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Proofs Quiz I

Total questions: 104

Worksheet time: 3hrs 59mins

Name
Class
Date
1.

A convincing mathematical argument.

a)

Postulate

b)

Proof

c)

Geometric Figure

d)

Definitions

2.
What is always the 1st statement in reason column of a proof?
a)
Prove
b)
Given
c)
Reason
d)
Statement
3.

_____ is a proof that allows a prescribed form.

a)

Formal Proof

b)
A hypothesis
c)
An axiom
d)
A postulate
4.

Put the following in order of the steps needed to write a paragraph proof. (First to last.)

a)

Given information

b)

Statements and reasons

c)

Final reason/answer

1)
2)
3)
5.

Paragraph proofs must be written in complete sentences.

a)

True

b)

False

6.

Which are correct statements regarding proofs? Select three options.

a)

In a paragraph proof, statements and their justifications are written in sentences in a logical order. 

b)

A two-column proof consists of a list statements and the reasons the statements are true.

c)

A flowchart proof gives a visual representation of the sequence of steps without justifications.

d)

A flowchart proof is a visual way of describing the statements and reasons for a proof.

e)

A two-column proof lists only the given information and what is to be proven.

7.

A paragraph proof

a)

uses inductive reasoning to prove a statement.

b)

contains a table with a logical series of statements and reasons.

c)

uses a visual chart of the logical flow of steps needed to reach a conclusion.

d)

contains a set of sentences explaining the steps needed to reach a conclusion.  

8.
The "then" part of the conditional statement is called the _________________________.
a)
Conclusion
b)
Hypothesis
c)
Conditional Statement
d)
Conjecture
9.
The "if" part of a conditional statement is called the _______________
a)
Hypothesis
b)
Conclusion
c)
Conditional Statement
d)
Conjecture
10.

“If the cloud is dark, then it will rain”. What is the hypothesis?

a)

then it will rain

b)

if the cloud is dark

c)

it will rain

d)

the cloud is dark.

11.

“If the cloud is dark, then it will rain”. What is the conclusion?

a)

then it will rain

b)

if the cloud is dark

c)

it will rain

d)

the cloud is dark.

12.

Which of the following is used to represent the hypothesis in a conditional statement?

a)

p

b)

q

c)

x

d)

y

13.

Which of the following is used to represent the conclusion in a conditional statement?

a)

p

b)

q

c)

x

d)

y

14.

Which of the following corresponds to the symbol notation below?

p→qp\rightarrow q  

a)

Conditional Statement

b)

Converse

c)

Inverse

d)

Biconditional Statement

15.

In a conditional statement, the if part is called the ______.

a)

hypothesis

b)
Loop
c)
Variable
d)
Function
16.

In a conditional statement, the 'then' portion is called a _____.

a)

conclusion

b)
predicate
c)
proposition
d)
hypothesis
17.
What is this?
a)
Conditional Statement
b)
Inverse
c)
Converse
d)
THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS!
18.

Which of the following is true about the conditional statement below?

If you are flying, then you are in a

jet.

a)

Hypothesis: you are flying

Conclusion: you are in a

jet

b)

Hypothesis: IF you are flying

Conclusion: THEN you are in a

jet

c)

Hypothesis: THEN you are in a

jet

Conclusion: IF you are flying

d)

Hypothesis: you are in a

jet

Conclusion: you are flying

19.
Identify the hypothesis and conclusion of the conditional statement:
If you give me twenty dollars, then I will be your best friend.
a)
Hypothesis: I will be your best friend
Conclusion: you give me twenty dollars
b)
Hypothesis: you give me twenty dollars
Conclusion: I will be your best friend
c)
Hypothesis: if you have to pay for friends
Conclusion: then you probably should reevaluate your life
d)
Hypothesis: you will not have to pay twenty dollars
Conclusion: if you have lots of friends
20.

The process of drawing logically certain conclusions by using an argument is known as ______.

a)
Induction
b)

Deduction

c)
Hypothesis
d)
Experimentation
21.

What reasoning makes proofs based on facts and evidence?

a)

Deductive

b)

Inductive

22.
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.
23.
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.
24.

Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."


