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EOY REVIEW

Total questions: 222

Worksheet time: 6hrs 33mins

Name
Class
Date
1.
A line that intersects a circle at exactly one point
a)
secant
b)
circle
c)
chord
d)
tangent
2.
When you translate (x,y+6)  the figure will move _____.
a)
6 units right
b)
6 units left
c)
6 units up
d)
6 units down
3.
What is the part of the circle highlighted in red called?
a)
semi-circle arc
b)
major arc
c)
minor arc
d)
sector
4.

Euclidean Geometry is an axiomatic system made up of a collection of statements, i.e. definitions and axioms, from which we expand the system by proving theorems based on the definitions, axioms and previously proved theorems.

a)

True

b)

False

5.

If you were to rotate ABCD 90° clockwise about the origin, what would be the coordinate of A'?

a)

(-5, 3)

b)

(3, -5)

c)

(5, -3)

d)

(-3, -5)

6.
What is a possible sequence of transformations for the given figures? 
a)
Reflect over the x-axis, translate (x+8,y)
b)
Reflect over the x-axis then translate (x+6, y)
c)
Reflect over the y-axis then (x+1, y+1)
d)
Translate down 4 (y-4) and to the right 5 (x+5)
7.
What is the transformation shown?
a)
Rotation 90 degrees clockwise
b)
Reflection over y= -1
c)
Reflection over x-axis
d)
Reflection over x= -1
8.
Triangle ABC is rotated 180 degrees clockwise around the origin and reflected over the y-axis. What is the quadrant of the final image?
a)
I
b)
II
c)
III
d)
IV
9.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
10.
Are the two triangles similar? If so, what is the scale factor?
a)
Yes, 2
b)
No
c)
Yes, 1/2
d)
Yes, 3
11.
Dilate the triangle by a scale factor of 1/2. What are the coordinates of B'?
a)
(3/2, -4)
b)
(-3/2,1)
c)
(-1,-3/2)
d)
(-2,-2)
12.
The red triangle has been dilated by a scale factor of 1/4, which triangle represents the image? 
a)
green triangle 
b)
red triangle 
c)
black triangle
d)
none of these 
13.
What is the scale factor of the dilation?
a)
5/2
b)
3/2
c)
7/2
d)
2/3
14.
Triangle ABC is reflected over the x-axis, rotated 270 degrees clockwise around the origin, and reflected over y= -x. What is the quadrant of the final image?
a)
I
b)
II
c)
III
d)
IV
15.

Which of the following describes the sequence of transformations shown?

a)

Reflect across the x-axis and then rotate 90 degrees counterclockwise around the origin

b)

Rotate 90 degrees clockwise around the origin and then translate down 8.

c)

Reflect across the x-axis and then reflect across the y-axis.

d)

Translate up 8 and then rotate 90 degrees counterclockwise about the origin.

16.

Triangle ABC is rotated 180 degrees counterclockwise around vertex C. Find the coordinates of B'.

a)

B' (-4, -4)

b)

B' (2, -2)

c)

B' (6, 0)

d)

B' (5, -1)

17.

Triangle ABC is rotated 90 degrees clockwise around vertex B. Find the coordinates of C'.

a)

C' (-3, 6)

b)

C' (-3, 2)

c)

C' (-2, 1)

d)

C' (2, 7)

e)

C' (2, -3)

18.

The triangle is reflected over the line y=x and then rotated 90 clockwise around the origin. Find the final coordinates for K''.

a)

(1,3)

b)

(-1,-3)

c)

(1,-3)

d)

(-3,-1)

19.
The point (-5,2) is reflected over the y axis.  Where is the new point located?
a)
(5,2)
b)
(-5,-2)
c)
(-5,2)
d)
(5,-2)
20.
What is the correct ratio?
a)
7/24
b)
24/7
c)
7/25
d)
24/25
21.

The triangle is reflected over the line y=x and then rotated 90 clockwise around the origin. Find the final coordinates for L''.

a)

(1,-2)

b)

(1,2)

c)

(-1,-2)

d)

(-2,-1)

22.

Two lines in the same plane that will never intersect

a)

Parallel Lines

b)

Skew Lines

c)

Perpendicular Lines

d)

Line Segment

23.

Find x.

a)

14.3

b)

7.3

c)

31.4

d)

35.2

24.

Find x.

a)

42.9

b)

21

c)

33.3

d)

21.9

25.

Find x.

a)

41.8

b)

48.2

c)

33.7

26.
Write a rule for the translation.
a)
 (x -1, y  + 2)
b)
 (x -2, y  + 1)
c)
 (x +2, y  - 1)
d)
(x +1, y  -  2)
27.

Find x.

a)

28.9

b)

61.1

c)

64.2

d)

25.8

28.

Find x.

a)

12.8

b)

77.2

c)

12.5

d)

77.5

29.

