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1st Semester Exam Review- Geometry

Total questions: 82

Worksheet time: 6hrs 31mins

Name
Class
Date
1.
Solve for x:
8x - 10 = -34
a)
4
b)
3
c)
-3
d)
-24
2.
Solve   -3x + 5 = -16
a)
9
b)
8
c)
-7
d)
7
3.
Solve  9 + 3x = 10
a)
2/3
b)
1/3
c)
-1/3
d)
4
4.
Solve: x + 3x - 2x = 12
a)
2
b)
6
c)
-2
d)
-6
5.
Solve:
3(x - 2) = 18
a)
6.7
b)
4
c)
8
d)
-4
6.

x2+3=3\frac{x}{-2}+3=-3  

a)

x=0x=0  

b)

x=12x=12  

c)

x=3x=-3  

d)

x=6x=-6  

7.

4x+3=29-4x+3=-29  

a)

x=4x=4  

b)

x=6x=6  

c)

x=2x=2  

d)

x=8x=8  

8.

x11+8=6\frac{x}{-11}+8=6  

a)

x=22x=-22  

b)

x=1x=1  

c)

x=11x=11  

d)

x=22x=22  

9.
3y+6+4y-7=-8
a)
y=-1
b)
y=-8
c)
y=1
d)
y=7
10.
Solve: 5x - 14 = 8x + 4
a)
6
b)
-6
c)
-18/13
d)
10/3
11.

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

a)
b)
c)
d)
12.
An example of 2 non-collinear points.
a)
D, E
b)
C, B
c)
M, E
d)
F, B
13.
How would you describe points I, L, C?
a)
collinear
b)
non-coplanar
c)
symmetric
d)
coplanar
14.
Where does line DC intersect plane P?
a)
E
b)
D
c)
C
d)
B
15.

How many planes are present?

a)

4

b)

5

c)

6

d)

7

16.

What is another name for line p?

a)

CD\overleftarrow{C}\overrightarrow{D}  

b)

line eline\ e  

c)

AB\overleftarrow{A}\overrightarrow{B}  

17.

Where does line p and plane R intersect?

a)

line m

b)

point C

c)

plane Q

d)

point M

18.

A part of a line that has two endpoints and includes all of the points in between.

a)

Point

b)

Angle

c)

Line

d)

Line Segment

19.

A part of a line that has one endpoint and continues infinitely in the other direction.

a)

Line Segment

b)

Line

c)

Ray

d)

Point

20.

Identify the image

a)

Angle

b)

Line

c)

Line Segment

d)

Ray

21.

Name the line that contains point M.

a)

Line q

b)

Line p

c)

Line r

d)

Line NH

22.
An example of 2 non-collinear points.
a)
D, E
b)
C, B
c)
M, E
d)
F, B
23.

What is the measure of ∠BAD?

a)

123o

b)

23o

c)

90o

d)

180o

24.

The measure of ∠BAD = 110°. What is the measure of ∠CAD?

a)

82o

b)

90o

c)

72o

d)

62o

25.

Angles A and B are COMPLEMENTARY. Angle A has a measure of 30 degrees, what is the angle measure of angle B?

a)

30 degrees

b)

60 degrees

c)

90 degrees

d)

180 degrees

26.

Angles C and D are SUPPLEMENTARY. Angle C has a measure of 30 degrees, what is the angle measure of angle D?

a)

30 degrees

b)

60 degrees

c)

150 degrees

d)

180 degrees

27.
Find the missing angle.  Find x.
a)
20o
b)
70o
c)
160o
d)
180o
28.
What is the value of x?
a)
37
b)
72
c)
108
d)
18
29.

Calculate the missing measurement

a)

85 degrees

b)

90 degrees

c)

25 degrees

d)

45 degrees

30.

What is the definition of a complementary angle?

a)

Two angles that have the same measure

b)

A straight line that equals 180 degrees

c)

Two angles that measure 90 degrees

d)

Two angles that measure 180 degrees

31.

What is the definition of a supplementary angle?

a)

Two angles that measure 180 degrees

b)

A right angle

c)

Two angles that measure 90 degrees

d)

Two angles that have the same measure

32.

What is an example of a pair of complementary angles?

a)

45° and 48°

b)

79° and 30°

c)

150° and 32°

d)

36° and 54°

33.

Find the missing angle.

a)

28°

b)

118°

c)

62°

d)

180°

34.

Find the value of x.

a)

103

b)

10

c)

3

d)

70

35.
Solve for x
a)
20
b)
25
c)
120
d)
180
36.
Solve for x
a)
5
b)
90
c)
25
d)
10
37.

Find AC

a)

7

b)

8

c)

22

d)

23

38.

If AB = 2x+3, BC = 3x-5, and AC = 38, what is the value of x ?

a)

11

b)

12

c)

8

d)

5

39.
Solve for x
a)
x = 2
b)
x = 4
c)
x = 6
d)
x = 8
40.
Find ST.
a)
11
b)
12
c)
13
d)
14
41.
Find AB.
a)
69
b)
20
c)
19
d)
11
42.
Use the figure to write and solve an equation for x.
a)
5
b)
6
c)
7
d)
8
43.

