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Geometry Final Exam Review

Total questions: 107

Worksheet time: 5hrs 55mins

Name
Class
Date
1.
What is it called when points lie on the same line.
a)
Midpoint
b)
Coplanear
c)
Segment Bisector
d)
Collinear
2.
A location in space that is represented by a dot and has no dimensions
a)
Point
b)
Line
c)
Plane
d)
Angle
3.
What are the arrows pointing to?
a)
Ray
b)
Endpoints
c)
Midpoint
d)
Vertex
4.
What is this Symbol called?
a)
Congruent
b)
Equal
c)
Parallel Lines
d)
Angle
5.

a straight path that has no thickness and extends forever

a)

point

b)

line

c)

ray

d)

plane

6.
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
7.
If two lines intersect, they intersect in a ...
a)
point
b)
plane
c)
ray
d)
bisector
8.
The intersection of two planes is a ...
a)
Point
b)
ray
c)
another plane
d)
a line
9.
What is the intersection of line EF and line BF
a)
line GF
b)
point B
c)
Point E
d)
Point F
10.
This means...
a)
length of AB
b)
line AB
c)
ray AB
d)
segment AB
11.
Another name for ray AC is...
a)
ray BC
b)
ray AB
c)
ray CA
d)
ray CB
12.

Which is NOT an undefined term of Geometry?

a)

point

b)

line segment

c)

line

d)

plane

13.

If LM=2x+7, MN=x+9, and LN=40, find the value of x.

a)

8

b)

18

c)

23

d)

17

14.

Complete the statement with the transitive property: If a=b and b=c then...

a)

a=c

b)

b=a

c)

c=b

d)

a=d

15.

a=a is an example of...

a)

symmetric property

b)

transitive property

c)

distributive property

d)

reflexive property

16.

A line must have at least 2 points.

a)

Always

b)

Sometimes

c)

Never

17.

∠1 and ∠3 can best be described as -

a)

complementary angles

b)

supplementary angles

c)

vertical angles

d)

adjacent angles

18.
If lines are parallel, then alternate interior angles are _____________
a)
congruent
b)
parallel
c)
complementary
d)
supplementary
19.

What word describes line Z?

a)

Transversal

b)

Parallel

c)

Corresponding

d)

Same side interior

20.
Which of these angles is NOT congruent to angle 5?
a)
Angle 6
b)
Angle 8
c)
Angle 1
d)
Angle 4
21.
Which pair is NOT corresponding?
a)
1 & 8
b)
3 & 7
c)
4 & 8
d)
1 & 5
22.
What is the value of x?
a)
60
b)
26
c)
14
d)
10
23.
Angle 1 = 3x - 4
Angle 3 = 5x - 38
Find the measure of Angle 4
a)
17o
b)
47o
c)
133o
d)
55o
24.

Find the measure of the angle indicated in bold.

a)

A

b)

B

c)

C

d)

D

25.

Find the measure of the angle indicated in bold.

a)

A

b)

B

c)

C

d)

D

26.

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

a)

y=1/6x +25/6

b)

y = 1/6x + 4

c)

y = -6x - 2

d)

y = -6x + 4

27.

Which of the following lines is PARALLEL to the graph of 5x + 2y = 8?

a)

2x + 5y = 8

b)

5x - 2y = 6

c)

-10x - 4y = 7

d)

-10x + 4y = 9

28.

Which of the following represents the equation of the line passing through (-4, 5) PERPENDICULAR to the line y = -1/2x + 5/2?

a)

y = 2x + 13

b)

y = 2x + 5

c)

y = -1/2x + 3

d)

y = -1/4x + 11/2

29.

Two lines that are perpendicular lines have ...

a)

Slope that is opposite reciprocals

b)

No Slope

c)

Slope that is the same

d)

none of the above

30.

Line a passes through (2, 4) and (4, 7)

Line b passes through (-5, 3) and (-3, 6)

Lines a and b are ?

a)

Parallel

b)

Perpendicular

c)

Neither

31.

Line a passes through (0, 3) and (-4, 8)

Line b passes through (0, 5) and (5,9)

Lines a and b are ?

a)

Parallel

b)

Perpendicular

c)

Neither

32.
Simplify the following radical: √300
a)
3√10
b)
2√150
c)
100√3
d)
10√3
33.
Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is the point of B?
a)
(1,5)
b)
(2,10)
c)
(7,2)
d)
(1,2)
34.
Becky leaves school to go home. She walks 6 blocks North and then 8 blocks west. How far is Becky from the school? 
a)
14 blocks
b)
12 blocks
c)
10 blocks
d)
8.5 blocks
35.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
36.
Find the distance between (-3, -11) and (8, -42).
a)
32.1
b)
32.3
c)
32.7
d)
32.9
37.
The type of reasoning where a person makes  conclusions based on observations and patterns is called...
a)
Inductive reasoning
b)
Deductive reasoning
c)
Conjecture
d)
Experiments
38.
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
39.

