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1st Quarter Exam Review

Total questions: 116

Worksheet time: 3hrs 40mins

Name
Class
Date
1.
Points that lie on the same line are _________.
a)
coplanar
b)
collinear
c)
parallel
d)
perpendicular
2.
A line is named by...
a)
Any 2 points on the line, or a lowercase script letter.
b)
Any 3 points on the line.
c)
Any 1 point on the line.
d)
Any 3 points on the line, or a uppercase script letter.
3.

An example of coplanar points

a)

D, E, F

b)

B, E, C

c)
M, E, C
d)
A, F, E
4.
True or False: Points A, B, and C are collinear.
a)
True
b)
False
5.

Which of the following correctly names the figure shown?

a)
b)
c)
d)
6.
Give another name for line b
a)

line a

b)

line R

c)

line KL

d)

line HK

7.

What is part of a line that has one endpoint and goes on and on in one direction?

a)

Point

b)

Line

c)

Line Segment

d)

Ray

8.

What is an exact location in space?

a)

ray

b)

point

c)

line

d)

line segment

9.

What is part of a line that has two endpoints?

a)

Line

b)

Line Segment

c)

Ray

d)

Point

10.

Which word describes a straight path that continues in both directions forever?

a)

Line

b)

Line Segment

c)

Ray

d)

Point

11.

Which term describes this picture?

a)

Point

b)

Line

c)

Line Segment

d)

Ray

12.

Which is longer a ray or a line?

a)

ray

b)

line

c)

neither, both have an infinite length

13.

Which is longer a ray or a segment?

a)

ray

b)

segment

c)

neither, both have an infinite length

14.

AB→ is longer than CD→\overrightarrow{AB}\ is\ longer\ than\ \overrightarrow{CD}  

a)

always

b)

sometimes

c)

never, all rays go on infinitely

15.

↔AB is longer than BC→\leftrightarrow AB\ is\ longer\ than\ \overrightarrow{BC}  

a)

always

b)

sometimes

c)

never, both have an infinite length

16.
Which diagram shows a correct mathematical construction using only a compass and a straightedge to bisect an angle?
a)
A
b)
B
c)
C
d)
D
17.
What geometric construction is shown in the diagram below?
a)
an angle bisector
b)
a line parallel to a given line
c)
an angle congruent to a given angle
d)
a perpendicular bisector of a segment
18.
Name the construction.
a)
Angle bisector
b)
Di-sect an angle
c)
Copy an angle
d)
Vertical angles
19.

Name the construction

a)

Copy a line

b)

Copy a line segment

c)

Copy an angle

d)

Angle bisector

20.
What type of construction do you see?
a)
midpoint
b)
angle bisector
c)
perpendicular bisector
d)
altitude
21.
Name the construction.
a)
Angle bisector
b)
Perpendicular line to a point not on a line
c)
Angle median
d)
Perpendicular bisector of a line segment
22.
What is being constructed?
a)
A congruent segment
b)
Parallel Lines
c)
Perpendicular Bisector
d)
Angle Bisector
23.
Which one is the correct construction for a perpendicular bisector?
a)
1
b)
2
c)
3
d)
4
24.

Does the image show a Dilation?

a)

Yes

b)

No, it's a translation.

c)

No, it's a reflection.

25.
Definition: The figure after a transformation has occurred. 
a)
Pre-image
b)
Image
c)
Translation
d)
Reflection
26.
Definition: The figure before a transformation has occurred. 
a)
Pre-image
b)
Image
c)
Translation
d)
Reflection
27.

What is the transformation?

a)

Dilation, with scale factor 2

b)

Translation

c)

Rotation

d)

Reflection over the y-axis

28.

A slide is also called a ______.

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

29.

A turn is also called a ______.

a)

Reflection

b)

Translation

c)

Dilation

d)

Rotation

30.

Identify this transformation.

a)

Dilation

b)

Rotation

c)

Translation

d)

Reflection

31.

Is the picture being reflected across the y-axis or the x-axis?

a)

y-axis

b)

x-axis

32.

Describe the Transformation

a)

Translation

b)

Reflection

c)

Rotation

d)

Dilation

33.

Describe the transformation

a)

Reflection

b)

Translation

c)

Rotation

d)

Dilation

34.
Identify the transformation.
a)
Reflection across y axis
b)
Reflection across x-axis
c)
180 Rotation
d)
Translation 2 units down
35.

Which of the following transformations do not preserve distance?

