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College Bound MT Review (Geometry)

Total questions: 140

Worksheet time: 3hrs 9mins

Name
Class
Date
1.

Identify each pair of angles.

a)

alternate exterior

b)

same-side interior

c)

corresponding

d)

alternate interior

2.

Identify each pair of angles.

a)

corresponding

b)

alternate exterior

c)

alternate interior

d)

same-side interior

3.

Identify each pair of angles.

a)

vertical

b)

corresponding

c)

alternate exterior

d)

alternate interior

4.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
5.
Find the value of x. 
a)
x = 133
b)
x = 47
6.
Find y.
a)
50
b)
130
7.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
8.

Alternate exterior angles are outside of the parallel lines and on opposite sides of the ...

a)

angle

b)

measurement

c)

transversal

d)

vertex

9.

Which angle is a vertical angle to with 7\angle7  ?

a)

1\angle1  

b)

5\angle5  

c)

3\angle3  

d)

6\angle6  

e)

9\angle9  

10.

11) Given the two parallel lines cut by a transversal,

What is the measure of 4\angle4  if  m8=76°m\angle8=76\degree  ?



(a)  

11.
Which of these angles is NOT congruent to angle 5?
a)
Angle 6
b)
Angle 8
c)
Angle 1
d)
Angle 4
12.
Solve for angle 5
a)
65
b)
60
c)
110
d)
115
13.
A line that passes through parallel lines is called a ______________.
a)
transitive
b)
passer through line
c)
transversal
d)
bisector
14.
Find C 
a)
∠C=116°
b)
∠C=64°
c)
∠C=180°
d)
∠C=26°
15.
Find D
a)
∠D=116°
b)
∠D=64°
c)
∠D=180°
d)
∠D=26°
16.
If angle 6 is 25 degrees, how many degrees is angle 7?
a)
25 degrees
b)
50 degrees
c)
90 degrees
d)
155 degrees
17.

5) True or False.

If the following parallel lines are cut by a transversal, would 
2\angle2  and  6\angle6   be corresponding?

a)

True

b)

False

18.

Find the value of x.

a)

x = 133

b)

x = 47

c)

x = 180

d)

x = 90

19.
a)
55o alternate
b)
55o corresponding
c)
125o alternate
d)
125o corresponding
20.
What is a transversal?
a)
A line that intersects two or more lines
b)
The angles opposite of each other when two lines cross
c)
Two angles whose sum measures 180 degrees
d)
Lines that intersect to form a 90 degree angle
21.

What are alternate interior angles?

a)

A pair of angles on the outer side of two lines cut by a transversal, but on opposite sides of the transversal

b)

The angles opposite of each other when two lines cross

c)

A pair of angles on the inner side of two lines cut by a transversal, but on opposite sides of the transversal

d)

Two angles in the same position when parallel lines are cut by a transversal

22.
Find the missing angle.  Find x.
a)
20o
b)
70o
c)
160o
d)
180o
23.

What types of angles always add to be  180°180\degree  ?

a)

Complementary Angles

b)

Vertical Angles

c)

Congruent Angles

d)

Supplementary Angels

24.

Classify this type of angle

a)

Vertical Angles

b)

Right Angle

c)

Acute Angle

d)

Obtuse Angle

25.
An angle with measure between 0 degrees and 90 degrees is called a(n) __________ angle.
a)
straight
b)
acute
c)
obtuse
d)
right
26.
A straight angle has how many degrees?
a)
90
b)
45
c)
360
d)
180
27.
This means...
a)
length of AB
b)
line AB
c)
ray AB
d)
segment AB
28.
Name the image
a)
Line
b)
Ray
c)
Line segment
d)
Angle
29.

Name the image

a)

Line segment

b)

Ray

c)

Point

d)

Line

30.

Name the image

a)

Ray

b)

Point

c)

Line

d)

Line segment

31.

Name the image

a)

Angle

b)

Line

c)

Line segment

d)

Ray

32.

Two lines intersect at a __________________.

a)

angle

b)

point

c)

line

d)

intersection

33.

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

34.

Classify the pictured angle

a)

Acute

b)

Right

c)

Obtuse

d)

Straight

35.

Find the missing angle (find x)

a)

15o

b)

50o

c)

130o

d)

165o

36.

