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Worksheets

Final Exam Study Guide

Total questions: 152

Worksheet time: 5hrs 46mins

Name
Class
Date
1.

What kind of lines are these?

a)

Parallel lines

b)

Line segments

c)

Perpendicular Lines

d)

Intersecting lines

2.

.

.

What kind of intersecting lines are these?

a)

Parallel Lines

b)

Perpendicular Lines

c)

adjacent

d)

opposite

3.

This is what kind of angle?

a)

acute

b)

obtuse

c)

right

d)

straight

4.
What is a point?
a)
a straight path
b)
an exact location
c)
endless flat surface
d)
lines that cross
5.
Name the figure.
a)
point
b)
line
c)
ray
d)
line segment
6.

What are perpendicular lines?

a)

Lines that will never touch

b)

Lines that intersect to form a right angle

c)

Lines that intersect

d)

Lines that form a circle

7.
Points that lie on the same line are _________.
a)
coplanar
b)
collinear
c)
parallel
d)
perpendicular
8.
Name two points collinear to Point K
a)
H & M
b)
J & L
c)
N & J
d)
M & L
9.
a)

x = 5°

b)

x = 11°

c)

x = 33°

d)

x = 55°

10.
An angle is made up of two _____________ that share a common ________________. 
a)
rays, endpoint
b)
endpoint, rays
c)
vertexes, name
d)
angles, point
11.
The point where 2 rays meet is called the....
a)
right angle
b)
acute angle
c)
vertex
d)
congruent
12.

Find the length of BC\overline{BC}  .

a)

4

b)

-4

c)

5

d)

-5

13.

What is the correct postulate for the figure?

a)

AM + MB = AMB

b)

AB + AM = MB

c)

AM + MB = AB

d)

A + B = AMB

14.

What is the length of YZ?

a)

39

b)

139

c)

37

d)

31

15.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
16.
What is the relationship of the Angles
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
vertical 
17.
Name the angle relationship.
a)
Consecutive Interior
b)
Alternate Interior
c)
Corresponding
d)
Vertical Angles
18.
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
19.

1\angle1  and 2\angle2  are ___.  

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

20.
Vertical angles are always
a)
acute
b)
total 180 degrees
c)
congruent (equal measures)
d)
adjacent angles
21.

What type of angles are these?

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

22.
What type of angle measures more than 90 degrees. 
a)
Obtuse Angle
b)
Right Angle
c)
Acute Angle 
d)
Parallel Lines
23.
Measures 180 degrees and goes on forever in both directions. 
a)
Line Segment
b)
Circle
c)
Ray
d)
Line
24.
Which figure shows a set of perpendicular lines?
a)
Figure 1
b)
Figure 2
c)
Figure 3
d)
Figure 4
25.
Which figure shows a set of parallel lines?
a)
Figure 1
b)
Figure 2
c)
Figure 3
d)
Figure 4
26.

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

27.

Two lines that are parallel will have ...

a)

Slope that is opposite reciprocals

b)

No slope

c)

Slope that is the same

d)

none of the above

28.
Congruent figures are the _______ shape and _______ size.
a)
Different, Same
b)
Same, Same
c)
Same, Different
d)
Different, Different
29.
Name the image
a)
Line
b)
Ray
c)
Line segment
d)
Angle
30.
Name the image
a)
Line segment
b)
Line
Ray
c)
Point
Point
d)
Ray
Line Segment
31.
Name the Image. 
a)
Ray
b)
Point
c)
Line
d)
Line segment
32.
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.
33.
A plane is named by...
a)
Any 1 point on the plane.
b)
Any 3 collinear points on the plane or a lowercase script letter.
c)
Any 3 non-collinear points on the plane or an uppercase script letter.
d)
All points on the plane that aren't part of a line.
34.
How would you describe points I, L, C?
a)
collinear
b)
non-coplanar
c)
symmetric
d)
coplanar
35.
Determine if the object represents a POINT, LINE or a PLANE.
1) railway
a)
POINT
b)
LINE
c)
PLANE
36.
Determine if the object represents a POINT, LINE or a PLANE.
3) chessboard
a)
POINT
b)
LINE
c)
PLANE
37.
Determine if the object represents a POINT, LINE or a PLANE.
4) tip of a needle
a)
POINT
b)
LINE
c)
PLANE
38.