Find x.

a)

18.6

b)

21.3

c)

9.2

d)

12.2

30.

Find x.

a)

8.5

b)

31.9

c)

8.8

d)

34.2

31.

Find x.

a)

15.8

b)

12.3

c)

25.6

d)

15.6

32.

Find x.

a)

38.7

b)

32

c)

58

d)

51.3

33.

Find x.

a)

27

b)

63

c)

24.4

d)

65.6

34.

Find x.

a)

54.9

b)

35.1

c)

50.7

d)

39.3

35.

Find x.

a)

2.3

b)

5.6

c)

9.8

d)

11

36.

Find the length of the ramp.

a)

5.7

b)

44.6

c)

41.7

d)

17.1

37.

Find angle CDB.

a)

68.7

b)

21.3

c)

19.3

d)

22

38.
What is the ratio for Sine?
a)
Hyp/Opp
b)
Opp/Hyp
c)
Opp/Adj
d)
Adj/Opp
39.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

40.
What is the ratio for Cosine?
a)
Opp/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Adj/Hyp
41.
What is the correct ratio?
a)
9/41
b)
40/41
c)
9/40
d)
40/9
42.
What is the correct ratio?
a)
20/12
b)
12/20
c)
12/16
d)
16/12
43.
Which of the following names a radius?
a)
segment AC
b)
segment DB
c)
segment AB
d)
segement BC
44.
Which of the following names a diameter?
a)
segment AC
b)
segment DB
c)
segment AB
d)
segment BC
45.
What is the part of the circle highlighted in red called?
a)
semi-circle arc
b)
major arc
c)
minor arc
d)
sector
46.
What is the part of the circle highlighted in red called?
a)
semi-circle arc
b)
major arc
c)
minor arc
d)
sector
47.
A chord is a segment that connects ___________
a)
the center to the endpoint
b)
to one point outside the circle
c)
a central angle
d)
2 endpoints of a circle
48.
An angle whose vertex lies on the circle and whose sides are chords of the circle
a)
inscribed angle 
b)
central angle
c)
arc
d)
radius
49.
An angle whose vertex is the center of a circle
a)
central angle
b)
inscribed angle
c)
minor arc
d)
major arc
50.
In the equation (x+2)2+(y-3)2=4, the radius of the circle is...
a)
4
b)
2
c)
3
d)
16
51.
What is the center and radius for a circle with the equation:
(x-4)2+(y+2)2=25
a)
C:(4, -2), r=5
b)
C:(-4, 2), r=5
c)
C:(4, -2), r=25
d)
C:(-4, 2), r=25
52.
The point ( -2,5) is reflected over the line x = 1.  Find its image.
a)
(4, 5)
b)
(-2, -3)
c)
(2, 5)
d)
(2, -5)
53.
What is the center of the circle with equation x2 + y2 = 1?
a)
(1, 1)
b)
(0, 0)
c)
not enough information
54.
What is the center of a circle with equation (x-4)2 + y2 = 5?
a)
(-4, 0)
b)
(4, 0)
c)
(4, 1)
d)
(-4, 1)
55.
Write the equation of a circle with center (7, 0) with radius 3.
a)
(x - 7)2 + y2 = 9
b)
x2 + (y -7)2 = 9
c)
(x - 7)2 + y2 = 3
d)
x2 + (y -7)2 = 3
56.
Write the Standard Equation for a circle with a center (-2,5) and radius 7
a)
(x+2)2 + (y-5)2 = 49
b)
(x+9)2 + (y-6)2 = 49
c)
(x+2)2 + (y-5)2 = 32
57.

If the Implication (conditional statement) is p→qp\rightarrow q  , then find the converse statement.

a)

q→pq\rightarrow p  

b)

∼p→∼q\sim p\rightarrow\sim q  

c)

∼q→∼p\sim q\rightarrow\sim p  

d)

p→∼qp\rightarrow\sim q  

58.

Two angles that sum to 90 degrees.

a)

Complimentary Angles

b)

Supplementary Angles

c)

Right Angle

d)

Obtuse Angle

59.

If it rains today, then I will stay at home

Find the converse of this statement

a)

If it doesn't rain today, then I won't stay at home

b)

If I will stay at home, then it rains today

c)

If I will not stay at home, then it does not rain today

d)

If it rains today, then I will not stay at home

60.

If it rains today, then I will stay at home

Find the inverse of this statement

a)

If it doesn't rain today, then I won't stay at home

b)

If I will stay at home, then it rains today

c)

If I will not stay at home, then it does not rain today

d)

If it rains today, then I will not stay at home

61.

If you receive A grade in math, then you will be awarded a scholarship.

Find the contrapositive of this statement

a)

If you won't be awarded a scholarship, then you don't receive A grade in math

b)

If you don't receive A grade in math, then you will not be awarded a scholarship

c)

If you will be awarded a scholarship, then you receive A grade in math

d)

If you receive A grade in math, then you will not be awarded a scholarship

62.