What is the converse of this statement?

a)

If a polygon is not a quadrilateral, then it is not a trapezoid.

b)

If a polygon is not a trapezoid, then it is not a quadrilateral.

c)

If a polygon is a trapezoid, then it is a quadrilateral.

d)

A rectangle is also a quadrilateral.

25.

When you interchange the hypothesis and the conclusion of a conditional statement it is called the _____.

a)
Converse
b)
Inverse
c)
Contrapositive
d)
Biconditional
26.

Which of the following is the CONVERSE of the statement below?

If an object is a ring, then it is

made of gold.

a)

If an object is made of gold, then it is a ring.

b)

If an object is not a ring, then it is not made of god.

c)

If an object is not made of gold, then it is not a ring.

d)

There is no converse of the statement.

27.

An example that proves a statement is false is called a _____.

a)
Counterexample
b)
Hypothesis
c)
Theory
d)
Postulate
28.
What is the inverse to this statement?
a)
If you live in Canada, you live in Montreal
b)
If you don't live in Montreal, then you don't live in Canada.
c)
If you don't live in Canada, you don't live in Montreal.
d)
Montreal is in Brazil.
29.

When you add "not" to both parts of the conditional statement it is called the _____.

a)
Contrapositive
b)
Inverse
c)
Converse
d)
Biconditional
30.

What kind of statement is, "if I have an iPhone, then I have a TikTok account"?

a)

Inverse Statement

b)

Converse Statement

c)

Conditional Statement

d)

Controversial Statement

31.

In the conditional statement, "if I have an iPhone, then I have a TikTok account," what is the hypothesis?

a)

I have a TikTok account

b)

I have an iPhone

c)

I don't have an iPhone

d)

I don't have a TikTok account

32.

In the conditional statement, "if I have an iPhone, then I have a TikTok account," what is the conclusion?

a)

I have a TikTok account

b)

I have an iPhone

c)

I don't have an iPhone

d)

I don't have a TikTok account

33.

What is the converse statement of, "if I have an iPhone, then I have a TikTok account"?

a)

If I have a TikTok account, then I have an iPhone.

b)

If I don't have a TikTok account, then I don't have an iPhone.

c)

If I have a TikTok account, then I have a Samsung.

d)

If I have an iPhone, then I have an Instagram account.

34.

What is the inverse statement of, "if I have an iPhone, then I have a TikTok account"?

a)

If I have a TikTok account, then I have an iPhone.

b)

If I don't have a TikTok account, then I don't have an iPhone.

c)

If I don't have an iPhone, then I don't have a TikTok account.

d)

If I have an iPhone, then I have an Instagram account.

35.

What kind of statement is, "if you hate dogs, then you love cats"?

a)

Inverse Statement

b)

Converse Statement

c)

Conditional Statement

d)

Controversial Statement

36.

In the conditional statement, "if you hate dogs, then you love cats," what is the hypothesis?

a)

You love dogs.

b)

You hate cats.

c)

You love cats.

d)

You hate dogs.

37.

In the conditional statement, "if you hate dogs, then you love cats," what is the conclusion?

a)

You love dogs.

b)

You hate cats.

c)

You love cats.

d)

You hate dogs.

38.

What is the converse of, "if you hate dogs, then you love cats"?

a)

If you don't hate dogs, then you don't love cats.

b)

If you love cats, then you hate dogs.

c)

If you love hogs, then you hate rats.

d)

If you hate dogs, then you hate everyone.

39.

What is the inverse of, "if you hate dogs, then you love cats"?

a)

If you don't hate dogs, then you don't love cats.

b)

If you love cats, then you hate dogs.

c)

If you love hogs, then you hate rats.

d)

If you hate dogs, then you hate everyone.

40.

What kind of statement is the following?

"If you make a lot of money, then you can buy a nice car."

a)

Contrapositive Statement

b)

Converse Statement

c)

Conditional Statement

d)

Controversial Statement

41.

"If you make a lot of money, then you can buy a nice car."

What is the hypothesis?

a)

You can't buy a nice car.

b)

You make a lot of money.

c)

You can buy a nice car.

d)

You don't make a lot of money.

42.

"If you make a lot of money, then you can buy a nice car."

