wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

Reasoning and Proof review CH. 2

Total questions: 56

Worksheet time: 2hrs 10mins

Name
Class
Date
1.
What is the next term in the sequence:
1, 1, 2, 3, 5, 8, 13, ...
a)
17
b)
20
c)
21
d)
24
2.

If something is an angle, then it is acute. What is an appropriate counter-example?

a)

70⁰

b)

45⁰

c)

120⁰

d)

True. There is no counterexample.

3.

If an animal is furry, then it is a hamster. What would be an appropriate counter-example?

a)

goldfish

b)

frog

c)

elephant

d)

cat

4.
Vertical angles are:
a)
Complimentary
b)
Supplementary
c)
Congruent
d)
Adjacent
5.
a)

not

b)

therefore

c)

and

d)

or

6.

A conjecture is:

a)

a false example in a compound statement

b)

a compound statement using and or nor

c)

a concluding statement reached during inductive reasoning

d)

an educated guess based on empirical data, collected by a calculator

7.

Which statement is a conjecture about the sum of two odd numbers?

a)

Their sum is even

b)

Their sum is 14

c)

Their sum is odd

d)

Their sum is positive

8.

Inductive Reasoning means...

a)

Guessing

b)

Testing and observing patterns to make conjectures

c)

Explaining why

d)

Adding numbers together

9.
What is the hypothesis of the given Conditional Statement?
a)
Jimmy will go to Orlando
b)
Jimmy goes on vacation
c)
Jimmy will go to Orlando
d)
Who is Jimmy?
10.
What is the converse to this statement?
a)
If it isn't dark outside, then it is not night.
b)
If it is night, then it is dark outside
c)
If it is not night, then it is not dark outside.
d)
It is night.
11.
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.
12.
What is the contrapositive to this?
a)
If the food is not cooked, then it is not in the oven.
b)
If the food is not in the oven, then it is not cooked.
c)
If the food is cooked, then its in the oven.
d)
If food is not in the oven, then its cooked.
13.
What is the conclusion to this?
a)
Clarkson will be the coolest
b)
Clarkson will not be the coolest
c)
Clarkson gives us Mountain Dew
d)
Clarkson will not give us Mountain Dew
14.
What is this?
a)
Conditional Statement
b)
Inverse
c)
Converse
d)
THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS!
15.
What does this mean?
a)
Conditional Statement
b)
Inverse Statement
c)
Converse Statement
d)
Contrapositive Statement
16.
What is this mean?
a)
Conditional Statement
b)
Converse
c)
Inverse
d)
Contrapositive
17.
All chickens that we have seen have been brown; so, all chickens are brown. 
a)
Deductive
b)
Inductive
18.
All bears are mammals, all mammals have kidneys; therefore all bears have kidneys. 
a)
Deductive
b)
Inductive
19.
Original: If Emily is not late to class, then she will not be marked tardy.
What is this? If Emily is late to class, then she will be marked tardy.
a)
Converse
b)
Inverse
c)
Contrapositive
d)
Negation
20.

What is the REASON for Statement #6?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

21.
When starting a proof you always start with:
a)
Given information
b)
What it wants you to prove
c)
Equal Angles
d)
Linear Angles
22.
What is the missing statement in the proof?
a)
Subtraction p.o.e.
b)
Substitution p.o.e.
c)
Transitive p.o.e.
d)
Symmetric p.o.e.
23.
AB = AB
a)
Reflexive POE
b)
Transitive POE
c)
Symmetric POE
d)
Distributive POE
24.
a)
addition POE
b)
angle addition POE
c)
subtraction POE
d)
substitution POE
25.
Which property says that if k = 3, then 3 = k?
a)
Substitution Property
b)
Reflexive Property
c)
Symmetric Property
d)
Transitive Property
26.
Which property states that if 2x = 14, then x = 7?
a)
Addition Property
b)
Subtraction Property
c)
Multiplication Property
d)
Division Property
27.
Which property says -7(x - 4) = -7x + 28?
a)
Addition Property
b)
Multiplication Property
c)
Division Property
d)
Distributive Property
28.

Which reason justifies the statement below?


If MN = PQ, then MN ≅ PQ.

a)

Definition of Congruence

b)

Definition of Midpoint

c)

Reflexive Property

d)

Symmeric Property

29.
Which is the correct reason for statements 2 and 4 in the proof?
a)
Corresponding Angles
b)
Substitution
c)
Definition of Congruent Angles
d)
Vertical Angles are congruent.
30.
Which is an example of transitive property?
a)
If a=b and b=m, then a = m.
b)
If a=b then b=a.
c)
Given a number a, a=a
d)
If a=5, then 3a-5 = 3(5)-5
31.
If ∠ABX ≅∠XBC, then BX bisects ∠ABC
a)
definition of angle bisector
b)
angle bisector theorem
c)
definition of midpoint
d)
midpoint theorem
32.
If Y is between X and Z, the XY+YZ = XZ
a)
angle addition postulate
b)
segment addition postulate
c)
addition property
d)
definition of midpoint
33.
If W is on the interior of ∠XYZ,
then m∠XYW + m∠WYZ = m∠XYZ
a)
angle addition postulate
b)
segment addition postulate
c)
addition property
d)
definition of angle bisector
34.

If AC ⊥ XD , then m∠CXD = 90

a)

definition of perpendicular lines

b)

if 2 lines form ≅ adj. ∠s, then they are perpendicular

c)

if 2 lines are perpendicular, then they form ≅ adj. ∠s

d)

definition of a right angle

35.

