WorksheetsCongruence and Proof
Total questions: 62
Worksheet time: 3hrs 0mins
Name
Class
Date
1.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
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)
AAS
4.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
ASA
d)
Not Congruent
5.
What is the "statement" for step 2 of the proof?
a)
AD=AD
b)
AD=DA
c)
HD=DN
d)
HD=ND
6.
What is the "statement" for step 3 of the proof?
a)
AD=DA
b)
AD=AD
c)
HD=ND
d)
HD=DN
7.
Which of the following is not a valid reason to prove congruent triangles?
a)
ASA
b)
SAS
c)
SSS
d)
AAA
8.
What is the "statement" for step 3 of the proof?
a)
HA=HA
b)
HA=AH
c)
MA=AM
d)
MA=MA
9.
Identify the missing statement or reason
a)
Reflexive Property
b)
Definition of Midpoint
c)
Given
d)
Vertical Angles Theorem
10.
Identify the missing statement or reason
a)
Given
b)
Vertical Angles Theorem
c)
Definition of Angle Bisector
d)
Alternate Interior Angles Theorem
11.
What is the "reason" for step 2 of the proof?
a)
reflexive property
b)
proof
c)
SAS
≅ thrm
≅ thrm
d)
given
12.
What is the "statement" for step 3 of the proof?
a)
∡EDA≅∡DCB
b)
∡AED≅∡BEC
c)
DE=CE
d)
∡AED≅∡CED
13.
What is the "reason" for step 3 of the proof?
a)
Vertical Angle Theorem
b)
given
c)
reflexive property
d)
proof
14.
Which is a correct congruence statement.
a)
A
b)
B
c)
C
d)
D
15.
Given, "If I have a Siberian Husky, then I have a dog." Identify the converse.
a)
If I do not have a Siberian Husky, then I do not have a dog.
b)
If I have a dog, then I have a Siberian Husky.
c)
If I do not have a dog, then I do not have a Siberian Husky.
d)
If I do not have a Siberian Husky, then I have a dog.
16.
Given, "If I have a Siberian Husky, then I have a dog." Identify the converse.
a)
If I do not have a Siberian Husky, then I do not have a dog.
b)
If I have a dog, then I have a Siberian Husky.
c)
If I do not have a dog, then I do not have a Siberian Husky.
d)
If I do not have a Siberian Husky, then I have a dog.
17.
Given, "If I have a Siberian Husky, then I have a dog." Identify the hypothesis.
a)
If I have a Siberian Husky.
b)
I have a Siberian Husky.
c)
Then I have a dog.
d)
I have a dog.
18.
Given, "If I have a Siberian Husky, then I have a dog." Identify the conclusion.
a)
If I have a Siberian Husky.
b)
I have a Siberian Husky.
c)
Then I have a dog.
d)
I have a dog.
19.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the hypothesis.
a)
If angles are congruent.
b)
Angles are congruent.
c)
Then the measures of the angles are equal.
d)
The measures of the angles are equal.
20.
Given, "If angles are congruent, then the measures of the angles are equal." Identify the conclusion.
a)
If the angles are congruent.
b)
The angles are congruent.
c)
Then the measures of the angles are equal.
d)
The measures of the angles are equal.
21.
What is the next number in this pattern?
a)
49
b)
55
c)
57
d)
63
22.
Complete the conjecture. Think of examples to help.
The difference of any two odd numbers is _______
The difference of any two odd numbers is _______
a)
even
b)
odd
c)
zero
d)
positive
23.
Which is a counterexample of: If the product of two numbers is even, then the numbers must be even.
a)
2x2=4
b)
2x3=6
c)
4x2=8
d)
3x5=15
24.
Which is a counterexample of: If a four sided shape has two sides the same length, then it must be a rectangle.
a)
quadrilateral
b)
rectangle
c)
square
d)
triangle
25.
Which is a counterexample of: Any number divisible by 2 is divisible by 4.
a)
15÷2
b)
20÷4
c)
16÷4
d)
10÷2
26.
Find the next item in the pattern:
-3, 6, -12, 24, ...
-3, 6, -12, 24, ...
a)
36
b)
-36
c)
48
d)
-48
27.
What property would you use to solve the following equation?
x + 5 = 13
x + 5 = 13
a)
addition property
b)
subtraction property
c)
multiplication property
d)
division property
28.