Which of the following is the correct way to name this plane?

a)
b)
c)
d)
39.

With how many points do you name a line?

a)

one

b)

two

c)

three

40.

How did you feel about the lesson check? Your grade will count as a test grade.

a)

Good. I know the basic concept.

b)

Alright, I need to study more and pay attention.

c)

Terrible, I was clueless and I did not study.

41.

The Triangle Sum Theorem states that the sum of all angles in a triangle is (a)   degrees.

42.

Find the measure of the missing angle.

(a)  

43.

Find the measure of the indicated angle.

(a)  

44.

Find the measure of each angle indicated.

(a)  

45.

Find the measure of each angle indicated.

(a)  

46.

Find the measure of each angle indicated.

(a)  

47.

Find the measure of each angle indicated.

(a)  

48.

Find the measure of each angle indicated.

(a)  

49.

If two angles in a triangle are 45°45\degree  and  75°\ 75\degree , what is the measure of the third angle?

(a)  

50.

Find the measure of the missing angle.

(a)  

51.
Which of the following terms best describes Angle d?
a)
Remote interior angle
b)
Corresponding angle
c)
Exterior angle
d)
Interior angle
52.

What is the measure of angle b?

(a)  

53.

Solve for x.

(a)  

54.

Find the measure of angle x.

(a)  

55.

Find the measure of each angle indicated.

(a)  

56.

Find the measure of each angle indicated.

(a)  

57.

Solve for x.

(a)  

58.

What is the measure of angle A in the triangle?

(a)  

59.

If m∠ABC = 103° find x.

(a)  

60.

Given mQST = 135°, find the value of x.

a)

x = 26

b)

x = 28

c)

x = 27

d)

x = 29

61.

S is in the interior of ∠TRQ.

If m∠TRS = (4x)°, m∠SRQ = (7x)°, and m∠TRQ = 88°. Find x.

(a)  

62.
This is what kind of angle?
a)
obtuse
b)
right
c)
straight
d)
acute
63.
a)

x = 5°

b)

x = 11°

c)

x = 33°

d)

x = 55°

64.

What type of angle has a measurement of 90o?

a)

acute

b)

obtuse

c)

right

d)

straight

65.

What type of angle has a measurement of 155o?

a)

acute

b)

obtuse

c)

right

d)

straight

66.
The point where 2 rays meet is called the....
a)
right angle
b)
acute angle
c)
vertex
d)
congruent
67.
An angle is made up of two _____________ that share a common ________________. 
a)
rays, endpoint
b)
endpoint, rays
c)
vertexes, name
d)
angles, point
68.

Name the angle form by lines DE and EF in the long form.

a)

∠D

b)

∠f

c)

∠FED

d)

∠FDE

69.

Name the angle form by lines KL and ML in the long form.

a)

∠LMK

b)

∠KML

c)

∠KLM

70.

A straight angle is ...

a)

An angle that is exactly equal to 90 degrees

b)

An angle that is greater than 90 degrees but less than 180 degrees

c)

An angle that is less than 90 degrees

d)

An angle that is exactly equal to 180 degrees

71.

Name the vertex of the angle.

a)

E

b)

F

c)

D

d)

E, F, and D are vertices

72.

Find the length of BC\overline{BC}  .

a)

4

b)

-4

c)

5

d)

-5

73.

Find the length of AB\overline{AB}  

a)

1

b)

-1

c)

0

d)

-4

74.

Find the length of AF\overline{AF}  

a)

5

b)

-5

c)

4

d)

3

75.

What is the correct postulate for the figure?

a)

AM + MB = AMB

b)

AB + AM = MB

c)

AM + MB = AB

d)

A + B = AMB

76.

What is the length of PR?

a)

11

b)

8

c)

5

d)

3

77.

What is the length of YZ?

a)

39

b)

139

c)

37

d)

31

78.

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

79.

Solve for x.

a)

5

b)

7

c)

14

d)

21

80.

Use Segment Addition Postulate to write and equation and solve for x.

a)

x = 3

b)

x = 2

c)

x = 6

d)

x = 5

81.

