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Geometry CP Chapter 2 Review

Total questions: 85

Worksheet time: 4hrs 36mins

Name
Class
Date
1.

Underline the hypothesis and italicize the conclusion in each statement.

a)

If your dog eats Purina, then he’ll stay happy and healthy.

b)

If your dog eats Purina, then he’ll stay happy and healthy.

c)

If your dog eats Purina, then he’ll stay happy and healthy.

d)

If your dog eats Purina, then he’ll stay happy and healthy.

2.

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.

3.

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


What is the inverse of this statement?

a)

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

b)

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

c)

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

d)

A rectangle is also a quadrilateral.

4.

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


What is the contrapositive of this statement?

a)

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

b)

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

c)

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

d)

A rectangle is also a quadrilateral.

5.

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


What is a counterexample of this statement?

a)

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

b)

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

c)

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

d)

A rectangle is also a quadrilateral.

6.

The statement "an angle is a right angle if and only if its measure is 90o" is an example of what type of statement?

a)

Conditional

b)

Conjecture

c)

Biconditional

7.

Reasoning based on facts, definitions, accepted properties, and the laws of logic is called ____________ reasoning.

a)

Inductive

b)

Deductive

8.

Reasoning based on specific examples and patterns used to form conjectures is called ______________ reasoning.

a)

Inductive

b)

Deductive

9.

Using the Law of Detachment, draw a conclusion based on the statements given:

If a plane flies to China, then it will be a long flight. Sarah bought a ticket to China.

a)

Sarah will get stuck in the security line.

b)

Sarah will have a long flight.

c)

Sarah will need to bring a neck pillow and headphones.

d)

Sarah will get stuck with a middle seat on the plane.

10.

Using the Law of Syllogism, write a new conditional statement that follows from the pair of true statements.


If you study, then you will pass the test. If you pass the test, then you will pass the class.

a)

If you study, then you will pass the class.

b)

If you pass the test, then you should study.

c)

If you pass the class, then you will pass the test.

d)

If you study, then you will pass the test.

11.
All chickens that we have seen have been brown; so, all chickens are brown. 
a)
Deductive
b)
Inductive
12.
All bears are mammals, all mammals have kidneys; therefore all bears have kidneys. 
a)
Deductive
b)
Inductive
13.
Using deductive reasoning, which of the following completes the statement to form a valid conclusion?
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, then...
a)
Look out for the snowplows while driving to school.
b)
The big test will not be given today.
c)
The roads will be hard to drive on.
d)
You should call the school to see if school is canceled.
14.
What are the missing numbers in this pattern?
12, 15, ___, 21, ____, 27
a)
18,23
b)
18, 24
c)
17, 25
d)
17, 24
15.
a)
1
b)
15
c)
20
d)
12
16.
Where would the next red square be?
a)
bottom left
b)
top right
c)
top left
d)
bottom right
17.
Used to prove that a conjecture is false.
a)
Counterexample
b)
Inductive Reasoning
c)
Concluding statement
d)
Conjecture
18.

Angles whose measure sum up to 180 degrees.

a)

Vertical

b)

Adjacent

c)

Complementary

d)

Supplementary

19.
Two angles added together to produce 90 degrees
a)
Supplementary
b)
Complementary
c)
Right
d)
Vertical
20.
How many degrees is a straight angle?
a)
90
b)
360
c)
180
d)
145
21.
Are these angles an example of complementary, supplementary, or neither?
a)
Complementary
b)
Supplementary
c)
Neither
22.
Find the value of x. 
a)
13
b)
8.6
c)
5
d)
130
23.
Find the value of x. 
a)
41
b)
44
c)
128
d)
38
24.
If ∠A and ∠B are supplementary, and the measure of ∠A is 120°, what is the measure of ∠B?
a)
180
b)
50
c)
60
d)
80
25.
Which are pairs of vertical angles?
a)
∠COB & ∠COA
b)
∠AOD & ∠AOC
c)
∠COB & ∠AOD
d)
∠BOD & ∠AOD
26.
Vertical angles are always
a)
acute
b)
total 180 degrees
c)
congruent (equal measures)
d)
adjacent angles
27.
Find the missing angle.  Find x.
a)
20o
b)
70o
c)
160o
d)
180o
28.
Find the value of x.
a)
14
b)
60
c)
35
d)
180
29.

Underline the hypothesis and italicize the conclusion in each statement.

a)

If your dog eats Purina, then he’ll stay happy and healthy.

b)

If your dog eats Purina, then he’ll stay happy and healthy.

c)

If your dog eats Purina, then he’ll stay happy and healthy.

d)

If your dog eats Purina, then he’ll stay happy and healthy.