If you receive A grade in math, then you will be awarded a scholarship.

Find the inverse of this statement

a)

If you won't be awarded a scholarship, then you don't receive A grade in math

b)

If you don't receive A grade in math, then you will not be awarded a scholarship

c)

If you will be awarded a scholarship, then you receive A grade in math

d)

If you receive A grade in math, then you will not be awarded a scholarship

63.
What is the hypothesis and conclusion of the following statement:
If I am tiger, then I am a mammal. 
a)
Hypothesis - I am a tiger
Conclusion - I am a mammal 
b)
Hypothesis - I am a mammal
Conclusion - I am a tiger
c)
Hypothesis - If I am a mammal
Conclusion - then I am a tiger
d)
Hypothesis - I am a Clemson Tiger
Conclusion - I am a national champion
64.
If an animal is furry, then it is a hamster. What would be an appropriate counterexample?
a)
goldfish
b)
frog
c)
elephant
d)
cat
65.
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.
66.

Write this statement as a conditional statement.

"Thanksgiving in the United States falls on the fourth Thursday of November."

a)

If it is a Thursday, then it is November.

b)

If it is the fourth Thursday of November, then it is Thanksgiving in the United States.

c)

If it is Thanksgiving, then it is in the United States.

d)

If it is a Thursday, then it is Thanksgiving in the United States.

67.

Write the following as a conditional statement.

"A counterexample shows that a conjecture is false."

a)

If a conjecture is false, then a counterexample is shown.

b)

If a counterexample is shown, then a conjecture is false.

c)

If you have a conjecture, then the conditional statement is false.

d)

If you are sitting in Geometry, then you are crying.

68.

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

If a man is 7 feet tall, then he plays basketball.

a)

Hypothesis: a man is 7 feet tall

Conclusion: he plays basketball

b)

Hypothesis: IF a man is 7 feet tall

Conclusion: THEN he plays basketball

c)

Hypothesis: THEN he plays basketball

Conclusion: IF a man is 7 feet tall

d)

Hypothesis: he plays basketball

Conclusion: a man is 7 feet tall

69.

“If x is 22, then x - 10 = 12”

The conclusion is ________

a)

X is 22

b)

If x is 22

c)

X - 10 = 12

d)

Then x - 10 = 12

70.

“If two angles are supplementary angles, then the sum of the measure of the angles is 180.”

Identify the hypothesis

a)

If two angles are supplementary angles

b)

Then the sum of the measure of the angles is 180

c)

Two angles are supplementary angles

d)

The sum of the measure of the angles is 180

71.

P: A square has 3 sides.

Q: A square has 4 right angles.

What is the truth value of the compound statement P and Q

a)

True

b)

False

c)

None of the above

d)

They are neither true or false

72.

Complete the truth table

a)
b)
c)
d)
73.

Is statement 2 the inverse, converse, or contrapositive of statement 1?

Statement 1: If two lines are perpendicular, then they form right angles.

Statement 2: If two lines form right angles, then they are perpendicular.

a)

Inverse

b)

Converse

c)

Conditional

d)

Contrapositive

74.

Complete the truth table

a)
b)
c)
d)
75.
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.
76.
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
77.
True or False: a counterexample is an example that makes a definition or conjecture incorrect
a)
True
b)
False
78.

To name a plane, you must use _________ points.

a)

1

b)

2

c)

3

d)

4

79.

The three undefined terms in Geometry are...

a)

Point, Ray, Segment

b)

Line, Plane, Triangle

c)

Point, Line, Plane

d)

Peanut, Butter, Jelly

80.

Two lines that intersect and form 90 degree angles are known as...

a)

Parallel lines

b)

Intersecting lines

c)

Right lines

d)

Perpendicular lines

81.

The measure of one angle is 30 degrees. The measure of another angle is 59 degrees. Are these angles complimentary?

a)

No

b)

Yes

82.

A triangle with one 90 degree right angle.

a)

Acute Triangle

b)

Right Triangle

c)

Obtuse Triangle

d)

Equilateral Triangle

83.

Two or more lines that share a common point of intersection.

a)

Parallel Lines

b)

Intersecting Lines

c)

Ray

d)

Line Segment

84.

Two lines that intersect at 90 degree angles.

a)

Parallel Lines

b)

Skew Lines

c)

Perpendicular Lines

d)

Line Segment

85.

A triangle with three congruent sides

a)

Equilateral Triangle

b)

Isosceles Triangle

c)

Scalene Triangle

d)

Right Triangle

86.

A triangle with two congruent sides

a)

Equilateral Triangle

b)

Isosceles Triangle

c)

Scalene Triangle

d)

Right Triangle

87.

A triangle with no congruent sides

a)

Equilateral Triangle

b)

Isosceles Triangle

c)

Scalene Triangle

d)

Right Triangle

88.