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.

40.

Two angles are supplementary. If one of them is 72 degrees, what is the measure of the other?

a)

72 degrees

b)

18 degrees

c)

108 degrees

d)

not enough information to tell

41.

Solve for x (you don't need to find the two angles unless you want to check your answer.)

a)

23

b)

31.2

c)

13.8

d)

25.3

42.

Solve for the measure of angle 1.

a)

65

b)

25

c)

115

d)

70

43.

The sides of a triangle are 8, 7, and 113\sqrt[]{113}  . Is the triangle right, acute or obtuse?

a)

right

b)

actue

c)

obtues

44.

The sides of a triangle are 5.3, 6.7, and 7.8. Is the triangle right, acute, or obtuse?

a)

right

b)

actue

c)

obtuse

45.

The sides of a triangle are 10, 15, and 5135\sqrt[]{13}  . Is the triangle right, acute, or obtuse?

a)

right

b)

actue

c)

obtuse

46.

Solve for x.

a)

18.8

b)

16

c)

15.7

d)

15

47.

What is cos R?

a)

18/80

b)

80/82

c)

18/82

d)

82/18

48.

Determine if the two triangles Are congruent . If so , state how you know

a)

Side-Angle-Side

b)

Angle-Side-Angle

c)

Side-Side-Side

d)

Not Enough Information

49.

Determine if the two triangles Are congruent . If so , state how you know

a)

Side-Angle-Side

b)

Angle-Side-Angle

c)

Side-Side-Side

d)

Not Enough Information

50.

Determine if the two triangles Are congruent . If so , state how you know

a)

Side-Angle-Side

b)

Angle-Side-Angle

c)

Side-Side-Side

d)

Not Enough Information

51.

ΔAEB ≅ ΔCED by...

a)

SAS

b)

ASA

c)

AAS

d)

SSS

52.
State if the two triangles are congruent.  If they are, state which theorem you would use.
a)
Yes, SAS
b)
Yes, SSS
c)
Yes, HL
d)
Not enough information
53.
Which algebraic rule will produce a translation that is 5 units to the right?
a)
(x, y)  --> (  x ,  y + 5)
b)
(x, y)  --> (  x-5 ,  y + 5)
c)
(x, y)  --> (  x-2 ,  y + 5)
d)
(x, y)  --> (  x+5 ,  y)
54.

Identify the transformation from ABCD to A'B'C'D'.

a)

Translation

b)

Reflection across the x-axis

c)

Reflection across the y-axis

d)

90o counter clockwise rotation

55.
 Find sinA
a)
32/40
b)
32/24
c)
24/40
d)
24/32
56.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
57.
Which trig function would help you solve for the missing angle?
a)
sine
b)
cosine
c)
tangent
d)
pythagorean theorem
58.

Solve for x.

a)

25

b)

65

c)

error

d)

.0074

59.

Choose the correct values for x and y in the right triangle.

a)

x=562x=\frac{5\sqrt{6}}{2}

b)

x=5x=5

c)

y = 10y\ =\ 10

d)

y=103y=10\sqrt{3}

60.

What is the measure of side b?

a)

5

b)

10√2

c)

5√2

d)

102\frac{10}{\sqrt{2}}

61.
Find x.
a)
45°
b)
90°
c)
30°
d)
60°
62.
What type of special right triangle is this?
a)
45-45-90
b)
30-60-90
c)
not a special right triangle
63.

How long is side c?

a)

1

b)

2

c)

2\sqrt{2}

d)

3\sqrt{3}

64.
The diagonals of a parallelogram
a)
are always congruent
b)
bisect each other
c)
are never congruent
d)
parallel
65.
A rhombus is a parallelogram with 
a)
four congruent sides
b)
four congruent diagonals
c)
four acute angles
d)
four congruent angles
66.
All squares are rectangles.
a)
True
b)
False
67.
The diagonals of a ________ are congruent
a)
Parallelogram
b)
Rectangle and square
c)
Rhombus and square
d)
Trapezoid
68.

What are the properties of a parallelogram?

a)

Opposite sides are parallel

b)

Diagonals are congruent

c)

Diagonals bisect each other

d)

All sides are congruent

e)

Consecutive angles are supplementary

69.

What are the properties of a rectangle?

a)

Four right angles

b)

Opposite sides are parallel

c)

Opposite sides are congruent

d)

Diagonals bisect each other

e)

Diagonals are congruent

70.

Which quadrilateral(s) have four congruent sides?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

71.

Which quadrilateral(s) have perpendicular diagonals?

a)

Parallelogram

b)

Rectangle

c)

Square

d)

Rhombus

e)

Trapezoid

72.

