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GEOMETRY REVIEW: Reasoning and Proof

Total questions: 50

Worksheet time: 1hrs 8mins

Name
Class
Date
1.
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. 
2.
Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse.
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. 
3.
What is the next term in the sequence:
1, 1, 2, 3, 5, 8, 13, ...
a)
17
b)
20
c)
21
d)
24
4.
What is the rule for this pattern?
32,36,40,44
a)
add 4
b)
multiply 2
c)
subtract 4
d)
divide by 2
5.
What comes next?
a)
The next term will have 16 blocks
b)
The next term will have 15 blocks.
c)
The next term will have 14 blocks.
d)
This is the end of the pattern.
6.

What allows you to say that AM = AM?

a)

Symmetric Property

b)

Reflexive Property

c)

Transitive Property

d)

Identity Property

7.
Which property says that if k = 3, then 3 = k?
a)
Substitution Property
b)
Reflexive Property
c)
Symmetric Property
d)
Transitive Property
8.
Which property states that if 2x = 14, then x = 7?
a)
Addition Property
b)
Subtraction Property
c)
Multiplication Property
d)
Division Property
9.
Which property says that if -5x - 1 = -11, then -5x = -10?
a)
Addition Property
b)
Subtraction Property
c)
Multiplication Property
d)
Division Property
10.
Which property says -7(x - 4) = -7x + 28?
a)
Addition Property
b)
Multiplication Property
c)
Division Property
d)
Distributive Property
11.

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

12.

Which reason justifies the statement below?


If <T and <U are complementary, then <T + <U = 90∘.

a)

Complements Theorem

b)

Definition of Right Angles

c)

Definition of Complementary Angles

d)

Congruent Complements Theorem

13.
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.
14.
Angles that share a common vertex and side
a)
Supplementary angles
b)
Adjacent angles
c)
Vertical angles
d)
Complementary angles
15.
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
16.
If M is the midpoint of AB, then AM=MB
a)
definition of angle bisector
b)
angle bisector theorem
c)
definition of midpoint
d)
midpoint theorem
17.
If ∠ABX ≅∠XBC, then BX bisects ∠ABC
a)
definition of angle bisector
b)
angle bisector theorem
c)
definition of midpoint
d)
midpoint theorem
18.
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
19.
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
20.

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

21.

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

22.
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.
23.

Which of the following is a counterexample:

All birds can fly

a)

Robin

b)

Pig

c)

Penguin

d)

Crow

24.

Which of the following is a counterexample:

Every prime number is an odd number

a)

2

b)

3

c)

4

d)

5

25.
If something is an angle, then it is acute. What is an appropriate counterexample?
a)
70⁰
b)
45⁰
c)
120⁰
d)
True. There is no counterexample.
26.

What is reason 2?

a)

Substitution Property

b)

Reflexive Property

c)

Subtraction Property

d)

Symmetric Property

27.

What is reason 5?

a)

Substitution Property of Equality

b)

Transitive Property of Equality

c)

Reflexive Property of Equality

d)

Symmetric Property of Equality

28.
a)
15
b)
60
c)
5
d)
7.5
29.
If angle ∠ABD is 67°. What is ∠DBC?
a)
113°
b)
90°
c)
67°
d)
23°
30.
What is the term that describes this pair of angles?
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
31.
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
32.

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

33.

What reason goes in blank #2

a)

Addition Property of Equality

b)

Distributive Property

c)

Multiplication Property of Equality

d)

Division Property of Equality

e)

Simplify

34.

What reason goes in blank #3

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

e)

Simplify

35.

What reason goes in blank #4

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

e)

Simplify

36.
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.
37.
What is, most of the time, the reason for the first step of a proof?
a)
Given
b)
Handed
c)
Donated
d)
Stated
38.
What is the supplement of 130 degrees
a)
70 degrees
b)
30 degrees
c)
50 degrees
d)
80 degrees
39.
If two lines are perpendicular then what  kind of angles do they form?
a)
right
b)
adjacent
c)
obtuse
d)
acute
40.

An unproven statement that is based on observations

a)

Deductive Reasoning

b)

Proof

c)

Theorem

d)

Conjecture

41.

A specific example that proves a statement is false.

a)

Conjecture

b)

Hypothesis

c)

Counterexample

d)

Proof

42.

A logical argument that uses deductive reasoning to show a statement is true.

a)

Theorem

b)

Proof

c)

Conjecture

d)

Transitive Property

43.

A statement that can be proven.

a)

Theorem

b)

Conclusion

c)

Inductive Reasoning

d)

Biconditional Statement

44.

The complement of an angle is 65 °. What is the measure of the angle?

a)

115°

b)

15°

c)

25°

d)

35°

45.
Find the value of x.
a)
52
b)
63
c)
53
d)
58
46.
What comes next in the pattern?
a)
up, down, right
b)
down, up, left
c)
up, right, down
d)
down, left, right
47.
Fill in the blank: The intersection of these two planes is ____
a)
line SR
b)
line MZ
c)
point M
48.
Complete the conjecture.
The sum of two negative numbers is ___________.
a)
positive
b)
negative
c)
odd
d)
even
49.
If Point C is the intersection of Segment FD and Segment AE, and Segments FD and AE are perpendicular, then what is the measure of Angle FCE?
a)
22 Degrees
b)
112 Degrees
c)
45 Degrees
d)
90 Degrees
50.

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

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