Two angles that sum to 180 degrees.

a)

Complimentary Angles

b)

Supplementary Angles

c)

Right Angles

d)

Obtuse Angles

89.

An angle that measures greater than 90 degrees.

a)

Complimentary Angles

b)

Straight Angle

c)

Right Angle

d)

Obtuse Angle

90.

An angle that measures less than 90 degrees.

a)

Acute Angle

b)

Straight Angle

c)

Right Angle

d)

Obtuse Angle

91.

Formed by negating and switching the hypothesis and conclusion.

If ~q, then ~p.

a)

Biconditional

b)

Converse

c)

Contrapositive

d)

Inverse

92.

A part of the circumference of the circle is mathematically known as...

a)

an arc.

b)

a curved line.

c)

a piece of the perimeter.

93.

Part of a line beginning from an endpoint and then continuing forever.

a)

Ray

b)

Line

c)

Line Segment

d)

Straight Angle

94.

Part of a line consisting of two endpoints and all points in between them.

a)

Ray

b)

Line

c)

Line Segment

d)

Straight Angle

95.

A flat surface with no thickness that extends in all directions forever.

a)

Ray

b)

Line

c)

Plane

d)

Parallelogram

96.

A straight path that has no thickness and extends forever.

a)

Ray

b)

Line

c)

Plane

d)

Line Segment

97.

A location that has no size.

a)

Ray

b)

Point

c)

Plane

d)

Dot

98.
Baymax's eyes make a...
a)
Line
b)
Line segment
c)
Ray
d)
Angle
99.

In a geometric system, which would best describe how postulates differ from theorems?

a)

Postulates do not require a proof and are presumed true, while theorems are statements requiring proof.

b)

Postulates are statements that require proof, while theorems cannot be proven.

c)

Both postulates and theorems do not require proof and are assumed to be true.

d)

There is no difference between postulates and theorems.

100.

Which of the following statements is true?

a)

A theorem is not possible to prove.

b)

A theorem is a statement accepted to be true without proof.

c)

A postulate is a statement accepted to be true without proof.

d)

A conjecture is a statement accepted to be true without proof.

101.

These are statements that are accepted as true without proof.

a)

Definitions

b)

Postulates

c)

Undefined Terms

d)

Theorems

102.

Complete the Line Postulate:

"For every two points, there is exactly _____ line that contains both points."

a)

one

b)

two

c)

three

d)

four

103.

An axiom is...

a)

a statement of the meaning of a word or term.

b)

a self-evident statement accepted as true for the purpose of reasoning. A fundamental building block of the system.

c)

a statement proved from other statements.

d)

the reverse of a statement.

104.

A theorem is...

a)

a statement of the meaning of a word or term.

b)

the reverse of a statement.

c)

a statement proved from definitions, axioms and other statements. A proven rule.

d)

a statement of lesser importance.

105.

"If A then B" represents a theorem. This implies that "if B then" A represents...

a)

a theorem as well.

b)

a proof.

c)

a corollary.

d)

the converse which may or may not be necessarily true.

106.

Which of the statements below represents the converse of the following statement: If two sides of a triangle are equal in length then the angles facing those sides are equal in size.

a)

If two angles of a triangle are equal in size then the two sides of the triangle facing those angles are equal in length.

b)

If two angles of a triangle are equal in size then that triangle is an isosceles triangle.

c)

If two angles of a triangle are equal in size then the two sides of the triangle facing those angles are different lengths.

d)

The statement does not have a converse.

107.

A corollary is...

a)

an important theorem.

b)

the same as the converse of a theorem.

c)

the reverse statement.

d)

a theorem in its own right but of lesser importance which follows immediately from another theorem.

108.

A mathematical statement which is apparently true, but has not yet been proven is...

a)

a theory or idea.

b)

a theorem.

c)

a proposition or conjecture.

d)

an invalid argument.

109.

The logical progression of statements based on definitions, axioms and other theorems to demonstrate the truth of a conjecture or proposition is known as a...

a)

definition.

b)

rider.

c)

solution.

d)

deductive proof.

110.

What is used to disprove a statement?

a)

An idea.

b)

A proof.

c)

A counter-example.

d)

A theorem.

111.

"Every prime number is odd" is a proposition. Which of the following represents a counter-example to this statement?

a)

2

b)

4

c)

6

d)

-2

112.

A geometry rider is a conjecture, proposition or problem in geometry to be proved or solved using definitions, theorems and/or converses of theorems and which is of sufficient importance to be made a theorem in its own right.

a)

True

b)

False

113.

Fill in the blank: A circle can be defined as the set of all points __________________ from a given point called the centre.

a)

different distances

b)

equidistant

c)

opposite

114.

What is the measure of an angle formed by two intersecting chords in a circle?

a)

Equal to the measure of the arc intercepted by the angle

b)

Half the difference of the measures of the arcs intercepted by the angle and its vertical angle

c)

Twice the measure of the arc intercepted by the angle

d)

Half the sum of the measures of the arcs intercepted by the angle and its vertical angle

115.

