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Geometry Final Exam Study Guide

Total questions: 78

Worksheet time: 2hrs 13mins

Name
Class
Date
1.

It is a branch of mathematics that studies the sizes, shapes, positions angles and dimensions of things.

a)

Algebra

b)

Geometry

c)

Statistics

d)

Trigonometry

2.

A__________ is a fixed position in space and has no dimensions or size.

a)

Point

b)

Line

c)

Plane

d)

Cube

3.
A ________ has infinite points; one dimension and extends in opposite directions forever.
a)
Point
b)
Line
c)
Line segment
d)
Plane
4.

A ________ is a flat surface.

a)

Point

b)

Line

c)

Line segment

d)

Plane

5.

Opposite rays are rays that share an endpoint and point in opposite directions. Both rays together form a(n) __________.

a)

Line

b)

Plane

c)

Intersection point

d)

Acute angle

6.

How many point are required to name a specific plane

a)

3

b)

2

c)

∞\infty

d)

1

e)

0

7.
If lines are parallel, then alternate interior angles are _____________
a)
congruent
b)
parallel
c)
complementary
d)
supplementary
8.
If angle 8 is 63 degrees, how many degrees is angle 2?
a)
63 degrees because angle 8 & 2 are alternate exterior angles.
b)
117 degrees because angle 8 & 2 are supplementary.
c)
63 degrees because angle 8 & 2 are vertical angles.
d)
117 degrees because angle 8 & 2 are same side exterior angles.
9.
Find m∠D.
a)
∠D=116°
b)
∠D=64°
c)
∠D=180°
d)
∠D=26°
10.
What are complementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect.
11.
What is the value of x?
a)
45
b)
54
c)
126
d)
135
12.
Angle 1 = 27o
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
13.
A line that passes through parallel lines is called a ______________.
a)
vertical lines
b)
a passer through line
c)
transversal
d)
perpendicular line
14.
Find m ∠C.
a)
∠C=116°
b)
∠C=64°
c)
∠C=180°
d)
∠C=26°
15.
If angle 1 is 135 degrees, how many degrees is angle 3?
a)
45 degrees
b)
65 degrees
c)
135 degrees
d)
225 degrees
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.
State the angle relationship and find the measure of angle 2
a)
Alternate Exterior
127
b)
Alternate Exterior
52
c)
Alternate Interior
127
d)
Alternate Interior
52
18.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
19.
Which pair of angles are alternate exterior angles?
a)
Angle 7 and Angle 4
b)
Angle 2 and Angle 6
c)
Angle 8 and Angle 1
d)
Angle 2 and Angle 8
20.
What is the relationship of the Angles
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
vertical 
21.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
22.

The following represents slopes of two lines. Which answer choice describes the two lines? m=−13m=-\frac{1}{3}  and  m=−13m=-\frac{1}{3}  .

a)

Parallel

b)

Perpendicular

c)

Neither

23.
What slope is parallel to:  
m = 3/4
a)
4/3
b)
3/4
c)
-3/4
d)
-4/3
24.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
25.
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
26.

What is the slope of a line perpendicular to 5?

a)

5

b)

1/5

c)

-1/5

d)

-5

27.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
(x+2, y-5)
b)
(x+2, y-9)
c)
(x-2, y-9)
28.
Determine where X' would be if you translated X 3 units to the left and 9 units down.
a)
(-4, 4)
b)
(-10, 2)
c)
(-4, -5)
d)
(-1, 5)
29.
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
a)
Translated 5 units down and 5 units to the right
b)
Translated 5 units down and 1 to the right
c)
Translated 8 units down and 5 units to the right
d)
Translated 5 units down and 4 units to the right
30.
Find K' if the figure is reflected across the x-axis
a)
(4, 1))
b)
(-1, -4)
c)
(1, -4)
d)
(1, 4)
31.
Which answer shows a reflection across the x-axis?
a)
d
b)
c
c)
b
d)
a
32.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
33.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
34.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
35.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary 
36.
All angles in similar figures are congruent.  
a)
True
b)
False
37.
In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)
a)
congruent, proportional 
b)
proportional, congruent 
c)
congruent, congruent
d)
proportional, proportional
38.
In a certain apartment building, the ratio of tenants to cars is 3:5. If there are 30 tenants, how many cars are there?
a)
35
b)
60
c)
18
d)
50
39.
Solve for x.
a)
3
-----
10
b)
10
-----
3
c)
44x+24
-----------
(2x+4)(4)
d)
30
------
3.1
40.
If ABCDE ∼ GHJDF, then∠B is congruent to _______
a)
∠H
b)
∠D
c)
∠F
d)
∠J
41.
a)
2
b)
10
c)
12
d)
15
42.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
43.
Solve for x.
a)
x = 5
b)
x = 3
c)
x = 14
d)
x = 1
44.
a)
A
b)
B
c)
C
d)
D
45.
a)
A
b)
B
c)
C
d)
D
46.
a)
A
b)
B
c)
C
d)
D
47.
a)
A
b)
B
c)
C
d)
D
48.

