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WorksheetsCPCTC
Total questions: 40
Worksheet time: 3hrs 20mins
Name
Class
Date
1.
What does CPCTC stand for?
a)
Congruent parts of congruent triangles are congruent
b)
Corresponding parts of congruent triangles are congruent
c)
Corresponding parts of corresponding triangles are corresponding
d)
Corresponding parts of congruent triangles are Canadian.
2.
What does SAS stand for?
a)
Side-Angle-Side
b)
Super-Awesome-Side
c)
Side-Angle-Supersized
d)
Sensationally Awesome Superman
3.
What congruency postulate proves the triangles congruency?
a)
SAS
b)
ASA
c)
SSS
d)
HL
4.
What postulate would prove triangle ∆NYQ is congruent to ∆PYQ?
a)
ASA
b)
SAS
c)
SSS
d)
HL
5.
What postulate would prove triangle ∆NYQ is congruent to ∆PYQ?
a)
ASA
b)
SAS
c)
SSS
d)
HL
6.
When do you use "CPCTC in a proof?
a)
ALWAYS at the beginning
b)
ALWAYS at the end
c)
It's optional
d)
NEver
7.
What postulate proves these triangles congruent?
a)
HL
b)
SSS
c)
SAS
d)
ASA
8.
What postulate proves these triangles congruent?
a)
SAS
b)
HL
c)
AAS
d)
ASA
9.
What postulate proves these triangles congruent?
a)
SAS
b)
ASA
c)
AAS
d)
Not enough information
10.
Fill in the blank.
a)
Given
b)
Reflexive Property
c)
Transitive Property
d)
They're the same side!!!!!!
11.
Which is NOT a test to prove triangles congruent?
a)
SAA
b)
SSS
c)
SSA
d)
SAS
12.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
13.
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)
14.
What is the reason?
a)
Definition of Angle
b)
Definition of Congruence
c)
Definition of bisects
d)
Definition of midpoint
15.
What is the reason?
a)
Definition of perpendicular
b)
Definition of Right angle
c)
Definition of 90
d)
Definition of angle
16.
What is the "reason" for step 3 of the proof?
a)
Vertical Angle Theorem
b)
given
c)
reflexive property
d)
proof
17.
Are the triangles congruent, if yes, why?
a)
SSS
b)
ASA
c)
AAA
d)
Not Congruent
18.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
ASA
d)
Not Congruent
19.
What is the correct congruence statement? ΔDEC ≅________
a)
ΔAEB
b)
ΔEAB
c)
ΔBEA
d)
Not Congruent
20.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
21.
Use the congruency statement to answer the following:
∠F = ___
∠F = ___
a)
∠H
b)
∠I
c)
∠G
d)
not congruent to another angle
22.
State the angle relationship and find the measure of angle 1
a)
Alternate Interior
37
37
b)
Alternate Interior
143
143
c)
Corresponding
143
143
d)
Corresponding
37
37
23.
State the angle relationship and find the measure of angle 2
a)
Alternate Exterior
127
127
b)
Alternate Exterior
52
52
c)
Alternate Interior
127
127
d)
Alternate Interior
52
52
24.
State the angle relationship and find the measure of angle 3
a)
Alternate Exterior
94
94
b)
Alternate Exterior
86
86
c)
Alternate Interior
86
86
d)
Alternate Interior
94
94
25.
What angle pair is pictured?
a)
Alternate Interior Angles
b)
Supplementary Angles
c)
Vertical Angles
d)
Corresponding Angles
26.
∠2 & ∠6 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
27.
Find x.
a)
130
b)
50
28.
State the angle relationship and find the measure of angle 3
a)
Alternate Interior
50
50
b)
Alternate Interior
130
130
c)
Corresponding
130
130
d)
Corresponding
50
50
29.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
30.
Complete the congruence statement.
a)
OEG
b)
OGE
c)
EGO
d)
GOE
31.
∆ABC≅∆XYZ
which is true?
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
32.
∠A = ≅
a)
∠M
b)
∠N
c)
∠L
33.
If ∆PIG ≅ ∆COW, WO≅?
a)
GI
b)
PI
c)
PG
34.
What is the "reason" for step 5 of the proof?
a)
Angle Bisector Theorem
b)
Reflexive property
c)
CPCTC Theorem
d)
Proof
35.
What is the missing piece of information required to prove these triangles congruent?
a)
QY ≅ QY
b)
NY ≅ PY
c)
∠N ≅ ∠P
d)
QY is the perpendicular bisector
36.
What are the 2 missing pieces of information?
a)
Transitive Property, SAS(Side-Angle-Side)
b)
Reflexive Property, SAS(Side-Angle-Side)
c)
Transitive Property, SSS(Side-Side-Side)
d)
Reflexive Property, SSS(Side-Side-Side)
37.
What is the "statement" for step 2 of the proof?
a)
AD=AD
b)
AD=DA
c)
HD=DN
d)
HA = AN
38.
What is always the 1st statement in reason column of a proof?
a)
Prove
b)
Given
c)
Reason
d)
Statement
39.
What is the "statement" for step 3 of the proof?
a)
∡EDA≅∡DCB
b)
∡AED≅∡BEC
c)
DE=CE
d)
∡AED≅∡CED
40.
Determine if the triangles are congruent, if "yes" state the theorem.
a)
yes, SAS
b)
not congruent
c)
yes, ASA
d)
yes, AAS
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