In the image, AB represents a

a)

sector.

b)

segment.

c)

chord.

d)

diameter.

116.

True or false: A diameter is a special type of chord that passes through the centre of the circle.

a)

True

b)

False

117.

If a diameter is 48 cm then the length of the radius is...

a)

96 cm.

b)

48 cm.

c)

24 cm.

d)

12 cm.

118.

In the diagram, if M is the centre of the circle then triangle MBX is, at the very least, ...

a)

Equilateral

b)

Scalene

c)

Isosceles

d)

Right-angled

119.

In the diagram, line LP touches the circle once at point P. This line is a...

a)

secant.

b)

chord.

c)

tangent.

d)

diameter.

120.

A sector of a circle is identical to a segment of a circle.

a)

True

b)

False

121.

A line passing through a circle at two points and extending beyond the circle is known as a....

a)

tangent.

b)

chord.

c)

diameter.

d)

secant.

122.

points that lie in the same line

a)

coplanar points

b)

concurrent lines

c)

collinear points

d)

parallel lines

123.

lines whose intersection is a single point

a)

concurrent lines

b)

skew lines

c)

coplanar lines

d)

line

124.

points contained in the same plane

a)

collinear points

b)

point

c)

non coplanar points

d)

coplanar points

125.

lines contained in the same plane

a)

concurrent lines

b)

coplanar lines

c)

skew lines

d)

parallel lines

126.

an undefined term in euclidean geometry that can be thought of as a straight set of points extending infinitely in one dimension with no width or thickness

a)

skew lines

b)

plane

c)

line

d)

point

127.

not in the same plane

a)

plane

b)

coplanar lines

c)

non coplanar points

d)

non collinear points

128.

points that do not lie on the same line

a)

collinear points

b)

point

c)

non coplanar points

d)

non collinear points

129.

coplanar lines that do not intercept

a)

line

b)

parallel lines

c)

skew lines

d)

coplanar points

130.

an undefined term in euclidean geometry that can be thought of as a flat surface made of points extending infinitely in 2 dimensions with no thickness

a)

skew line

b)

plane

c)

point

d)

line

131.

an undefined term in euclidean geometry that can be thought of as a dot or location in space with no length, width, or thickness

a)

collinear lines

b)

line

c)

plane

d)

point

132.

lines that are not coplanar

a)

coplanar lines

b)

skew lines

c)

concurrent lines

d)

parallel lines

133.

Making a conclusion based on observation or patterns

a)

Negation

b)

Disjunction

c)

Inductive Reasoning

d)

Conjecture

134.

A concluding statement reached using inductive reasoning.

a)

Conclusion

b)

Biconditional

c)

Hypothesis

d)

Conjecture

135.

An example that shows a conjecture is false

a)

Disjunction

b)

Counterexample

c)

Negation

d)

Conclusion

136.

The statement that has the opposite meaning.

a)

Negation

b)

Inverse

c)

Converse

d)

Contrapositive

137.

A compound statement joined by the word AND.

a)

Disjunction

b)

Conjunction

c)

Conclusion

d)

Biconditional

138.

A compound statement joined by the word OR.

a)

Conjecture

b)

Inverse

c)

Disjunction

d)

Conjunction

139.

Two or more statements joined by the words AND or OR.

a)

Compound Statement

b)

Counter Example

c)

Biconditional

d)

Conclusion

140.

A statement that can be written in the form "if-then."

a)

Compound Statement

b)

Conjuction

c)

Converse

d)

Conditional Statement

141.

The IF part of a conditional statement.

a)

Conclusion

b)

Hypothesis

c)

Negation

d)

Converse

142.

The THEN part of a conditional statement.

a)

Hypothesis

b)

Compound Statement

c)

Conclusion

d)

Inverse

143.

Formed by negating the hypothesis and conclusion.

if ~p, then ~q

a)

Inverse

b)

Contrapositive

c)

Converse

d)

Biconditional

144.
Identify the transformation from  triangle C to triangle D.
a)
90o Counter clockwise Rotation
b)
180o Rotation
c)
270o Counter clockwise Rotation
d)
360o Rotation
145.

Formed by switching the hypothesis and conclusion.

if q, then p

a)

Contrapositive

b)

Inverse

c)

Biconditional

d)

Converse

146.

The conjunction of a conditional and its converse.

Uses the phrase IF AND ONLY IF.

a)

Biconditional

b)

Conditional Statement

c)

Compound Statement

d)

Contrapositive

147.

Which of the following transformations will map a figure onto itself?

a)

Translation

b)

Rotation of 180 degrees

c)

Dilation with a scale factor of 2

d)

Reflection over a line of symmetry

148.