30.
Using the statements:
If it is Friday, then I will get paid.
It is Friday.
Write the conclusion.
a)
It is not Friday
b)
It is Friday
c)
I will not get paid
d)
I will get paid
31.
Which is a valid conclusion from these statements?
If a quadrilateral is a rhombus, then it is a parallelogram.
If a quadrilateral is a parallelogram, then its opposite angles are congruent.
a)
Opposite angles of a quadrilateral are congruent
b)
Opposite angles of a rhombus are congruent
c)
Every quadrilateral is a rhombus
d)
Every parallelogram is a rhombus
32.
Which statement is a valid conclusion based on the argument?
If a polygon is a regular pentagon, then the polygon has exactly five congruent angles.
The polygon is a regular pentagon.
a)
Therefore, the polygon is a rectangle.
b)
Therefore, the polygon is a regular quadrilateral.
c)
Therefore, the polygon has exactly five congruent angles.
d)
Therefore, the polygon has congruent sides.
33.
(1) If you drive safely, then the life you save may be your own.
(2) AJ drives safely.
(3)  The life AJ saves may be his own.
Is statement (3) logical given the Law of Detachment, Syllogism, Contrapositive, or is it invalid?
a)
Law of Detachment
b)
Law of Syllogism
c)
Law of Contrapositive
d)
invalid
34.
p→q
q→r
∴p→r
Which law is modeled?
a)
Law of Syllogism
b)
Law of Detachment
c)
Law of Contrapositive
d)
Law of Shannon
35.
If an angle is 40⁰, then it is acute.
∠A is 40⁰.
Using the Law of Detachment, what is the logical statement to conclude?
a)
∠A is complementary to ∠B
b)
∠A is acute.
c)
∠A is obtuse.
d)
∠A is 40⁰
36.
Write the if-then statement that follows from the pair of true statements. If the sun is shining, then it is a beautiful day.  If it is a beautiful day, then we will have a picnic.
a)
If the sun is shining, then it is a beautiful day.
b)
If it is a beautiful day, then the sun is shining.
c)
If the sun is shining, then we will go on a picnic.
d)
If we go on a picnic, then the sun is shining.
37.
What can be concluded from the following statements?
If Tom goes fishing then he brings a pole.
If Tom brings his pole then he catches a fish.
a)
If Tom goes fishing then he catches a fish.
b)
If Tom brings his pole then he goes fishing
c)
 If Tom catches a fish then he brought his pole.
d)
If Tom brings his pole then he catches a fish.
38.
By the Law of Detachment, what can you conclude from the statement? 
If two planes intersect, then their intersection is a line.
Planes S and T intersect.
a)
their intersection is a line
b)
their intersection is a point
c)
no conclusion can be made
d)
the planes are parallel
39.
What is the converse of the statement:
If an animal is a dog, then it does not moo.  
a)
If an animal is not a dog, then it does moo
b)
If an animal can moo, then it is not a dog
c)
If an animal does not moo, then it is a dog
d)
An animal is a dog if and only if it can moo
40.
Answer these questions by figuring out which of the four figures belongs on the spot of the question mark.
Latin Square Rules
1. A row or column never contains the same figure/number twice.
2. Every row and column contain the same figures/numbers.
a)
a
b)
b
c)
c
d)
d
41.
Identify the property of equality.
If 9=x, then x=9
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Substitution
42.
What is Addition property of equality
a)
a.   If a=b, then a+c=b+c
b)
b.  If a=b, then a-c=b-c
c)
c.  If a=b, then ac=bc
d)
d.  If a=b, then a/c=b/c
43.
Identify the property used here:
39=39
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Substitution
44.
Simplify the expression with the distributive property
6(x + 3)
a)
6x + 3
b)
6x + 18
c)
x + 3
d)
9x
45.
What is always the 1st statement in reason column of a proof?
a)
Prove
b)
Given
c)
Reason
d)
Statement
46.
Step 2 is what
a)
Substitution property (simplify)
b)
Multiplication property of equality
c)
Division property of equality
d)
Distributive Property
47.
What is step 4
a)
Substitution property (simplify)
b)
Addition property of equality
c)
Subtraction property of equality
48.
What is step 6
a)
Subtraction property of equality
b)
Addition property of equality
c)
Division property of equality
49.
Step 1 is what
a)
addition property of equality
b)
given
c)
subtraction property of equality
d)
prove
50.
What is reason 2?
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality
51.
What are the missing numbers in this pattern?
23, 33, ___, 53, ___, 73
a)
32, 62
b)
42, 63
c)
43, 63
d)
42, 62
52.
    2x + 6 = 14
a)
x = 4
b)
x = 10
c)
x = -4
d)
x = 3
53.
Solve  3x - 7 = 32
a)
13
b)
-13
c)
12
d)
-12
54.