The length between (3, 8) and (-2, -4) is ______?

d=(x2x1)2+(y2y1)2d=\sqrt{\left(x_2^{ }-x_1\right)^2+\left(y_2-y_1\right)^2}  

a)

√17

b)

13

c)

17

d)

169

44.

What is the distance between JK, where J(4,3) and K(2, -3)?

d=(x2x1)2+(y2y1)2d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}  

a)

√ ̅3̅2̅

b)

40

c)

32

d)

√ ̅4̅0̅

45.

What is the midpoint between (3, -1) and (7, -5)?

(x1+x22,y1+y22)\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)  

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

46.

What is the midpoint between (3, -1) and (7, -5)?

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

47.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
48.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3
49.
Find the slope of the line that passes through:
(6,7) and (4,2)
a)
2/5
b)
-5/2
c)
5/2
d)
-1/2
50.
Find the slope of the line that passes through: 
(2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
51.
Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2
a)
Parallel
b)
Perpendicular
c)
Neither
52.

Are these two lines parallel, perpendicular or neither?

y = -1/4 x - 5

y = 4x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

53.

Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 10

a)

y=12x-10

b)

y=10x+12

c)

y=12x+10

d)

x=10x-12

54.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
55.

What is the slope of the line with the equation
y = 32x + 4y\ =\ -\frac{3}{2}x\ +\ 4  

a)

32-\frac{3}{2}  

b)

32\frac{3}{2}  

c)

44  

d)

4-4  

56.

What is the y-intercept of the line with the equation
y = 2x + 4y\ =\ -2x\ +\ 4  

a)

2-2  

b)

22  

c)

44  

d)

4-4  

57.

Graph the line with the equation
y = 23x + 4y\ =\ -\frac{2}{3}x\ +\ 4  

a)
b)
c)
d)
58.

Graph the line with the equation
y = 13x  4y\ =\ -\frac{1}{3}x\ -\ 4  

a)
b)
c)
d)
59.
What is the equation of this line?
a)
y = 2x +2
b)
y = 2x -2
c)
y = -x + 2
d)
Cannot be Determined
60.
Write the equation of the line.
a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
61.
What slope is parallel to:  
m = 3/4
a)
4/3
b)
3/4
c)
-3/4
d)
-4/3
62.
What slope is perpendicular to:  
m = 5/8
a)
-5/8
b)
5/8
c)
-8/5
d)
8/5
63.
y = 5/7x +2
y = 5/7x - 30
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
64.
y = 6x + 2
y = -6x + 2
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
65.
What type of slope does the graph have?
a)
Positive
b)
Negative
c)
Zero Slope
d)
Undefined
66.
Write in slope intercept form
5x - 3y = -9
a)
y = (5/3)x - 3
b)
y = (5/3)x + 9
c)
y = (5/3)x + 3
d)
y = (3/5)x + 3
67.
Write the equation in slope-intercept form:
-3y + 5x = 12
a)
y = -4 + 5x
b)
y = -4 + 5/3x
c)
y = 4 - 5/3x
d)
y = 12 + 5x
68.
Write the equation in slope-intercept form:
-3y + 5x = 12
a)
y = -4 + 5x
b)
y = -4 + 5/3x
c)
y = 4 - 5/3x
d)
y = 12 + 5x
69.
What is the slope intercept form of the equation
4x - 8y = 72
a)
y = -4x + 72
b)
y = -4x - 9
c)
y = 1/2x - 9
d)
y = 4x + 9
70.

Write an equation that is parallel to -4x + 2y = 10 and passes through the point (2, -1)

a)

y = 2x + 5

b)

y = 5/2 + 5x

c)

y = 2x - 5

d)

y = -2x + 3

71.

Write an equation that is parallel to

3x + 3y = 12 and passes through the point (3, 4)

a)

y = -x + 7

b)

y = -3 - x

c)

y = x + 1

d)

y = -x/3

72.

Write an equation that is perpendicular to 4x – 3y = 6 and passes through the point (8, -3)

a)

y = -3/4x + 4

b)

y = -2x + 13

c)

y = -3/4x + 3

d)

y = -2x - 3

73.

Write an equation that is perpendicular to y = 2 and passes through the point (3, -1)

a)

x = -1

b)

y = x

c)

x = 3

d)

y = -5

74.

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

75.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
76.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
77.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
78.
a)
alternate interior angles
b)
alternate exterior angles
c)
vertical angles
d)
corresponding angles
79.
a)
∠B=82°
b)
∠B=98°
c)
∠B=180°
d)
∠B=8°
80.

If the  m7 = 115°,m\angle7\ =\ 115\degree,  find the measure of  2.\angle2.  

a)

115°115\degree  

b)

65°65\degree  

c)

180°180\degree  

d)

Cannot be determined

81.

If the  m5 = 63°,m\angle5\ =\ 63\degree,  find the measure of  3.\angle3.  

a)

63°63\degree  

b)

117°117\degree  

c)

180°180\degree  

d)

Cannot be determined

82.

If the  m1 = 57°,m\angle1\ =\ 57\degree,  find the measure of  6.\angle6.  

a)

123°123\degree  

b)

57°57\degree  

c)

180°180\degree  

d)

Cannot be determined