If ∠1 is supp. to ∠4, and ∠2 is supp to ∠4, then ∠1≅∠2

a)

≅ Supplements Theorem

b)

≅ Complements Theorem

c)

Supplements Theorem

d)

Complements Theorem

36.
When can a biconditional statement be written?
a)
When the inverse and the converse are both true
b)
When the original statement (conditional statement) & the contrapositive are both true.
c)
When the converse is true.
d)
When the original statement (conditional statement) and the converse are both true.
37.

Which of the following is a counterexample:

Every prime number is an odd number

a)

2

b)

3

c)

4

d)

5

38.

What is reason 5?

a)

Substitution Property of Equality

b)

Transitive Property of Equality

c)

Reflexive Property of Equality

d)

Symmetric Property of Equality

39.
a)
15
b)
60
c)
5
d)
7.5
40.
If angle ∠ABD is 67°. What is ∠DBC?
a)
113°
b)
90°
c)
67°
d)
23°
41.
What is the reason for the statement below?
Given: m∠1 = 63
m∠1 + m∠2 = 90
Prove: 63 + m∠2 = 90
a)
Reflexive Property of Equality
b)
Symmetric Property of Equality
c)
Transitive Property of Equality
d)
Substitution Property of Equality
42.

What reason goes in blank #1

a)

Addition Property of Equality

b)

Distributive Property

c)

Multiplication Property of Equality

d)

Division Property of Equality

e)

Simplify

43.
What does the word BISECT mean?
a)
To cut something into more than five pieces.
b)
It is a plane with two sets of wings.
c)
A shape that has three sides. 
d)
To cut something into two congruent pieces or in half.
44.
If two lines are perpendicular then what  kind of angles do they form?
a)
right
b)
adjacent
c)
obtuse
d)
acute
45.

A specific example that proves a statement is false.

a)

Conjecture

b)

Hypothesis

c)

Counterexample

d)

Proof

46.

A statement that can be proven.

a)

Theorem

b)

Conclusion

c)

Inductive Reasoning

d)

Biconditional Statement

47.
Find the value of x.
a)
52
b)
63
c)
53
d)
58
48.
Fill in the blank: The intersection of these two planes is ____
a)
line SR
b)
line MZ
c)
point M
49.

Which equation would you use to find the value of x?

a)

3x = 2x +16

b)

3x + 2x + 15 = 180

c)

3x + 2x + 15 = 90

d)

3x + 2x + 15

50.

Which of the following statements is written in biconditional form?

a)

If you do not vote, then you are not at least 18 years old.

b)

You can vote if and only if you are 18 years old.

c)

If you are 18 years old, then you can vote.

d)

If you can vote, then you are 18 years old.

51.
Using the Law of Detachment, what can you conclude?
If you earn more than $14, then you can buy a new CD.
You earn $15.
a)
you can buy a new CD
b)
you cannot buy a new CD
c)
no conclusion can be made
d)
you earn more than $14
52.
Use Law of Syllogism to make a conclusion.
If the perimeter of a square is 20 ft, then the length of a side is 5 ft.
If the length of a side of a square is 5 ft, then the area is 25 ft2.
a)
If the side of a square is 5 ft, then the perimeter is 20 ft.
b)
If the perimeter of a square is 20 ft, then the area is 25 ft2
c)
If the area of a square is 25 ft2, then the side length is 5 ft. 
d)
If the are of a square is 25 ft2, then the perimeter is 20 ft.
53.
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
54.

What is the missing statement in the proof?

a)

2m∠ABD=m∠ABD+m∠ABD

b)

m∠ABD=m∠DBC

c)

m∠ABC=m∠ABC

d)

m∠ABD+m∠ABD=m∠ABD+m∠DBC

55.
What is the missing statement in the proof?
a)
m∠ABD+m∠DBC=m∠ABC
b)
m∠ABD=m∠DBC
c)
m∠ABC=m∠ABC
d)
none of the other choices are correct
56.

What is the missing reason in the proof?

a)

Addition

b)

Segment Addition Postulate

c)

Substitution

d)

Transitive Property

Similar Resources on Wayground

Chapter 5 Test Practice

55 questions

Chapter 5 Test Practice

quiz

Worksheet

•

9th - 12th Grade

Algebra 1 Regents Vocab

60 questions

Algebra 1 Regents Vocab

quiz

Worksheet

•

8th - 9th Grade

Algebra- Units 1 - 4 Review

60 questions

Algebra- Units 1 - 4 Review

quiz

Worksheet

•

9th Grade

Chapter 6 - Quadrilaterals

53 questions

Chapter 6 - Quadrilaterals

quiz

Worksheet

•

9th - 12th Grade

Geometry Semester 1 Mod Exam

60 questions

Geometry Semester 1 Mod Exam

quiz

Worksheet

•

10th Grade

(GEO) 6.1 & 6.2 Review

61 questions

(GEO) 6.1 & 6.2 Review

quiz

Worksheet

•

9th - 10th Grade

Algebraic Reasoning Fall Semester Review

60 questions

Algebraic Reasoning Fall Semester Review

quiz

Worksheet

•

9th - 12th Grade

Topic 11 Algebra Statistics Review

56 questions

Topic 11 Algebra Statistics Review

quiz

Worksheet

•

9th - 12th Grade