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Geometry Midterm Exam Review!

Total questions: 104

Worksheet time: 26hrs 47mins

Name
Class
Date
1.
Find the area of the figure
a)
43 sq inches
b)
102 sq inches
c)
37 inches
d)
90 sq inches
2.
Calculate the area of the figure. 
a)
126 ft2
b)
39 ft2
c)
156 ft2
d)
80 ft2
3.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
the same.
d)
always 7.
4.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
identical.
d)
always 7.
5.
What slope is parallel to:  
m = 3/4
a)
4/3
b)
3/4
c)
-3/4
d)
-4/3
6.
What slope is parallel to:  
m = 4
a)
4
b)
-1/4
c)
-4
d)
1/4
7.
Write an equation for a line perpendicular to
y = -5x + 3 through (-5, -4)
a)
y = -3x + 1/5
b)
y = -3x - 1/5
c)
y = 1/5x - 3
d)
y = -1/5x - 3
8.
Write an equation of a line that passes through the point (5,-1) and is parallel to the line y = (-3/5)x -3
a)
y = (-3/5)x + 2
b)
y = (-3/5)x -2
c)
y = (3/5)x + 2
d)
y = (5/3) + 2
9.

Line 1: (15, 20), (17, 18)

Line 2: (-22, -18), (-20, -16)


The two lines are _____________________.

a)

Parallel

b)

Perpendicular

c)

Neither

10.

Line 1: (1, 2), (2, 3)\left(-1,\ 2\right),\ \left(2,\ 3\right)  
Line 2:  (0, 0), (3, 1)\left(0,\ 0\right),\ \left(3,\ 1\right)  
These two lines are ______________________

a)

Parallel

b)

Perendicular

c)

Neither

11.

Level 1

What is the slope of a line parallel to the line: -2x + y = - 7?

a)

-2

b)

1/2

c)

-1/2

d)

2

12.

Level 1

What is the slope of a line that is perpendicular to y = 2x - 7?

a)

-2

b)

1/2

c)

-1/2

d)

2

13.

Level 3:

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

14.

Level 3

Write the equation of a line that passes through the point (2, 6) and is perpendicular to the line y = -4x + 8.

a)

y = 1/4x + 5.5

b)

y = 4x + 6

c)

y = -1/4x + 8

d)

y = -4x + 8

15.

Level 3

Given the line 2x-3y=9, write the equation of a line parallel to it that passes through the point (4, -1)

a)

y = 2/3x - 3

b)

y = 2/3x - 11/3

c)

y = 2/3x - 4

d)

y = 2/3x - 5/3

16.

Level 3

Given the line 2x-3y=9, write the equation of a line perpendicular to it that passes through the point (4, -1)

a)

y = -3/2x - 7

b)

y = 2/3x + 4

c)

y = 2/3x - 1

d)

y = -3/2x + 5

17.
What is the sum of the exterior angles of a 20-gon?
a)
180
b)
360
c)
3240
d)
162
18.
Calculate the sum of the interior angle measures of a polygon with 25 sides.
a)
360 degrees
b)
4500 degrees
c)
335 degrees
d)
4140 degrees
19.
Find the value of x
a)
87°
b)
54°
c)
101°
d)
92°
20.
Find the value of x
a)
141
b)
150
c)
135
d)
163
21.
Find the sum of the interior of angles in a 12-gon
a)
1800
b)
1080
c)
1620
d)
1260
22.
What is the value of x?
a)
26.25
b)
38.75
c)
24
d)
25.125
23.
The sum of the interior angles in a polygon is 3,240o.  How many sides are in the polygon?
a)
10
b)
582,840
c)
18
d)
20
24.
Find the value of X.
a)
60
b)
120
c)
85
d)
55
25.

Find the value of x.

a)
110
b)
90
c)
130
d)
120
26.
Three of the angles in a quadrilateral have a sum of 252o.  What is the measure of the fourth angle?
a)
108o
b)
360o
c)
72o
d)
56o
27.
What is the sum of the interior angles for a      24-gon
a)
3960
b)
360
c)
15
d)
4280
28.
What is the measure of each interior angle of a regular octagon?
a)
135
b)
180
c)
145
d)
190
29.
Name the polygon with seven sides.
a)
dodecagon
b)
octagon
c)
heptagon
d)
hexagon
30.
What is the name of a 12-sided polygon
a)
Decagon
b)
Dodecagon
c)
Dozengon
d)
Noonagon
31.
What is the SUM of the angle measures in a nonagon (9 sides)?
a)
1440°
b)
900°
c)
1080°
d)
1260°
32.