Two angles that are opposite each other are called...

a)

Complementary angles

b)

Right angles

c)

Linear pair

d)

Vertical angles

37.

What is it called when two angles are next to each other?

a)

Congruent

b)

Adjacent

c)

Midpoint

d)

Vertical

38.

Vertical angles have degree measures that are _______.

a)

the same

b)

different

39.

Two angles that add to 90°90\degree are called ___________.  


a)

Supplementary

b)

Complementary

c)

Linear Pair

d)

Vertical

40.

Two angles that add to 180°180\degree are called ___________.  


a)

Supplementary

b)

Complementary

c)

Linear Pair

d)

Vertical

41.

Two rays that share the same initial point are called ________

a)

an angle

b)

a line

c)

a plane

d)

a line segment

42.

Pick the option that lists all 3 parts of an angle.

a)

Side, side, vertex

b)

Vertex, vertex, side

c)

Line, side, vertex

d)

Line, line, line

43.

A(n) ____________ is a ray that splits an angle into two congruent parts.

a)

point

b)

middle

c)

angle bisector

d)

midpoint

44.

How many points do you need to make a plane?

a)

1

b)

2

c)

3

d)

7

45.

How many points do you need to make a line?

a)

1

b)

2

c)

3

d)

4

46.

Three points that lie on the same line are called ____

a)

vertical

b)

collinear

c)

coplanar

d)

angle

47.

Four points that lie on the same plane are called ______.

a)

collinear

b)

coplanar

c)

parallel

d)

flat

48.

Which angles are vertical angles? Choose all that apply.

a)

<1 and <2

b)

<1 and <3

c)

<2 and <4

d)

<3 and <4

49.

Two angles whose measures add to be 180°180\degree  and do NOT lie on the same line are called ___________. 

a)

a linear pair

b)

supplementary angles

c)

congruent angels

d)

complementary angles

50.

The sides of parallelogram ABCD

are represented as shown.

Find DA.

a)

10

b)

24

c)

12

d)

30

51.

In rhombus DOGS, DO = 2p + 9

and OG = 3p - 6.

Find GS.

a)

3

b)

19

c)

15

d)

39

52.
A ___________ is a quadrilateral with two sets or parallel sides and 4 congruent (equal) sides. 
a)
trapezoid
b)
rhombus
c)
parallelogram
d)
rectangle
53.

Diagonals Bisect each other. (Click all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

e)

Trapezoid

54.

Opposite angles are supplementary (Click all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

e)

Isosceles Trapezoid

55.
Find the value of x.
a)
4
b)
6
c)
5
d)
129
56.

Which of the following is not a property of a rhombus?

a)

Diagonals bisect corner angles

b)

Diagonals are perpendicular

c)

4 right angles

d)

4 congruent sides

57.
If the figure is a rectangle, the value of x is...
a)
2
b)
12
c)
13
d)
28
58.
Rhombus: Find the measure of ∠2:
a)
59°
b)
45°
c)
118°
d)
90°
59.

The diagonals of rectangle ABCD intersect at E. AE = x + 4 and CE = 3x - 12. Find BD.

a)

8

b)

12

c)

16

d)

24

60.

In rhombus ABCD, m∠ECB = 5a+4 and m∠EBC = 8a - 5.Find m∠EBC.

a)

39

b)

43

c)

47

d)

51

61.

Given square CANE with diagonals intersecting at B. m∠CNE = 3a + 2b,AC = 35, and CE = 6a + 5.Find the value of a + b.

a)

a + b = 15

b)

a + b = 20

c)

a + b = 25

d)