*Preserves distance means all the side lengths in the shape stay the same after the transformation.

a)

Counterclockwise Rotation

b)

Vertical translation

c)

Dilation with scale factor of 3

d)

Reflection over the x-axis

36.

Example 2: Find x if the length of PR is 45 units in length. [Refer to the figure]

37.

Suppose AC =  48, find the value of x to find the length of AB.

38.

Find the length indicated.

(a)  

39.

Which transformations preserves angle measures?

a)

Dilation

b)

Translation

c)

Reflection

d)

Rotations

40.

Which transformations preserves distance?

*preserves distance means all the side lengths will remain the same after a transformation.

a)

Dilation

b)

Translation

c)

Reflection

d)

Rotations

41.

Identify the property:

If 31 = 2x - 5, then 2x - 5 = 31

a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Substitution
42.

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 

43.
AB = AB
a)

Reflexive Property

b)

Transitive Property

c)

Symmetric Property

d)

Congruent Line Segment Property

44.
When starting a proof you always start with:
a)
Given information
b)
What it wants you to prove
c)
Equal Angles
d)
Linear Angles
45.

Name the property that this statement illustrates:

If g = h, then h = g.

a)

Symmetric Property Of Equality

b)

Subtraction Property Of Equality

c)

Symmetric Property of Congruence

d)

Reflexive Property of Equality

46.
Which property justifies the work in solving this equation?
a)
Addition Property of Equality
b)
Additive Inverse Property
c)
Identity Property of Addition
d)
Subtraction Property of Equality
47.
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
48.
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)

If ∠1≅∠3, then ∠1≅∠3If\ \angle1\cong\angle3,\ then\ \angle1\cong\angle3  

d)
 If a=b, then b=a
49.
What is the Transitive property?
a)
 If a=b, then  a can be substituted for b in any equation or expression
b)
a(b+c)=ab+ac
c)
 If a=b, and b=c, then a=c
d)
If a=b, then b=a
50.

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.

51.

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

If an object is a computer, then it

has a hard drive.

a)

If an object is not a computer, then it does not have a hard drive.

b)

If an object does not have a hard drive, then it is not a computer.

c)

If an object has a hard drive, then it is a computer.

d)

There is no inverse of the statement.

52.

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

If a species walks on two feet, then

it is human.

a)

If a species is not human, then it does not walk on two feet.

b)

If a species is human, then it walks on two feet.

c)

If a species does not walk on two feet, then it is not human.

d)

There is no contrapositive of the statement.

53.

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

If a gem is a ruby, then it is red.

a)

If a gem is not red, then it is not a ruby.

b)

If a gem is not a ruby, then it is not red.

c)

If a gem is red, then it is a ruby.

d)

There is no contrapositive statement.

54.

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

An angle is acute if and only if (iff) it has a measure less than 90°.

a)

Biconditional

b)

Converse

c)

Inverse

d)

Contrapositive

55.

If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?

If an angle does not have a measure less than 90°, then it is not acute.

a)

Contrapositive

b)

Converse

c)

Biconditional

d)

Inverse

56.

Find X 

57.

Find X

58.

Which of the following is a counterexample to the following conjecture? If x2 = 4x^2\ =\ 4 , then x = 2

a)

x = 4

b)

x = -2

c)

x = 2

d)

x = -4

59.
If an animal is furry, then it is a hamster. What would be an appropriate counterexample?
a)
goldfish
b)
frog
c)
elephant
d)
cat
60.
If it is a fraction, then it is a number between zero and one. What is an appropriate counterexample?
a)
2/3
b)
4/5
c)
1/2
d)
3/2
61.
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
62.
If it is an angle, then it is acute. What is an appropriate counterexample?
a)
70⁰
b)
45⁰
c)
120⁰
d)
True. There is no counterexample.
63.

Give the Reason for #1.

a)

Given

b)

Segment Addition Property

c)

Addition Property of Equality

d)

PQ + QR = PR

e)

Transitive Property of Equality

64.

What is the correct reason for

Reason #3?

a)

Definition of a Straight Angle

b)

Prove

c)

Definition of a Supplementary Angles

d)

Transitive Property

65.

What is the reason for step 4?

a)

Prove

b)

Multiplication Property

c)

Division Property

d)

Addition Property

66.
If M is the midpoint of AB, then AM = MB
a)

Addition Property of Equality

b)

Definition of Midpoint 

c)

Reflexive Property of Equality

d)

Symmetric Property of Equality

67.