What is the conclusion?

a)

You can't buy a nice car.

b)

You make a lot of money.

c)

You can buy a nice car.

d)

You don't make a lot of money.

43.

What would be the converse of the conditional statement?

"If you make a lot of money, then you can buy a nice car."

a)

If you can't buy a nice car, then you don't make a lot of money.

b)

If you don't make a lot of money, then you can't buy a nice car.

c)

If you can buy a nice car, then you make a lot of money.

d)

If you make a lot of money, then you can buy a nice car.

44.

What would be the inverse of the conditional statement?

"If you make a lot of money, then you can buy a nice car."

a)

If you can't buy a nice car, then you don't make a lot of money.

b)

If you don't make a lot of money, then you can't buy a nice car.

c)

If you can buy a nice car, then you make a lot of money.

d)

If you make a lot of money, then you can buy a nice car.

45.

What would be the contrapositive of the conditional statement?

"If you make a lot of money, then you can buy a nice car."

a)

If you can't buy a nice car, then you don't make a lot of money.

b)

If you don't make a lot of money, then you can't buy a nice car.

c)

If you can buy a nice car, then you make a lot of money.

d)

If you make a lot of money, then you can buy a nice car.

46.

The contrapositive is both the converse and inverse of a conditional statement. Type the contrapositive for the following statement:

"If I'm sleepy, then I'm lazy."

4 lines
47.

Conditional Statement

“If I live in Los Angeles, then I live in California.”


What is the p?

a)

I don't live in California

b)

I live in California

c)

I don't live in Los Angeles

d)

I live in Los Angeles

48.

Conditional Statement

“If I live in Los Angeles, then I live in California.”


What is the q?

a)

I don't live in California

b)

I live in California

c)

I don't live in Los Angeles

d)

I live in Los Angeles

49.

Conditional Statement

“If I live in Los Angeles, then I live in California.”


What is the ~p?

a)

I don't live in California

b)

I live in California

c)

I don't live in Los Angeles

d)

I live in Los Angeles

50.

Conditional Statement

“If I live in Los Angeles, then I live in California.”


What is the ~q?

a)

I don't live in California

b)

I live in California

c)

I don't live in Los Angeles

d)

I live in Los Angeles

51.

Conditional Statement p → qp\ \rightarrow\ q

What is the converse?

a)

∼q → ∼p\sim q\ \rightarrow\ \sim p

b)


q → pq\ \rightarrow\ p

c)

∼p → ∼q\sim p\ \rightarrow\ \sim q

52.

Conditional Statement p → qp\ \rightarrow\ q

What is the inverse?

a)

∼q → ∼p\sim q\ \rightarrow\ \sim p

b)


q → pq\ \rightarrow\ p

c)

∼p → ∼q\sim p\ \rightarrow\ \sim q

53.

Conditional Statement p → qp\ \rightarrow\ q

What is the contrapositive?

a)

∼q → ∼p\sim q\ \rightarrow\ \sim p

b)


q → pq\ \rightarrow\ p

c)

∼p → ∼q\sim p\ \rightarrow\ \sim q

54.

Conditional Statement

“If I live in Los Angeles, then I live in California.”


What is the p?

a)

I don't live in California

b)

I live in California

c)

I don't live in Los Angeles

d)

I live in Los Angeles

55.

Conditional Statement

“If I live in Los Angeles, then I live in California.”


What is the q?

a)

I don't live in California

b)

I live in California

c)

I don't live in Los Angeles

d)

I live in Los Angeles

56.

Conditional Statement

“If I live in Los Angeles, then I live in California.”


What is the ~p?

a)

I don't live in California

b)

I live in California

c)

I don't live in Los Angeles

d)

I live in Los Angeles

57.

Conditional Statement

“If I live in Los Angeles, then I live in California.”


What is the ~q?

a)

I don't live in California

b)

I live in California

c)

I don't live in Los Angeles

d)

I live in Los Angeles

58.

Conditional Statement p → qp\ \rightarrow\ q

What is the converse?

a)

∼q → ∼p\sim q\ \rightarrow\ \sim p

b)


q → pq\ \rightarrow\ p

c)

∼p → ∼q\sim p\ \rightarrow\ \sim q

59.