What is the measure of angle A in a right triangle if angle B is 35 degrees?

a)

90 degrees

b)

65 degrees

c)

55 degrees

d)

45 degrees

149.

Find the area of a circle with a radius of 7 units.

a)

77 square units

b)

44 square units

c)

49 square units

d)

154 square units

150.

What is the length of the hypotenuse in a right triangle with legs of 6 and 8 units?

a)

14 units

b)

15 units

c)

12 units

d)

10 units

151.

What is the measure of an angle that is supplementary to a 65-degree angle?

a)

125 degrees

b)

135 degrees

c)

145 degrees

d)

115 degrees

152.

Which of the following is a property of an isosceles triangle?

a)

All sides are equal

b)

Two sides are equal

c)

No sides are equal

d)

All angles are different

153.

What is the measure of angle ACB in triangle ABC if angle BAC is 45° and angle ABC is 60°?

a)

75°

b)

45°

c)

60°

d)

90°

154.

Find the length of the hypotenuse in a right triangle with legs measuring 9 and 12.

a)

14

b)

13

c)

16

d)

15

155.

What is the area of a circle with a radius of 7 units?

a)

154 square units

b)

49 square units

c)

98 square units

d)

44 square units

156.

Which statement must also be true?

a)

If a quadrilateral has 4 congruent sides, then it is a square.

b)

If a quadrilateral does not have 4 congruent sides, then it is not a square.

c)

If a quadrilateral is not a square, then it does not have four congruent sides.

d)

If a quadrilateral does not have 4 congruent sides, then it is a square.

e)

All of these are true

157.

What is the probability that the point is in the white square region?

a)

722\frac{7}{22}

b)

1544\frac{15}{44}

c)

1529\frac{15}{29}

d)

2944\frac{29}{44}

158.

Which value is closest to the maximum volume of water this cup can hold?

a)

159 cm3

b)

32 cm3

c)

127 cm3

d)

40 cm3

159.

Which equation represents a circle with a radius of 8 centered at (-3, 4)?

a)

(x−3)2+(y+4)2 = 8\left(x-3\right)^2+\left(y+4\right)^2\ =\ 8

b)

(x+3)2+(y−4)2 = 64\left(x+3\right)^2+\left(y-4\right)^2\ =\ 64

c)

(x−3)2+(y+4)2 = 16\left(x-3\right)^2+\left(y+4\right)^2\ =\ 16

d)

(x−8)2+(y+4)2 = −3\left(x-8\right)^2+\left(y+4\right)^2\ =\ -3

160.

What is the total area of the banner in square centimeters?

(a)  

161.

Which of the following is closest to the lateral surface area of the pyramid?

a)

16,330 ft2

b)

20,930 ft2

c)

10,465 ft2

d)

34,155 ft2

162.

The curved surface of the Earth compares to which undefined term in Euclidean geometry?

a)

plane

b)

line

c)

point

d)

space

163.

Based on this information, which statement can be proved true?

a)

∠ACB≅∠ABC\angle ACB\cong\angle ABC

b)

CAB is an acute triangle

c)

∠DCB≅∠BCA\angle DCB\cong\angle BCA

d)

CAB is a right triangle

164.

Based on this construction, which statement is not true?

a)

∠AWC \angle AWC\ is complementary to ∠CWB\angle CWB

b)

CWB is a right triangle

c)

ACB is isosceles

d)

m∠CAB=m∠CBAm\angle CAB=m\angle CBA

165.

Which measure is closest to the value of y?

a)

5.5 ft

b)

3.1 ft

c)

4.3 ft

d)

7.5 ft

166.

Which rule describes the transformation that ws used to form parallelogram A'B'C'D'?

a)

(x, -y)

b)

(-x, y)

c)

(x+6, -y)

d)

(-x, y-3)

167.

Based on the information provided in the diagram, what is m∠P m\angle P\ in degrees?

(a)  

168.

A triangle is enlarged by multiplying each of its dimensions by 4. Based on this information, which of the following statements is true?

a)

The perimeter of the new triangle is 12 times the perimeter of the original triangle.

b)

The perimeter of the new triangle is 16 times the perimeter of the original triangle.

c)

The perimeter of the new triangle is 18 times the perimeter of the original triangle.

d)

The perimeter of the new triangle is 4 times the perimeter of the original triangle.

169.

A civil engineer is drawing a plan for the location and length of a new underground sewer pipe on a coordinate grid. The pipe on the plan will run from point N (a, -2) to point P (1, b) on the coordinate grid. Which expression represents the shortest distance between N and P in units?

a)

(a+2)2+(1−b)2\left(a+2\right)^2+\left(1-b\right)^2

b)

(1−a)2+(b+2)2\left(1-a\right)^2+\left(b+2\right)^2

c)

(a+2)2+(1−b)2\sqrt[]{\left(a+2\right)^2+\left(1-b\right)^2}

d)

(1−a)2+(b+2)2\sqrt[]{\left(1-a\right)^2+\left(b+2\right)^2}

170.