Are the triangles congruent?

a)

Yes, by AAS≅

b)

Yes, by ASA≅

c)

Yes, by AA≅

d)

Yes, by SAS≅

e)

Not enough information

49.

Are the triangles congruent?

a)

Yes, by SSA≅

b)

Yes, by HL≅

c)

Yes, by SSS≅

d)

Yes, by SAS≅

e)

Not enough information

50.

Are the triangles congruent?

a)

Yes, by AA≅

b)

Yes, by AAS≅

c)

Yes, by ASA≅

d)

Yes, by SAS≅

e)

Not enough information

51.

Are the triangles congruent?

a)

Yes, by SSA≅

b)

Yes, by AAS≅

c)

Yes, by ASA≅

d)

Yes, by SAS≅

e)

Not enough information

52.
Are the triangles congruent, if yes, why?
a)
SAS
b)
ASA
c)
SSS
d)
Not Congruent
53.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
ASA
d)
Not Congruent
54.
If a quadrilateral has 4 equal sides, then it is a square. 
a)
TRUE
b)
FALSE
55.
A trapezoid is a quadrilateral with exactly ONE set of parallel sides. 
a)
TRUE
b)
FALSE
56.
A __________________ is a quadrilateral with two sets of parallel sides and 4 right angles
a)
trapezoid
b)
parallelogram
c)
rectangle
d)
square
57.
Kate built a garden box with 4 sides.  It has two sets of parallel sides.  Which of the following shapes could her garden NOT be?
a)
rectangle
b)
trapezoid
c)
square
d)
parallelogram
58.

Find the ratio for the given triangle.

a)

125\frac{12}{5}  

b)

1213\frac{12}{13}  

c)

512\frac{5}{12}  

d)

1312\frac{13}{12}  

59.

Find the ratio for the given triangle. 

a)

125\frac{12}{5}  

b)

512\frac{5}{12}  

c)

1312\frac{13}{12}  

d)

1213\frac{12}{13}  

60.

Solve for x.

a)

31.2

b)

5.6

c)

14.6

d)

6.2

61.

Solve for x.

a)

17.2

b)

27.1

c)

8.3

d)

30.9

62.

Determine the measure of ∠UVS

a)

19.5°

b)

39°

c)

78°

d)

102°

63.

Find m∠ EGF. EF is a diameter of the circle.

a)

45°

b)

60°

c)

90°

d)

100°

64.

Find the measure of arc NL

a)

21°

b)

42°

c)

45°

d)

84°

65.

If arc AB = 70°, how many degrees are in ∠ ADB?

a)

35°

b)

50°

c)

70°

d)

110°

66.

∠ AED is formed inside a circle by two intersecting chords. If minor arc BD = 70° and minor arc CA = 180° , what is the measure of ∠ AED?

a)

45°

b)

50°

c)

55°

d)

60°

67.

∠ AED is formed inside a circle by intersecting chords. If minor arc BD = 82 and minor arc CA = 176, what is the measure of ∠ AED?

a)

41°

b)

47°

c)

51°

d)

88°

68.

Solve for x.

Assume that line which appear tangent are tangent.

a)

5

b)

6

c)

8

d)

7

69.

Solve for x.

Assume that line which appear tangent are tangent.

a)

22

b)

16

c)

21

d)

17

70.

Solve for x.

Assume that line which appear tangent are tangent.

a)

14

b)

12

c)

7

d)

15

71.

Solve for x.

Assume that line which appear tangent are tangent.

a)

18

b)

13

c)

14

d)

19

72.

Solve for x.

Assume that line which appear tangent are tangent.

a)

12

b)

15

c)

16

d)

10

73.

What is the diameter of this circle?

a)

7 cm

b)

10 cm

c)

14 cm

d)

21 cm

74.

What is the radius of this circle?

a)

9 in

b)

18 in

c)

12 in

d)

27 in

75.

If the the diameter of the large circle is 36 cm, what is the radius of each of the small circles?

a)

12 cm

b)

18 cm

c)

24 cm

d)

6 cm

76.

The stained glass window is a semicircle. What is the distance around the window? Use 3.14 for pi.

a)

40.82 inches

b)

66.82 inches

c)

81.64 inches

d)

107.64 inches

77.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
78.

what is the area of this semicircle if the diameter is 8 cm? Use 3.14 for pi.

a)

25.12cm

b)

50.27cm

c)

200.96cm

d)

none of the above

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