Conditional Statement p → qp\ \rightarrow\ q

What is the inverse?

a)

∼q → ∼p\sim q\ \rightarrow\ \sim p

b)


q → pq\ \rightarrow\ p

c)

∼p → ∼q\sim p\ \rightarrow\ \sim q

60.

Conditional Statement p → qp\ \rightarrow\ q

What is the contrapositive?

a)

∼q → ∼p\sim q\ \rightarrow\ \sim p

b)


q → pq\ \rightarrow\ p

c)

∼p → ∼q\sim p\ \rightarrow\ \sim q

61.

When you add 'not' to the converse it is called _____.

a)
Inverse
b)
Contrapositive
c)
Biconditional
d)
Conjunction
62.

What would be the contrapositive of the conditional statement?

"If you make a lot of money, then you can buy a nice car."

a)

If you can't buy a nice car, then you don't make a lot of money.

b)

If you don't make a lot of money, then you can't buy a nice car.

c)

If you can buy a nice car, then you make a lot of money.

d)

If you make a lot of money, then you can buy a nice car.

63.

Conditional statement: If it’s a right angle, then its measure is 90 degrees.


_________2. If the measure of the angle is not 90 degrees, then it is not a right angle.

a)

converse

b)

inverse

c)

contrapositive

64.

If a is related to b and b is related to c then a is related to c

a)

transative property

b)

subtraction POE

c)

Given

d)

Definition of right angle

65.

Name the property of equality or congruence that justifies this statement.

If RS‾≅TW‾ and TW‾≅PQ‾, then RS‾≅PQ‾If\ \overline{RS}\cong\overline{TW}\ and\ \overline{TW}\cong\overline{PQ},\ then\ \overline{RS}\cong\overline{PQ}  

a)

Symmetric 

b)

Transitive 

c)

Substitution 

d)

Reflexive 

66.
Name the property of equality or congruence that justifies going from the first statement to the second statement.
a)
Reflexive Property of Congruence
b)
Symmetric Property of Congruence
c)
Distributive Property
d)
Transitive Property of Congruence
67.

Angles in a plane that have their vertices and one side (ray) in common but no interior points in common are called ___.

a)
Adjacent angles
b)
Complementary angles
c)
Supplementary angles
d)
Vertical angles
68.
Which names a pair of adjacent angles?
a)
∠CXD and ∠FXE
b)
∠CXF and ∠DXE
c)
∠CXD and ∠DXE
69.
Inductive Reasoning means...
a)
Guessing
b)
Testing and observing patterns to make conjectures
c)
Explaining why
d)
Ura nok seblu!
70.

Statement 1: Mango is a fruit.

Statement 2: The box is full of fruits.

Conclusion: The box is full of mangoes.

a)

Logically true. Realistically may or may not be true

b)

Logically true. Realistically true

c)

Logically false. Realistically may or may not be true

d)

Logically false. Realistically true

71.

Statement 1: All mangoes are a fruits.

Statement 2: All fruits have seeds.

Conclusion: Mangoes have seeds.

a)

Inductive reasoning

b)

Deductive reasoning

c)

Inductivity

d)

Deductivity

72.

Statement 1: Mango is a fruit.

Statement 2: The box is full of fruits.

Conclusion: The box is full of mangoes.

a)

Inductive reasoning

b)

Deductive reasoning

c)

Inductivity

d)

Deductivity

73.

Unproven statement based on an observation is called a ________.

a)

Conjecture

b)
Theory
c)
Law
d)
Fact
74.

A=B

C=D

A+C=B+D

a)

Addition Property of Equality

b)

Segment Addition Axiom

c)

Angle Addition Axiom

75.
Which property is shown below?
__________________________
7n = 21 then n = 3
a)
Division Property
b)
Sorcery
c)
Reduction of Multiples
d)
Distributive Property
76.
If 2x - 5 = 10, then 2x = 15.
a)
Subtraction Property of Equality
b)
Addition Property of Equality
c)
Division Property of Equality
d)
Substitution
77.
If y/4 = 5, then y = 20
a)
Multiplication Property of Equality
b)
Division Property of Equality
c)
Addition Property of Equality
d)
Subtraction Property of Equality
78.

What property of equality is shown below?