Solve for x.

a)

80

b)

110

c)

17

d)

60

33.
Solve for x
a)
45
b)
12
c)
90
d)
2
34.
The sum of 5 angles of a hexagon is 600o What is the measure of the 6th angle?
a)
90o
b)
120o
c)
100o
d)
60o
35.
What is the measure of ONE interior angle in a regular hexagon (6 sides)?
a)
60°
b)
80°
c)
108°
d)
120°
36.
Determine the measure of the indicated angle.
a)
119°
b)
61°
37.
Determine the measure of the indicated angle.
a)
86°
b)
94°
38.
Determine the measure of one interior angle in regular heptagon.
a)
128.6°
b)
51.4°
c)
360°
d)
900°
39.
Determine the measure of one exterior angle in regular octagon.
a)
135°
b)
45°
c)
360°
d)
1080°
40.
Determine the interior angle sum for a regular hexagon.
a)
120°
b)
60°
c)
360°
d)
720°
41.
Determine the measure of the indicated angle.
a)
92°
b)
94°
c)
42°
d)
47°
42.
Find the value of x.
a)
74
b)
42
c)
180
d)
222
43.
Find the value of x.
a)
16
b)
16.7
c)
43.3
d)
49
44.
Find the value of x.
a)
50
b)
10
c)
4
d)
80
45.
Find the value of x.
a)
5
b)
75
c)
51
d)
81
46.
Find the value of x in the parallelogram RSTU.
a)
132
b)
75
c)
50
d)
12
47.
Find the value of x.
a)
-3
b)
11
c)
99
d)
20.6
48.
Find the value of x.
a)
135
b)
7
c)
9.8
d)
1080
49.
Find the value of x.
a)
18
b)
540
c)
180
d)
22.7
50.
Find the value of x.
a)
900
b)
128.6
c)
121
d)
56
51.
Consists of 2 endpoints and all the points in between.
a)
Ray
b)
Line
c)
Line Segment
d)
Angle
52.

part of a line that starts at an endpoint and extends forever in one direction

a)

line

b)

segment

c)

ray

d)

vertex

53.
This is a(n):
a)
Line
b)
Ray
c)
Angle
d)
Line Segment
54.
This is a(n):
a)
Line
b)
Ray
c)
Angle
d)
Line Segment
55.
This is a(n):
a)
Line
b)
Ray
c)
Angle
d)
Line Segment
56.

How many noncollinear points are needed to name a plane?

a)

3

b)

1

c)

2

d)

4

57.

Which Angle is Supplementary?

a)
b)
c)
58.

What is a complementary angle?

a)

Two angles whose sums add up to 900'

b)

Two angles whose sums add up to 180'

c)

Two angles whose sums add up to 190'

d)

Two angles whose sums add up to 90'

59.

Find the value of x

a)

X=65

b)

X=115

c)

X=25

d)

X=230

60.

What is <h in relation to <a(60')?

a)

Alternate exterior angle

b)

Alternate interior angle

c)

Corresponding

d)

Supplementary

61.

What is the measure of <g?

a)

g=105

b)

g=55

c)

g=125

d)

g=175

62.

Line L passes through the points

(0, -3) and(6, 9).

(a) Find the equation of line L.

(b) Find the equation of the line that is perpendicular to line L and passes through the point (0, 2).

a)


(a) y=2x3\left(a\right)\ y=2x-3 (b)y=12x+2\left(b\right)y=-\frac{1}{2}x+2

b)

(a) y=2x+3     \left(a\right)\ y=2x+3\ \ \ \ \ (b)y=2x+2\left(b\right)y=-2x+2

63.
Name the angle vertical to <PQM
a)
<JQM
b)
<MQP
c)
<LQJ
d)
<LQN
64.
Solve for X.
a)
100° 
b)
110° 
c)
150° 
d)
168° 
65.
Which is a pair of corresponding angle?
a)
Angle 1 & Angle 4
b)
Angle 2 & Angle 7
c)
Angle 8 & Angle 6
d)
Angle 3 and Angle 5
66.
Which is a pair of Alternate Interior Angles?
a)
Angle 1 & Angle 6
b)
Angle 2 & Angle 6
c)
Angle 3 & Angle 8
d)
Angle 5 & Angle 1
67.
Find the distance.
a)
2 square of 17
b)
4 square of 7
c)
2 square root of 34
d)
4 square root of 2
68.

Using the distance formula, which of the following is written correctly if point A has the coordinates (3,1) and B has the coordinates (-2,-1)

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}

69.
Find the distance between (-12, 1) and (12, -1).
a)
24.05
b)
24.06
c)
24.07
d)
24.08
70.
Find the distance between (-5, -8) and (-1, -16).
a)
8.9
b)
9.8
c)
10.3
d)
11
71.
Find the distance between (-4, 5) and (7, 18).
a)
15.96
b)
16.08
c)
16.23
d)
17.03
72.

What is the MIDPOINT between (-4,4) and (-2,2)?

a)

(3,2)

b)

(-3,3)

c)

(4,5)

d)

(6,7)

73.

The ratio is of line segment ABC is as follows... AB:BC is 3:1. What is the "k-value" of this line segment?

a)

3/4

b)

3/1

c)

3/7

d)

1/4

74.