On a standard traffic light, is green on the top or the bottom?

a)

Top

b)

Bottom

55.

How many states are there in the United States of America?

a)

49

b)

51

c)

50

d)

48

56.

In which hand is the Statue of Liberty's torch?

a)

Left

b)

Right

c)

She isn't holding one

57.

What two numbers on a phone dial or keypad do not have letters by them?

a)

0

b)

9

c)

2

d)

1

58.

When you walk, does your left arm swing with your right or left leg?

a)

Left

b)

Right

59.

Which way do fans rotate as you are looking at them?

a)

Clockwise

b)

Counterclockwise

60.

How many sides does a stop sign have?

a)

6

b)

10

c)

none, it is a circle

d)

8

61.

How many sides are there on a standard No.2 pencil?

a)

4

b)

none, it is cylindrical

c)

6

d)

8

62.

How many hot dog buns are in a standard package?

a)

4

b)

6

c)

8

d)

10

63.

How many curves are there on a standard paper clip?

a)

4

b)

2

c)

3

64.
What is it called when points lie on the same line.
a)
Midpoint
b)
Coplanear
c)
Segment Bisector
d)
Collinear
65.
What are the arrows pointing to?
a)
Ray
b)
Endpoints
c)
Midpoint
d)
Vertex
66.
Consists of 2 endpoints and all the points in between.
a)
Ray
b)
Line
c)
Line Segment
d)
Angle
67.
What is this Symbol called?
a)
Congruent
b)
Equal
c)
Parallel Lines
d)
Angle
68.
Points that lie in the same plane.
a)
Colinear
b)
Intersection
c)
Parallel Planes
d)
Coplanear
69.

a straight path that has no thickness and extends forever

a)

point

b)

line

c)

ray

d)

plane

70.

Two rays that have a common endpoint and form a line.

a)

Linear Pair

b)

Opposite Rays

c)

Right Angle

d)

Supplementary Angles

71.

flat surface that has no thickness and extends forever.

a)

point

b)

line

c)

plane

d)

ray

72.

part of a line that starts at an endpoint and extends forever in one direction

a)

line

b)

segment

c)

ray

d)

vertex

73.
This is a(n):
a)
Line
b)
Ray
c)
Angle
d)
Line Segment
74.
This is a(n):
a)
Line
b)
Ray
c)
Angle
d)
Line Segment
75.
Given that C is between A and B, which Segment Addition statement is correct?
a)
AC + AB = CB
b)
AC + CB = AB
c)
AB + BC = AC
d)
CA + CB = CA
76.
Since all humans are mortal, and I am human, then I am mortal. 
a)
Deductive
b)
Inductive
77.
It is dangerous to drive on icy streets.  The streets are icy now so it is dangerous to drive now. 
a)
Deductive
b)
Inductive
78.
Snakes are reptiles and reptiles are cold blooded; therefore, snakes are cold blooded. 
a)
Deductive
b)
Inductive 
79.
Obtuse angles are greater than 90 degrees.  This angle is 110 degrees, so it is obtuse. 
a)
Deductive
b)
Inductive
80.
All observed houses on South Street have roofs that are falling apart.  Sherry lives on South Street.  Her roof is falling apart. 
a)
Deductive
b)
Inductive
81.
What conclusion can be drawn from the following statements?
If the stereo is on, then the volume is loud.  
If the volume of the stereo is loud, then the neighbors will complain.
a)
If the neighbors complain, then the stereo will be loud.
b)
If the stereo is on, then the neighbors will complain.
c)
If the stereo is volume is loud, then the stereo is on.
d)
If the stereo is on, then the volume is loud.
82.
IF Jimmy named his first child Thing1
AND his second child Thing2
THEN He will name his 3rd child Thing3
a)
Inductive
b)
Deductive
83.
IF an apple a day keeps the doctor away.
AND Joe ate an apple every day.
THEN Dr. Dre stayed away.
a)
Inductive
b)
Deductive
84.
IF All even numbers are divisible by 2
AND 28 is even
THEN 28 is divisible by 2
a)
Inductive
b)
Deductive
85.
IF 3...6...9...12...
AND 24...27...30...?
THEN the next term is going to be 33
a)
Inductive
b)
Deductive