Which condition will prove that line l is parallel to line m?

a)

∠1 ≅ ∠3

b)

∠3 ≅ ∠5

c)

∠1 ≅ ∠6

d)

∠6 ≅ ∠5

68.

Which could be used to prove the lines are parallel?

a)

Converse of the Alternate Interior AnglesTheorem

b)

Converse of the Same-Side (Consecutive Interior) Angles Postulate

c)

Alternate Interior Angles Theorem

d)

Cannot be proved parallel

69.

Which of the following is the reason the two lines are parallel?

a)

The Converse of the Corresponding Angles Theorem

b)

The converse of the Alternate Interior Angles Theorem

c)

The converse of the Alternate Exterior Angles Theorem

d)

The Converse of Consecutive Interior (Same-Side Interior) Angles Theorem

e)

Not Enough Information to Prove Parallel

70.

Solve for x.

a)

5

b)

9

c)

4

d)

10

71.

Find the measure of the angle (7x-3).

a)

100

b)

60

c)

55

d)

65

72.

If ∠5 ≌∠7, which of the following can be concluded?

a)

r is parallel to s by converse of Alternate Interior Angles Thm.

b)

u is parallel to v by Converse of Corresponding Angles Thm

c)

s is ⊥ u by Converse of Alternate Interior Angles Thm

d)

v ⊥ r by Converse of Alternate Exterior Angles Thm

73.

Justify the following statement:

a)

Subtraction Property of Equality

b)

Transitive Property

c)

Definition of Congruent

d)

Segment Addition Postulate

74.

Justify the following statement

a)

Angle Addition Postulate

b)

Definition of Complementary Angles

c)

Definition of Congruent

d)

Substitution Property

75.

Justify the following statement

a)

Definition of Vertical Angles

b)

Definition of Congruent

c)

Definition of Linear Pair

d)

Angle Addition Postulate

76.

Justify the following statement

a)

Substitution Property

b)

Segment Addition Postulate

c)

Definition of Midpoint

d)

Definition of Congruent

77.

Which option best fills in the blank in the proof?

a)

Substitution Property

b)

Definition of Linear Pair

c)

Definition of Supplementary Angles

d)

Angle Addition Postulate

78.
What is the reason?
a)
Transitive 
b)
Substitution
c)
Middle Man
d)
Replacing 
79.

Supply the second reason.

a)

Linear Pair Postulate

b)

Alternate Interior Angles Theorem

c)

Vertical Angles Theorem

d)

Corresponding Angles Postulate

80.

Supply the third reason.

a)

Vertical Angle Theorem

b)

Corresponding Angles Postulate

c)

Alternate Interior Angles Postulate

d)

Same Side Interior Angles Theorem

81.

The last statement is ∠4≅∠6\angle4\cong\angle6  . What is the last reason?

a)

Prove

b)

Definition of congruent angles

c)

Transitive Property

d)

Alternate Interior Angles Theorem

82.

3) What is the reason for statement 2?

a)

Given

b)

Vertical Angle Theorem

c)

Corresponding Angles Postulate

d)

Alternate Interior Angles Theorem

83.

13) What is the reason for Statement 4?

a)

Substitution

b)

Converse of Alternate Exterior Angles Theorem

c)

Converse of Corresponding Angles Postulate

d)

Converse of Same-side Interior Angles Theorem

84.

What is the relationship of ∠4 and ∠7?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

Linear Pair

85.

What is the relationship of ∠16 and ∠8?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

Linear Pair

86.
Question Image

If angle 4 is 65 degrees, match the other angles with their measures

a)

angle 7

1.

not enough information

b)

angle 12

2.

65

c)

angle 13

3.

115

87.
Question Image

If angle 7 is 100 degrees, match the other angles with their measures

a)

not enough information

1.

angle 13

b)

100

2.

angle 9

c)

80

3.

angle 10

88.

What is the relationship of ∠3 and ∠7?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

Vertical Angles

89.

What is the relationship of ∠12 and ∠14?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

Vertical Angles

90.

If you know that angles 1 and 2 are vertical, what else do you know?

a)

Angles 1 and 2 are congruent

b)

Angles 1 and 2 are supplementary

c)

Angles 1 and 2 are right angles

d)

Angles 1 and 2 are corresponding angles

91.

When two parallel lines are cut by a transversal, all pairs of angles created are either _________ or _________.

a)

Congruent, supplementary

b)

Congruent, complementary

c)

Supplementary, complementary

d)

Corresponding, vertical

92.