The ratio is of line segment ABC is as follows... AB:AC is 3:8. What is the "k-value" of this line segment?

a)

3/11

b)

3/8

c)

1/8

d)

1/11

75.

Find the midpoint of the line segment with the given endpoints (-2,-6) and (8,8)

a)

(-4,8)

b)

(18,22)

c)

(3,1)

d)

(-5,-7)

76.

Find the midpoint of the line segment with the given endpoints (3,9) and (5,9)

a)

(-1,0)

b)

(4,9)

c)

(6,7)

d)

(7,9)

77.

Find the midpoint of the segment on the graph. (Hover over picture to expand)

a)

(1,0)

b)

(7,-9)

c)

(4,-3)

d)

(-1,2)

78.

Find the midpoint of the segment on the graph. (Hover over picture to expand)

a)

(2,3)

b)

(-1,2)

c)

(5,-3)

d)

(3,2)

79.
What is a regular polygon?
a)

Polygon with all sides congruent ONLY

b)

Polygon with all angles congruent ONLY

c)
Polygon with all sides and angles congruent
d)
Polygon with no sides or angles congruent
80.

The best description of these two shapes is

a)

Both convex

b)

Left one is convex and right one is concave

c)

Left one is concave and right one is convex

d)

Both concave

e)

Neither are convex or concave

81.

The name for this type of polygon is

a)

Nonagon

b)

Hexagon

c)

Octagon

d)

Heptagon

e)

Pentagon

82.

What shape has exactly 11 sides?

a)

nonagon

b)

heptagon

c)

hendecagon

d)

unodecagon

83.

What shape has exactly 13 sides?

a)

kite

b)

rhombus

c)

hendecagon

d)

tridecagon

84.
Two planes intersect at a...
a)
line
b)
point
c)
plane
d)

line segment

85.

Find MK.

a)

6

b)

4

c)

14

d)

8

86.
Find the value of x.
a)
15
b)
16
c)
18
d)
19
87.
A point that divides, or bisects, a segment into two congruent segments
a)
Midpont
b)
Vertex
c)
Bisector
d)
Intersection
88.

1) Given the two parallel lines cut by a transversal.


What is the vertical angle to angle 4?

a)

Angle 2

b)

Angle 6

c)

Angle 8

d)

Angle 7

89.

2) Given the following two parallel lines cut by a transversal.


Which pair of angles represents corresponding angles?

a)

1\angle1  and  6\angle6  

b)

6\angle6  and 5\angle5  

c)

7\angle7  and 8\angle8  

d)

4\angle4  and 8\angle8  

90.

3) Given the following two parallel lines cut by a transversal.


Which pair of angles represents alternate interior angles?

a)

3\angle3  and 8\angle8  

b)

7\angle7  and 2\angle2  

c)

7\angle7  and 8\angle8  

d)

4\angle4  and 8\angle8  

91.

4) Given the following two parallel lines cut by a transversal.


Which pair of angles represents alternate exterior angles?

a)

4\angle4  and 8\angle8  

b)

7\angle7  and 5\angle5  

c)

1\angle1  and  2\angle2  

d)

6\angle6  and  5\angle5  

92.
State the angle relationship and find the measure of angle 1
a)
Corresponding
110
b)
Alternate Exterior
110
c)
Corresponding
70
d)
Alternate Exterior
70
93.
State the angle relationship and find the measure of angle 1
a)
Alternate Interior
37
b)
Alternate Interior
143
c)
Corresponding
143
d)
Corresponding
37
94.

What is the correct EQUATION to find the value of x AND what is the value of x?

a)

X=12

b)

8X - 17 + 5X +19 = 180

c)

8X - 17 = 5X +19

d)

X= -12

95.

Solve for x.

a)

A

b)

B

c)

C

d)

D

96.

Find the measure of the angle indicated in bold.

a)

A

b)

B

c)

C

d)

D

97.

Solve for the value of x.

a)

55

b)

60

c)

65

d)

70

98.

What is the value of y?

a)
13
b)

48

c)
29.8
d)

132

99.
What is the value of x?
a)
22
b)
26
c)
24
d)
23
100.

The measure of the central angle for this regular pentagon would be how many degrees?

a)

108

b)

72

c)

90

d)

540

101.

The measure of the base angle for this regular pentagon would be how many degrees?

a)

60

b)

120

c)

80

d)

720

102.

Angle A is 10 degrees more than three times the measure of its complement, angle B. The measure of angle A (not B!) is:

a)

70

b)

80

c)

60

d)

20

103.

Angle A is 30 degrees more than four times the measure of its supplement, angle B. The measure of angle A (not B!) is:

a)

150

b)

130

c)

30

d)

80

104.

Find the area of the triangle.

a)

30 m2

b)

60 m2

c)

16 m

d)

30 m