What is the "statement" for step 3 of the proof?
a)
HA=HA
b)
HA=AH
c)
MA=AM
d)
MA=MA
19.
What is the "statement" for step 5 of the proof?
a)
HM=AT
b)
HM=TA
c)
∆MAH≅∆THA
d)
∡MAH≅∡THA
20.
What is the "reason" for step 5 of the proof?
a)
Angle Bisector Theorem
b)
Reflexive property
c)
CPCTC Theorem
d)
Proof
21.
Identify the  missing statement or reason
a)
LN≅MJ
b)
JK≅NK
c)
MK≅LK
d)
∠JKM≅∠NKL
22.
Identify the  missing statement or reason
a)
Reflexive Property
b)
Definition of Midpoint
c)
Given
d)
Vertical Angles Theorem
23.
Identify the  missing statement or reason
a)
Given
b)
Vertical Angles Theorem
c)
Definition of Angle Bisector
d)
Alternate Interior Angles Theorem
24.
Identify the  missing statement or reason
a)
Definition of Angle Bisector
b)
Alternate Interior Angles Theorem
c)
Reflexive Property
d)
Definition of Midpoint