Which of the following is an example of the reflexive property?
a)
∡1≅∡1
b)
∡1≅∡2, so ∡2≅∡1
c)
3(x + 4) = 3x + 12
d)
∡1≅∡2 and ∡2≅∡3, so ∡1≅∡3
29.
If X = Y, then X + 5 = Y + 5
a)
Addition Property
b)
Subtraction Property
c)
Reflexive Property
d)
Transitive Property
30.
AB = AB
a)
Reflexive Property
b)
Transitive Property
c)
Symmetric Property
d)
Distributive Property
31.
If M is the midpoint of AB, then AM = MB
a)
Addition Property
b)
Def. of Midpoint
c)
Reflexive Property
d)
Symmetric
32.
If <1 and <2 are complementary, then m<1 + m<2 = 90
a)
Addition Property
b)
Subtraction Property
c)
Def of right angle
d)
Def of Complementary Angles
33.
What is always the 1st statement in reason column of a proof?
a)
Prove
b)
Given
c)
Reason
d)
Statement
34.
If CD is a bisector of ∠ACB, then ∠ACD≅∠DCB
a)
Def. of Midpoint
b)
Addition Property
c)
Def. of Angle Bisector
d)
Substitution Property
35.
Given AD bisects CB at E, which of the following is true?
a)
CB≅AD
b)
AE≅EC
c)
BE≅CE
d)
BE≅ED
36.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
ASA
d)
Not Congruent
37.
Given that the two triangles are congruent, m≺XZY ≅ ___________.
a)
m≺TSR
b)
m≺RTS
c)
RT
d)
m≺SRT
38.
Given that the two triangles are congruent, XZ ≅ _________?
a)
XZ
b)
RT
c)
TS
d)
RS
39.
a)
addition POE
b)
substitution POE
c)
transitive property
40.
a)
multiplication POE
b)
distributive property
c)
division POE
d)
addition POE
41.
a)
segment addition postulate
b)
addition POE
c)
angle addition POE
d)
substitution POE
42.
a)
symmetric POE
b)
reflexive POE
c)
transitive POE
d)
definition of congruence
43.
a)
addition POE
b)
angle addition POE
c)
subtraction POE
d)
substitution POE
44.
a)
multiplication POE
b)
division POE
c)
subtraction POE
d)
substitution POE
45.
What does CPCTC stand for?
a)
Corresponding Parts of Corresponding Triangles are Congruent
b)
Congruent Parts of Corresponding Triangles are Congruent
c)
Corresponding Parts of Congruent Triangles are Congruent
46.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
47.
Which segment is congruent to EF?
a)
HG
b)
HF
c)
GF
d)
IE
48.
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
49.
Congruent by
a)
SAS
b)
Not Congruent
c)
ASA
d)
AAS
50.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
51.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
52.
How are these two triangles congruent?
a)
Not enough information
b)
SAS
c)
ASA
d)
SSA
53.
Which is a correct congruence statement.
a)
A
b)
B
c)
C
d)
D
54.
a)
A
b)
B
c)
C
d)
D
55.
When do you use "CPCTC in a proof?
a)
ALWAYS at the beginning
b)
ALWAYS at the end
c)
It's optional
d)
NEver
56.
Fill in the blank.
a)
Given
b)
Reflexive Property
c)
Transitive Property
d)
They're the same side!!!!!!
57.
What is the "reason" for step 3 of the proof?
a)
Vertical Angle Theorem
b)
given
c)
reflexive property
d)
proof
58.
You should use CPCTC ______
a)
before you prove triangles congruent
b)
to prove two triangles congruent
c)
after proving triangles congruent to get the corresponding parts congruent
d)
never use CPCTC it is not a thing
59.
If ∆XYZ ≅ ∆KLM, then
∠Y≅ _____
∠Y≅ _____
a)
∠K
b)
∠M
c)
∠L
d)
∠Z
60.
Which symbol means "perpendicular"?
a)
∏
b)
∥
c)
∠
d)
⊥
61.
If ∆LMK ≅ ∆LMT, then
MK= ____
MK= ____
a)
LM
b)
K
c)
MT
d)
LT
62.
If ∆LMK ≅ ∆LMT, then
∠K ≅ ____
∠K ≅ ____
a)
T
b)
∠T
c)
∠M
d)
∠L
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