If two lines are cut by a transversal, how might you show that the two lines are parallel?

a)

Show that the corresponding angles are congruent

b)

Show that the vertical angles are congruent

c)

Show that the same side interior angles are congruent

d)

Show that the corresponding angles are supplementary

93.

Which could be used to prove the lines are parallel?

a)
Vertical
b)
Alternate Interior
c)
Corresponding
d)
Cannot be proved parallel
94.

Which could be used to prove the lines are parallel?

a)
Corresponding
b)
Alternate Interior
c)
Linear Pair
d)
Cannot be proved parallel
95.

If ∠3 ≌∠9, which of the following can be concluded?

a)

r is parallel to s by Converse of Corresponding Angles Thm.

b)

u is parallel to v by Converse of Corresponding Angles Thm

c)

s is ⊥ u by Converse of Alternate Interior Angles Thm

d)

v ⊥ r by Converse of Alternate Exterior Angles Thm

96.

What is the slope of the equation?
y = -3x + 4

97.

What is the slope in the equation?  y = 12x+7y\ =\ \frac{1}{2}x+7  

a)
7
b)
1/2
c)
-7
d)
1/2x
98.

Slopes of parallel lines are...

a)

opposite reciprocals

b)

the same

c)

opposites

d)

always 7

99.

Slopes of perpendicular lines are...

a)

opposite reciprocals

b)

the same

c)

opposite

d)

always 7

100.

If I am looking for a line parallel to y=−3x−2y=-3x-2  which one of these equations could it be?

a)

y=−2x−1y=-2x-1  

b)

y=3x−4y=3x-4  

c)

y=−3x+6y=-3x+6  

d)

y=−2x−3y=-2x-3  

101.

y=3x+2y=3x+2  and  y=3x−3y=3x-3  
These lines are...

a)

the same line

b)

perpendicular

c)

neither

d)

parallel

102.

y=−23x+2y=\frac{-2}{3}x+2  and  y=32x+9y=\frac{3}{2}x+9  

a)

Parallel

b)

Perpendicular

c)

Neither

103.

Are the lines parallel, perpendicular, or neither?

y=−2x+5y=-2x+5 and  y=x−1y=x-1  

a)

Parallel

b)

Perpendicular

c)

Neither

104.

Are the lines parallel, perpendicular, or neither? y=4x+7y=4x+7  and y=−14x+2y=-\frac{1}{4}x+2  

a)

Parallel

b)

Perpendicular

c)

Neither

105.
What slope is parallel to:  
m = 3/4
a)
4/3
b)
3/4
c)
-3/4
d)
-4/3
106.
What is the slope of a line perpendicular to a line with slope -6/5 ?
a)
-6/5
b)
-5/6
c)
5/6
d)
-4/3
107.

Angles that lie on opposites sides of the transversal and outside of the parallel lines.

a)

Alt. Int. Angles

b)

Vertical Angles

c)

Alt. Ext. Angles

d)

Same-Side Int. Angles

108.

Angles that lie on the same side of the transversal and in the same positions are called...

a)

Linear Pair

b)

Alt. Int. Angles

c)

Corresponding Angles

d)

Alt. Ext. Angles

109.

Angles between two parallel lines and on the same side of a transversal.

a)

Same Side Int. Angles

b)

Same Side Ext. Angles

c)

Vertical Angles

d)

Corresponding Angles

e)

Consecutive Int. Angles

110.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
111.

What do the interior angles in a triangle have a sum of?

112.
Which of the following angles are remote interior angles to angle d?
a)
Angle a and Angle b
b)
Angle b and Angle c
c)
Angle a and Angle c
d)
Angle a and Angle b and Angle c
113.

What is the value of the missing angle?

114.

What is the value of the missing angle?

115.

If Bertha Dr. is parallel to Charles St. and perpendicular to Adam Ct, what is also true?

a)

Adam Ct. is parallel to Charles St.

b)

Adam Ct. is perpendicular to Charles St.

c)

Bertha Dr. is parallel to Edward Rd.

d)

Adam Ct. is perpendicular to Edward Rd.

116.

If Bertha Dr. is parallel to Charles St. and Charles St. is parallel to Edward Rd., what is also true?

a)

Adam Ct. is parallel to Charles St.

b)

Adam Ct. is perpendicular to Charles St.

c)

Bertha Dr. is parallel to Edward Rd.

d)

Adam Ct. is perpendicular to Edward Rd.

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