What is the measure of the angle?

a)

50°

b)

65°

c)

75°

d)

70°

82.

What is the measure of the angle?

a)

25°

b)

45°

c)

60°

d)

35°

83.

What type of angle is this?

How many degrees does it measure?

Select and answer for each question.

a)

Acute

b)

Obtuse

c)

169°

d)

11°

e)

16°

84.

Calculate m∠ABC.

a)

45°

b)

60°

c)

105°

d)

15°

85.

Find mEFG

a)

37°

b)

18°

c)

56°

d)

19°

86.

Find m∠A.

a)

25°

b)

30°

c)

35°

d)

90°

87.
a)

50°

b)

58°

c)

115°

d)

226°

88.

If m∠ABC = 103° find x.

(a)  

89.

Given mQST = 135°, find the value of x.

a)

x = 26

b)

x = 28

c)

x = 27

d)

x = 29

90.
Name the Image
a)
Angle
b)
Line
c)
Line Segment
d)
Ray
91.

A flat surface made up of points that has two dimensions and extends without end.

a)
Point
b)
Plane
c)
Angle
d)
Line
92.
Points that lie on the same line are _________.
a)
coplanar
b)
collinear
c)
parallel
d)
perpendicular
93.
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.
94.
How many points do you need to make a line?
a)
1
b)
at least 2
c)
3
d)
4
95.
Name two points collinear to Point K
a)
H & M
b)
J & L
c)
N & J
d)
M & L
96.
Give another name for plane Q.
a)
Plane FEGI
b)
Plane FEG
c)
Plane m
d)
Plane FGI
97.

An example of coplanar points

a)

D, E, F

b)

B, E, C

c)
M, E, C
d)
A, F, E
98.
A line that contains point M.
a)
Line q
b)
Line p
c)
Line r
d)
Line NH
99.
An example of 2 non-collinear points.
a)
D, E
b)
C, B
c)
M, E
d)
F, B
100.
a)

Ray

b)

Plane

c)

Line

d)

Segment

101.

Which 3 Points are Collinear?

a)

D,E,F

b)

G,D,E

c)

H,G,E

d)

G,E,F

102.

Given A, B, and C are collinear points on a segment AC. Find the length of BC, if AB = 7 units and AC = 18 units.

a)

12

b)

11

c)

25

d)

10

103.

Determine the measure of BC if AC = 32

a)

17

b)

18

c)

19

d)

16

104.

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

a)

3

b)

44

c)

5

d)

6

105.

If points A, B, C are collinear with B between A and C, the segment addition postulate is:

a)

AB + BC = AC

b)

BA + CB = AC

c)

CA + CB = AB

d)

BC + AC = CA

106.
Find HG.
a)
8
b)
9
c)
10
d)
11
107.
XY =
a)
6
b)
28
c)
11
d)
7
108.
Solve for x
a)
x = 2
b)
x = 4
c)
x = 6
d)
x = 8
109.
Find AC
a)
7
b)
8
c)
22
d)
23
110.

Given the diagram, which is correct?

a)

BC+CD=BD

b)

BD+BC=CD

c)

BD+BC=BC

d)

BC+BD=CD

111.
Find KL.
a)
18
b)
15
c)
6
d)
20
112.

What is the distance between AB

a)

0

b)

8

c)

9

d)

7

113.

What is the distance between AB?

a)

0

b)

undefined

c)

5

d)

4

114.

A(3,1) B(-2,-1) written correctly is:

a)

(23)2 + (11)2\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}

b)

(13)2 + (12)2\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}

c)

(23)2  (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

d)

(23)2  (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

115.

Use the Distance Formula to find the distance between:

(8,8) and (3,-4)

(a)  

116.

Use the Distance Formula to find the distance between:

(-6,-3) and (-4,-8)

a)

5.3

b)

7.1

c)

6.6

d)

4.8

117.
Find the distance between (3, 24) and (7, 56).
a)
32.1
b)
32.2
c)
32.3
d)
32.4
118.
Find the distance between (-5, -8) and (-1, -16).
a)
8.9
b)
9.8
c)
10.3
d)
11
119.
Find the distance between (2, -75) and (10, 235).
a)
305.5
b)
308.6
c)
310.1
d)
315.3
120.
Find the distance between (-4, 5) and (7, 18).
a)
15.96
b)
16.08
c)
16.23
d)
17.03
121.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
122.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
123.