If the arrow is spun once, what is the probability that the arrow will land in Sector 1?

a)

13\frac{1}{3}

b)

14\frac{1}{4}

c)

16\frac{1}{6}

d)

23\frac{2}{3}

171.

Which value is closest to the area of the shaded regions?

a)

7.7 units2

b)

4.3 units2

c)

17.2 units2

d)

64.3 units2

172.

Which statement describes the relationships between the sides of the quadrilateral?

a)

AD‾\overline{AD} is parallel to BC‾\overline{BC} , but AB‾\overline{AB} is not parallel to CD‾\overline{CD}

b)

AB‾\overline{AB} is parallel to CD‾\overline{CD} , but AD‾\overline{AD} is not parallel to BC‾\overline{BC}

c)

AB‾\overline{AB} is parallel to CD‾\overline{CD} , and AD‾\overline{AD} is parallel to BC‾\overline{BC}

d)

AD‾\overline{AD} is not parallel to BC‾\overline{BC} , and AB‾\overline{AB} is not parallel to CD‾\overline{CD}

173.

Two motorcycles start at the same point. One motorcycle travels 15 km due north and stops. The second motorcycle travels 32 km due west and stops. Which value is closest to the distance between the motorcycles when they stop?

a)

28.3 km

b)

47.0 km

c)

35.3 km

d)

21.9 km

174.

Other layouts are also being considered. Which layout is the result of a 90°90\degree counterclockwise rotation of the original layout using D as the center of rotation?

a)

b)

c)

d)

175.

If AC = 28.5 cm, what is the length of AB‾\overline{AB} ?

a)

14.4 cm

b)

22.5 cm

c)

36.1 cm

d)

23.7 cm

176.
What type of triangle is the context of our study of trigonometry?
a)
right triangle
b)
isosceles triangle
c)
scalene triangle
d)
acute triangle
177.
Which side is opposite angle x?
a)
1
b)
2
c)
3
178.
Which side is the hypotenuse?
a)
1
b)
2
c)
3
179.
What is the ratio for Tangent
a)
Opp/Adj
b)
Adj/Opp
c)
Opp/Hyp
d)
Hyp/Opp
180.
What is the ratio for Cosine?
a)
Opp/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Adj/Hyp
181.
What is the correct ratio?
a)
9/41
b)
40/41
c)
9/40
d)
40/9
182.
What is tan 45⁰?
a)
1
b)
2
c)
0.5
d)
0.75
183.
Find x if sin 22o = 2/x.
a)
6.78
b)
0.75
c)
2.14
d)
5.34
184.

The measure of the interior angles of four regular polygons are shown below. Which expression best represents the measure in degrees of the sum of the interior angles of a regular polygon having n sides?

a)

180(n−2)n\frac{180\left(n-2\right)}{n}

b)

180(n - 2)

c)

360n\frac{360}{n}

d)

180n\frac{180}{n}

185.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
186.
How many lines of symmetry does this shape have?
a)
0
b)
1
c)
2
d)
4
187.
Identify the transformation.
a)
Reflection across y-axis
b)
90 Rotation counter clockwise
c)
Translation 5 units left, 1 unit up.
d)
Translation 5 units right, 1 unit down
188.

A spinner is spun twice. What is the probability of spinning green both times?

a)

1/16

b)

1/4

c)

1/2

d)

1/8

189.
A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?
a)
3
b)
1/10
c)
3/10
d)
30%
190.
If you choose from the following M & M colors, what is the probability that you choose blue?
5 green
6 yellow
8 blue
7 brown
a)
8/26
b)
4/13
c)
8/25
d)
1/3
191.
What is the probability of pulling a red marble
out of a jar of marbles that have 10 green marbles, 7 red marbles and 3 blue marbles?
a)
1/7
b)
7/20
c)
7/10
d)
3/10
192.

What is the probability of getting an odd number?

a)

1/6

b)

1/2

c)

1/3

d)

1/4

193.

There are 14 tiles with one letter from the word MATHEMATICIANS on each. Find the probability of randomly choosing the letter "M".

a)

1/2

b)

1/7

c)

1/14

d)

2/7

194.

If you flip a coin two times, is it independent or dependent probability?

a)

Independent

b)

Dependent

195.

If you draw out a red marble, keep it, then draw out a blue marble, is it independent or dependent probability?

a)

Independent

b)

Dependent

196.

What is the probability of flipping a coin twice and landing on tails both times? (leave answer in fraction form in lowest terms)

a)

1/2

b)

2/2

c)

4/1

d)

1/4

197.

What is the probability of picking a green marble, keeping it, then picking another green marble? (leave answer in fraction form in lowest terms)

a)

9/49

b)

1/7

c)

3/14

d)

6/42

198.