10 + d = 25

10 + d -10 = 25 - 10

a)

addition property of equality

b)

subtraction property of equality

c)

division property of equality

d)

multiplication property of equality

79.

What property of equality is shown below?

25 + d = 36

25 + d - 25 = 36 - 25

a)

addition property of equality

b)

subtraction property of equality

c)

division property of equality

d)

multiplication property of equality

80.

Given: B is the midpoint of AC. What should you conclude?

a)

AB + BC = AC

b)

AB = BC

c)

A is the segment bisector of BC

d)

ABC is a straight angle

81.

Justify the conclusion. If XY = MN, then XY‾ ≅MN‾XY\ =\ MN,\ then\ \overline{XY}\ \cong\overline{MN}  .

a)

A-B-C-D Theorem

b)

Definition of Congruence

c)

CPCF Theorem

d)

Segment Congruence Theorem

82.
For any number a, a = a.
a)
Transitive Property         
               
b)
Reflexive Property             
c)
Symmetric Property           
d)
Substitution Property
83.
Name the property described:
If PQ = RS then RS = PQ
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Addition
84.
Name the property described:
If MN = OP and OP = QR, then MN = QR
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Addition
85.
Fill in the reason for number 3. 
a)
Reflexive property
b)
Symmetric Property
c)
Transitive property
d)
Substitution property
86.
Name the property of equality or congruence that justifies going from the first statement to the second statement.
a)
Reflexive Property of Congruence
b)
Symmetric Property of Congruence
c)
Distributive Property
d)
Transitive Property of Congruence
87.
What is the Symmetric property?
a)
If a=b, then  a can be substituted for b in any equation or expression
b)
a(b+c)=ab+ac
c)
 For any real number a, a=a .
d)
 If a=b, then b=a
88.
What is the Reflexive property?
a)
If a=b, then  a can be substituted for b in any equation or expression
b)
a(b+c)=ab+ac
c)
For any real number a, a=a .
d)
 If a=b, then b=a
89.
Identify the property used here:
39=39
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Substitution
90.
Identify the property used here:
If 31 = 2x - 5, then 2x - 5 = 31
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Substitution
91.
The Symmetric Property says that if AB = BC, then _________
a)
AB = BC
b)
BC = AB
c)
BC = CD
d)
A = B
92.
If ∠1 = ∠2 and ∠2 = ∠3, then ∠1 = ∠3.
a)
Addition Property of Equality
b)
Symmetric Property of Equality
c)
Reflexive Property of Equality
d)
Transitive Property of Equality
93.

Angle 6 and Angle 7 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

94.

Which angles are vertical angles?

a)

∠8 & ∠7\angle8\ \&\ \angle7

b)

∠8 & ∠6\angle8\ \&\ \angle6

c)

∠8 & ∠5\angle8\ \&\ \angle5

95.
Step 2 is what
a)
Substitution property (simplify)
b)
Multiplication property of equality
c)
Division property of equality
d)
Distributive Property
96.
What is step 4
a)
Substitution property (simplify)
b)
Addition property of equality
c)
Subtraction property of equality
97.
What is reason 2?
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality
98.
What is reason 1?
a)
Subtraction Property of Equality
b)
Transitive Property of Equality
c)
Given
d)
Prove
99.
What is reason 3?
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality
100.

If two angles are vertical, then they are congruent

a)

Vertical Angles Theorem

b)

Def. of vertical angles

101.

If two angles form a linear pair,
then they are supplementary
Linear pair →\rightarrow  Supplementary 

a)

Congruent supplements theorem 

b)

Supplement theorem 

102.

If ∠\angle  A is supplementary to ∠\angle  B and ∠\angle  C is supplementary to ∠\angle  B, then ∠\angle  A  ≅\cong   ∠\angle  C 

a)

Congruent Supplements Theorem 

b)

Supplement Theorem 

103.

Supply the second reason.

a)

Linear Pair Postulate

b)

Alternate Interior Angles Theorem

c)

Vertical Angles Theorem

d)

Corresponding Angles Postulate

104.
Fill in the reason for number 5. 
a)
Definition of congruent angles
b)
Angle Addition Postulate
c)
Substitution Property
d)
Transitive Property

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