What are the coordinates of the center and the radius of the circle with equation:

(x - 4)2 + (y - 3)2 = 25 ?

a)

Center (4,3)

Radius = 5 units

b)

Center (4,3)

Radius = 25 units

c)

Center (-4,-3)

Radius = 25 units

d)

Center (-4,-3)

Radius = 5 units

73.

What is the measure of Arc EG?

a)

300

b)

150

c)

210

d)

75

74.

Find the length of the bold arc.

a)

5.95 yd

b)

18.7 yd

c)

11.9 yd

d)

37.4 yd

75.

Determine the measure of ∠NOP

a)

15°

b)

20°

c)

40°

d)

50°

76.

Determine the measure of ∠UVS

a)

19.5°

b)

39°

c)

78°

d)

102°

77.
Find the measure of angle ABD.
a)
14
b)
51
c)
37
d)
65
78.
Solve for a.
a)
6
b)
6.67
c)
8.33
d)
10
79.
Solve for a.
a)
4
b)
6.93
c)
8
d)
16
80.
Find the length of BC.
a)
2
b)
3
c)
9
d)
14
81.

What is the volume?

a)

14 ft 2

b)

54 ft2

c)

54 ft3

d)

102 ft3

82.

What is the surface area?

a)

164 in2

b)

82 in2

c)

120 in3

d)

164 in3

83.
Find the total surface area of the prism.
a)
161 square feet
b)
1,700 square feet
c)
75 square feet
d)
186 square feet
84.
Find the Surface Area
a)
15m2
b)
16m2
c)
18m2
d)
20m2
85.
Find the volume of the figure.
a)
126 cm3
b)
907.5 cm3
c)
605 cm3
d)
55 cm3
86.

Find the volume of the Sphere. Use the pi button and round to the nearest tenth

(a)  

87.
What is the surface area of the cylinder to the nearest square inch? 
a)
625 in2
b)
1300 in2
c)
1046 in2
d)
414 in2
88.
Find the volume.
a)
14.13 in3
b)
56.52 in3
c)
169.56 in3
d)
145.72in3
89.
Find the volume.
a)
182.6 yd3
b)
2739 yd 3
c)
913 yd3
d)
1826 yd3
90.

Find the missing side using proportions.

a)

45

b)

44

c)

42

d)

32

91.
Find AE
a)
12.5
b)
18
c)
11.75
d)
13
92.

ΔSQR∼ΔSPT. Which choice below lists two corresponding sides?

a)

SP and SR

b)

QS and PT

c)

PS and RS

d)

TP and RQ

93.
What is the similarity statement for the triangle pair?
a)
ΔXYZ~ΔNEW
b)
ΔXZY~ΔNWE
c)
ΔZYX~ΔENW
d)
ΔYZX~ΔNWE
94.

If the triangles are similar, state how.

a)

AA

b)

SAS

c)

SSS

d)

Not similar

95.
State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.
a)
(5,3)
b)
(20,12)
c)
(-20,-12)
d)
(-5,-3)
96.
Fill in the blank.
a)
Given
b)
Reflexive Property
c)
Transitive Property
d)
They're the same side!!!!!! 
97.

What does CPCTC stand for?

a)

Congruent parts of congruent triangles are congruent

b)

Corresponding parts of congruent triangles are congruent

c)

Corresponding parts of corresponding triangles are corresponding

98.
What is the "reason" for step 5 of the proof?
a)
Angle Bisector Theorem
b)
Reflexive property
c)
CPCTC Theorem
d)
Proof
99.

Which of the following is NOT enough to prove two triangles are congruent?

a)

SSS

b)

SAS

c)

SSA

d)

ASA

e)

AAS

100.

Put the sides of the triangle in order from smallest to largest.

a)

TS, RT, RS

b)

TS, RS, RT

c)

RT, TS, RS

d)

RS, RT, TS

101.

Which set of 3 sides could create a triangle?

a)

2, 3, 5

b)

4, 9, 14

c)

7, 8, 21

d)

5, 6, 7

102.

The diagonals in a kite __________.

a)

are congruent

b)

are supplementary

c)

are perpendicular

d)

are parallel

103.

Which of the following is/are true?

a)

f= d(cos E)

b)

f=e/tanE

c)

f=d(sin F)

d)

All of the above are true

104.

Write an equation that correctly models the lengths shown.

a)

2x + 20 + x + 21 = 9

b)

2x + 20 + 9 = x + 21

c)

9 + x + 21 = 2x + 20

d)

2x + 20 - 9 = x + 21

105.
If GH = 8 and HI = 17, Find GI
a)
8
b)
9
c)
24
d)
25
106.

11. What is the measure of angle CBD?

(a)  

107.
a)

x = 6°

b)

x = 7°

c)

x = 12°

d)

x = 144°

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