What is the ordered pair for point J?

a)

(-5,4)

b)

(-5,3)

c)

(-5,5)

d)

(-5, 2)

124.

What is the ordered pair of point K?

a)

(3,2)

b)

(3,3)

c)

(2,3)

d)

(3, -3)

125.

What is the distance formula?

a)

a

b)

b

c)

c

d)

d

126.

Which of the following is the correct midpoint formula given two endpoints (x1, y1) and (x2, y2)?

a)
b)
c)
d)
127.

Find the midpoint:

a)


(3,1)\left(3,-1\right)

b)

(1,3)\left(-1,3\right)

c)

(3,4)\left(3,4\right)

d)

(4,3)\left(4,3\right)

128.

Find the midpoint: (2,7),(10,1)\left(2,-7\right),\left(10,1\right)  

a)

(-3,6)

b)

(6,-3)

c)

(4,4)

d)

none

129.

What is the midpoint of the segment with endpoints (1, 9) and (-3, 5)?

a)

(-1, 7)

b)

(2, 7)

c)

(7, -1)

d)

(2, 2)

130.

Find the other endpoint of the line segment with the given endpoint (1,-9) and midpoint (-9,3)

a)

(-19,15)

b)

(5,-6)

c)

(-4,-3)

d)

(6,2)

131.

Find the other endpoint of the line segment with the given endpoint (4,0) and midpoint (-2,8)

a)

(3,-4)

b)

(-8,16)

c)

(2,3)

d)

(5,9)

132.
Find the measure of PQ
a)
PQ=4
b)
PQ=2
c)
PQ=8
d)
PQ=16
133.

Use the picture to write the correct Segment Addition statement.

a)

AB + BC = AC

b)

BC + BA = BC

c)

BA + AC = BC

d)

AB + BA = AC

134.
Find the endpoint of the segment with the endpoint of  (-4, 5) and midpoint of (7, -9) 
a)
(18, -23)
b)
(13, 18)
c)
(11,4)
d)
(1.5, -2)
135.
a)

(3, 1)

b)

(3.5, 1)

c)

(4, 1)

d)

(2, 0)

136.
Find the slope
a)
4/5
b)
5/4
c)
-5/4
d)
-4/5
137.
Find the slope
a)
-5/7
b)
7/5
c)
-7/5
d)
5/7
138.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
139.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
140.
Find the slope:
(-3, 3) and (7, 6)
a)
3/4
b)
-4/3
c)
3/10
d)
-10/3
141.

Find the slope:

a)

34\frac{3}{4}

b)

43\frac{4}{3}

c)

14\frac{1}{4}

d)

31\frac{3}{1}

142.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
143.

What is the slope of the line that passes through these two points (0, -2) and (3, -4)?

a)

2/3

b)

-2/3

c)

3

d)

-2

144.

What is the slope of the line that passes through these two points (8, 4) and (5, 3)?

a)

3

b)

-1

c)

-1/3

d)

1/3

145.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3
146.
Find the slope of the line that passes through:
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
147.
Find the slope of the line that passes through: 
(2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
148.
Find the slope of the line that passes through: 
(2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
149.

Find the slope of the line that goes through the points

(−11,−5) and (1,−12)

a)

58-\frac{5}{8}  

b)

1611\frac{16}{11}  

c)

16\frac{1}{6}  

d)

712-\frac{7}{12}  

150.

Find the slope of the line that goes through the points

(−1,−2) and (−3,−4).

a)

1

b)

2

c)

3

d)

4

151.

Find the slope of the line that goes through the points


(−11,−5) and (1,−12)

a)

58-\frac{5}{8}

b)

1611\frac{16}{11}

c)

16\frac{1}{6}

d)

712-\frac{7}{12}

152.
Find the slope given the points (2, −7) and (−1, 6). 
a)
-13/3
b)
13/3
c)
0
d)
2/3