If you spin two times, what is the probability of landing on green both times? (leave answer in fraction form in lowest terms)

a)

1/6

b)

1/9

c)

1/36

d)

1/30

199.

You roll a 6-sided number cube. What is the probability of rolling an even number three times in a row? (leave answer in fraction form in lowest terms)

a)

3/100

b)

1/8

c)

1/6

d)

1/2

200.

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3? (leave answer in fraction form in lowest terms)

a)

1/12

b)

1/4

c)

1/8

d)

1/2

201.

The spinner is divided equally. Find P(A).

*Remember to simplify.*

a)

6/8

b)

3/4

c)

2/8

d)

1/4

202.

You spin this spinner 3 times.

Find the probability of these 3 events.

P(red, odd, 3)

a)

1/216

b)

1/72

c)

1/12

d)

1/36

203.
A bag contains 5 blue marbles, 4 red marbles, and 3 orange marbles. Mrs. Cox picks one without looking, replaces it and picks another one. What is the probability that she picks two that are not orange? 
a)
9/16
b)
3/4
c)
9/144
d)
5/16
204.
You have a bag of 17 marbles.  Four are blue, 6 are green, 2 are red, and the others are yellow.  What is the probability of drawing a green marble, putting it aside, and then drawing another green marble?
a)
15/136
b)
30/289
c)
Other
205.
In the game that Tony is playing, there is a 1/8 chance the spinner will land on red and a 3/8 chance that the spinner will land on yellow.   What is the probability that Tony will NOT spin red, then will spin red?
a)
7/64
b)
7/16
c)
Other
206.
A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a number less than 5 on the second roll? 
a)
2/3
b)
5/36
c)
1/9
d)
1/36
207.
Ricardo has the spinner pictured here and a bag of marbles filled with 2 red marbles, 3 green marbles, and 3 blue marbles. What is the probability that Ricardo spins red on the spinner and picks a red marble out of the bag?
a)
1 ⁄ 16
b)
1 ⁄ 2
c)
1 ⁄ 4
d)
1 ⁄ 8
208.
Lucy has the spinner pictured and spins it twice in a row. What is the probability that she lands on blue first and then on yellow or green?
a)
1 / 16
b)
1 ⁄ 6
c)
1 ⁄ 8
d)
3 ⁄ 4
209.
You have a bag of 17 marbles.  Four are blue, 6 are green, 2 are red, and the others are yellow.  What is the probability of drawing a red marble, putting it aside, and then drawing a green marble?
a)
1/136
b)
2/17
c)
3/68
210.
Jamie has 3 raffle tickets. One hundred tickets were sold. Her name was not drawn for the first prize. What is the probability that her name will be drawn for the second prize?
a)
1/3
b)
1/33
c)
3/100
d)
2/99
211.
You roll a six sided die. What is the probability of rolling an even number three times in a row? 
a)
3/100
b)
1/2
c)
1/6
d)
1/8
212.
A chorus has 50 girls and 35 boys. If two are chosen at random to sing a duet, what is the probability that both will be boys? HINT: You can not have the same person twice in a duet 
a)
1/6
b)
7/17
c)
3/8
d)
13/25
213.
A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3? 
a)
1/12
b)
1/4
c)
1/8
d)
1/2
214.

The letters that form the word ALGEBRA are placed in a bowl.

What is the probability of choosing a letter that is NOT “A”?

a)

27\frac{2}{7}  

b)

549\frac{5}{49}  

c)

57\frac{5}{7}  

d)

1049\frac{10}{49}  

215.

What is the probability of selecting a brown M&M from this bowl?


4 yellow, 6 orange, 2 brown, 3 green, 5 blue

a)

218\frac{2}{18}

b)

19\frac{1}{9}

c)

220\frac{2}{20}

d)

110\frac{1}{10}

216.
a)

0%

b)

14\frac{1}{4} or 25%

c)

12\frac{1}{2} or 50%

d)

100%

217.

What is the probability of spinning a number less than 5?

a)

162316\frac{2}{3} %

b)

33 13\frac{1}{3} %

c)

66 23\frac{2}{3} %

d)

83 13\frac{1}{3} %

218.

What is the probability of spinning green?

a)

0

b)

14\frac{1}{4}

c)

12\frac{1}{2}

d)

34\frac{3}{4}

219.

A ten sided die is rolled.


P (3 or 5)

a)

3/10

b)

1/5

c)

1/10

d)

25%

220.

A box has 3 limes, 5 grapes, and 2 oranges.


P (NOT lime)

a)

3/10

b)

30%

c)

7/10

d)

Answer Not Here

221.

A box has 6 red pens, 8 black pens, 2 blue pens, and 4 purple pens.


P(NOT red or blue)

a)

3/5

b)

2/5

c)

3/10

d)

7/10

222.

What is the probability of flipping tails two times in a row?

a)

3/8

b)

1/4

c)

5/8

d)

Answer Not Here

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