a + b = 45

62.
What shape is this?
a)
Rectangle
b)
Kite
c)
Trapezoid
d)
Parallelogram
63.
What shape is this?
a)
Rectangle
b)
Square
c)
Rhombus
d)
Trapezoid
64.
Name that shape. 
a)
square
b)
square
rhombus
c)
quadrilateral
parallelogram
rhombus
d)
quadrilateral
parallelogram
square
65.
Name that shape.
a)
quadrilateral, rectangle
b)
quadrilateral, rectangle, square
c)
quadrilateral, parallelogram, rectangle
d)
quadrilateral, parallelogram, rectangle, square
66.
A trapezoid is a quadrilateral with exactly ONE set of parallel sides. 
a)
TRUE
b)
FALSE
67.
This figure is not a _______.
a)
trapezoid
b)
square
c)
rectangle
d)
parallelogram
68.
Name that shape.
a)
trapezoid
b)
quadrilateral
c)
parallelogram
d)
rhombus
69.
Which statement is true?
a)
A rhombus is never a square.
b)
A rhombus is always a square.
c)
A rhombus is never a rectangle.
d)
A rhombus is always a parallelogram.
70.
Which statement is true about trapezoids?
a)
All trapezoids are quadrilaterals.
b)
All quadrilaterals are trapezoids.
c)
All trapezoids are rectangles.
d)
All trapezoids are squares.
71.
Two consecutive angles in a parallelogram have measures of 3x-2 and 4x+7. What is the value of x?
a)
-9
b)
26
c)
25
d)
5
72.
What is the value of angle F?
a)
9
b)
12
c)
90
d)
110
73.
Trapezoid QRST is isosceles, where QR = TS. What is the m<R?
a)
130⁰
b)
12⁰
c)
-28⁰
d)
-190⁰
74.
The opposite angles of a parallelogram will always:
a)
be complementary
b)
be supplementary
c)
be congruent
d)
have a sum of 360 degrees
75.

Convert each degree measure into radians and each radian measure into degrees.

a)

a

b)

b

c)

c

d)

d

76.

Convert each degree measure into radians and each radian measure into degrees.

a)

a

b)

b

c)

c

d)

d

77.

Convert each degree measure into radians and each radian measure into degrees.

a)

a

b)

b

c)

c

d)

d

78.

Convert each degree measure into radians and each radian measure into degrees.

a)

a

b)

b

c)

c

d)

d

79.

Convert each degree measure into radians and each radian measure into degrees.

a)

a

b)

b

c)

c

d)

d

80.

Convert each degree measure into radians and each radian measure into degrees.

a)

a

b)

b

c)

c

d)

d

81.

Convert each degree measure into radians and each radian measure into degrees.

a)

a

b)

b

c)

c

d)

d

82.

Convert each degree measure into radians and each radian measure into degrees.

a)

a

b)

b

c)

c

d)

d

83.

Convert each degree measure into radians and each radian measure into degrees.

a)

a

b)

b

c)

c

d)

d

84.

Convert each degree measure into radians and each radian measure into degrees.

a)

a

b)

b

c)

c

d)

d

85.

Solve each triangle. Round answers to the nearest tenth.

a)

a

b)

b

c)

c

d)

d

86.

Solve each triangle. Round answers to the nearest tenth.

a)

a

b)

b

c)

c

d)

d

87.

Solve each triangle. Round answers to the nearest tenth.

a)

a

b)

b

c)

c

d)

d

88.

Solve each triangle. Round answers to the nearest tenth.

a)

a

b)

b

c)

c

d)

d

89.

Find the value of the trig function indicated.

a)

a

b)

b

c)

c

d)

d

90.

Find the value of the trig function indicated.

a)

a

b)

b

c)

c

d)

d

91.

Find the value of the trig function indicated.

a)

a

b)

b

c)

c

d)

d

92.

Find the value of the trig function indicated.

a)

a

b)

b

c)

c

d)

d

93.

Find the value of the trig function indicated.

a)

a

b)

b

c)

c

d)

d

94.

Find the value of the trig function indicated.

a)

a

b)

b

c)

c

d)

d

95.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
96.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
97.
I have been given the short leg in this 30-60-90 triangle.  How do I find the long leg?
a)
Multiply 4 by 2
b)
Multiply 4 by √3
c)
Multiply 4 by √2
d)
Divide 4 by 2
98.

Find the value of x. (The side labelled m has a length of 3\sqrt[]{3} )

a)

9

b)

2√3

c)

1

d)

3

99.
Find x.
a)
10
b)
√3
c)
5
d)
10√3
100.

Find the missing side length, v.

a)

v=22v=2\sqrt{2}

b)

v=2v=2

c)

v=4v=4

d)

v=2v=\sqrt{2}

101.

Find the value of x.

a)

2

b)

434\sqrt{3}

c)

4

d)

232\sqrt{3}

102.
Find a.
a)
2√3
b)
2
c)
12
d)
6
103.
What is the value of x?
a)
12√2
b)
2√12
c)
24
d)
2
104.
Which side is the long leg in this 30-60-90 triangle? (not the hypotenuse)
a)
4
b)
u
c)
v
105.
Which side is the short leg of this 30-60-90 triangle?
a)
6
b)
m
c)
n
106.

Find a.

a)

9

b)

939\sqrt{3}

c)

92\frac{9}{2}

d)

636\sqrt{3}

107.
∠A ≅∠?
a)
∠B
b)
∠E
c)
∠D
d)
∠F
108.
Solve for x
a)
5
b)
4
c)
3
d)
2
109.
Solve for y
a)
2
b)
3
c)
4
d)
5
110.
Which is a correct congruence statement.
a)
A
b)
B
c)
C
d)
D
111.
Use the congruency statement to answer the following: 
∠F = ___
a)
∠H
b)
∠I
c)
∠G
d)
not congruent to another angle
112.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
113.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
114.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
115.
What is the correct congruence statement?  ΔDEC ≅________
a)
ΔAEB
b)
ΔEAB
c)
ΔBEA
d)
Not Congruent
116.

Are these triangles congruent?

a)

Yes - RHS

b)

Yes - SSA

c)

Yes - SAS

d)

No - They are different triangles

117.

Are these triangles congruent?

a)

Yes - SSS

b)

Yes - AAA

c)

No - They are different

d)

Not enough information

118.

Are these triangles congruent?

a)

Yes - AAA

b)

Yes - SSS

c)

No, they are different

d)

Not enough information

119.

Are these triangles congruent?

a)

Yes - SAS

b)

Yes - ASA

c)

Yes - SSS

d)

Not enough information

120.

Are these triangles congruent?

a)

Yes - RHS

b)

Yes - SAS

c)

Yes - AAS

d)

Not enough information

121.

Are these triangles congruent?

a)

Yes - AAA

b)

Yes - ASA

c)

Yes - SAS

d)

No - they are different

122.

Are these triangles congruent?

a)

Yes - ASA

b)

Yes - SSS

c)

Yes - SAS

d)

No - they are not congruent

123.

How many degrees are in a right angle?

a)


30°30\degree

b)

90°90\degree

c)

60°60\degree

d)

Not enough information

124.
What is the reason these triangles are congruent?
a)
SSS
b)
SAS
c)
ASA
d)
AAS
125.
How are the triangles congruent?
a)
HL
b)
SSS
c)
SAS
d)
AAS
126.
How are the triangles congruent?
a)
SAS
b)
ASA
c)
HL
d)
SSS
127.
When can we use the HL Congruence Theorem?
a)
Right Triangles
b)
Isosceles Triangles
c)
When we have a reflexive side
d)
SSA
128.

What is a regular polygon?

a)

All the sides are equal only

b)

All the angles are equal only

c)

All sides and angles are equal

d)

None of the sides and angles are equal

129.

What is the measure of one exterior angle of an equilateral triangle?

a)

30

b)

60

c)

90

d)

120

130.
a)
x=67
b)
x=43
c)
x=55
d)
x=12
131.

The measure of angle DBC is 14o. What is the measure of angle DBA?

a)

7o

b)

14o

c)

28o

132.
Do the segment lengths 15, 12, and 9 form a right triangle?
a)

Yes

b)

No

c)

Maybe

133.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
134.

What is the ratio for Tangent

a)

Opp/Adj

b)

Adj/Opp

c)

Opp/Hyp

d)

Hyp/Opp

135.
What is the ratio for Cosine?
a)
Opp/Hyp
b)
Opp/Adj
c)
Adj/Opp
d)
Adj/Hyp
136.
What is the correct ratio?
a)
7/24
b)
24/7
c)
7/25
d)
24/25
137.
What is the correct ratio?
a)
9/41
b)
40/41
c)
9/40
d)
40/9
138.
What is the ratio for Sine?
a)
Hyp/Opp
b)
Opp/Hyp
c)
Opp/Adj
d)
Adj/Opp
139.
Solve for x.
a)
24.20
b)
4.92
c)
290.4
d)
29.75
140.
The Pythagorean Theorem is
c2 = a2 - b2  
a)
false
b)
true