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Worksheets

Geometry Review

Total questions: 93

Worksheet time: 9hrs 1mins

Name
Class
Date
1.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
2.

The special pair of angles shown are:

a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
angle bisector
3.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
4.

Two angles added together to equal 90 degrees are:

a)

Supplementary

b)

Complementary

c)

Right

d)

Vertical

5.
These angles are...
a)
Complementary
b)
Supplementary
c)
Neither
6.

Supplementary Angles add up to _____ degrees.

a)
180
b)
55
c)
100
d)
90
7.
Find the value of x.
a)
18°
b)
28°
c)
38°
d)
118°
8.
What is the supplement angle to 42°?
a)
48°
b)
138°
c)
100°
d)
Not possible
9.

Find MK.

a)

6

b)

4

c)

14

d)

8

10.
Find the value of x.
a)
15
b)
16
c)
18
d)
19
11.
A point that divides, or bisects, a segment into two congruent segments
a)
Midpont
b)
Vertex
c)
Bisector
d)
Intersection
12.

Find the m ∠A.

a)

79 degrees

b)

87 degrees

c)

90 degrees

d)

97 degrees

13.

Lines that intersect and create a

right angle are called:

a)

line segments

b)

parallel lines

c)

perpendicular lines

d)

ray

14.
If the measure of ∠2 is 83°, what is the measure of ∠3?
a)
b)
17°
c)
83°
d)
97°
15.
Vertical angles are always
a)
acute
b)
total 180 degrees
c)
congruent (equal measures)
d)
adjacent angles
16.

4x+3=29-4x+3=-29  

a)

x=4x=4  

b)

x=6x=6  

c)

x=2x=2  

d)

x=8x=8  

17.

5x1=16-5x-1=-16  

a)

x=3x=3  

b)

x=4x=-4  

c)

x=2x=2  

d)

x=5x=5  

18.
Solve:
10x + 9 = 4x - 9
a)

x = 0

b)

x = 3

c)

x = -3

d)

x = -18

19.

4k + 24 = 6k -10

a)

k = 17

b)

k =-17

c)

k= 5

d)

k = 1/5

20.
Find the slope of the line through each pair of points.
(20,8), (9,16)
a)
-16
b)
-11/8
c)
8/11
d)
-8/11
21.
Find the slope of the line through each pair of points.
(1,-19), (-2,-7)
a)
26/1
b)
9/4
c)
-4
d)
-1/4
22.
What is the distance between the two points?
a)
√40 ≈ 6.32
b)
√32 ≈ 5.66
c)
√20 ≈ 4.47
d)
none of these
23.
Find the distance.
a)
√95
b)
√115
c)
√136
d)
√162
24.
Find the midpoint of the segment with the endpoints:
(6, 7) and (6, -5) 
a)
(0, -1)
b)
(6, 1)
c)
(1, 6)
d)
(0, 1)
25.
Find the midpoint of the segment with the endpoints: 
(-4, 5) and (7, -9) 
a)
(-1.5, 2)
b)
(5.5, -7)
c)
(-2, 1.5)
d)
(1.5, -2)
26.
What will the same slopes tell you about the quadrilateral?
a)
Opposite sides are parallel
b)
Opposite sides are congruent
c)
Diagonals are congruent
d)
Diagonals bisect each other
27.
We use the distance formula to do what?
a)
See if opposite sides are parallel
b)
See if opposite sides are congruent
c)
See if diagonals have the same slope
d)
See if diagonals bisect each other
28.
How do you show the diagonals are congruent?
a)
Measure them with a ruler
b)
Use the midpoint formula
c)
Use the slope formula
d)
Use the distance formula
29.
How do you show diagonals are perpendicular?
a)
They would have opposite reciprocal slopes
b)
They would have the same slope
c)
They would have the same midpoint
d)
They would look perpendicular
30.
How do you show diagonals bisect each other?
a)
Use the distance formula-they would have the same length
b)
Use the midpoint formula-they would be the same
c)
Use the slope formula-they would have opposite reciprocal slopes
d)
Hope I don't have to show this on the test
(Really???)
31.
How do you show diagonals bisect each other?
a)
Use the distance formula-they would have the same length
b)
Use the midpoint formula-they would be the same
c)
Use the slope formula-they would have opposite reciprocal slopes
d)
Hope I don't have to show this on the test
(Really???)
32.
How do you show consecutive sides are perpendicular?
a)
They would have opposite reciprocal slopes
b)
They would have the same slope
c)
They would have the same midpoint
d)
They would look perpendicular
33.
Name two points collinear to Point K
a)
H & M
b)
J & L
c)
N & J
d)
M & L
34.
Find the distance between ( 1, 3) and (5, 6) 
a)
3
b)
4
c)
5
d)
6
35.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
36.
Find the distance between (-3, -11) and (8, -42).
a)
32.1
b)
32.3
c)
32.7
d)
32.9
37.
Find the distance between (-5, -8) and (-1, -16).
a)
8.9
b)
9.8
c)
10.3
d)
11
38.

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

39.

Find the midpoint: (3,9),(1,5)\left(3,9\right),\left(-1,-5\right)  

a)

(1,2)\left(-1,-2\right)  

b)

(2,7)\left(2,7\right)  

c)

(2,7)\left(-2,-7\right)  

d)

(1,2)\left(1,2\right)  

40.

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)

41.
a)
8
b)
12
c)
-4
d)
-8
42.

If RT=36, find the value of x.

a)

3

b)

4

c)

5

d)

6

43.

If T is the midpoint of SU, find x.

a)

3

b)

4

c)

5

d)

2

44.
B is the midpoint of AC.  Find AB.
a)
2
b)
16
c)
8
d)
4
45.

If m∠ABC = 103° find x.

(a)  

46.

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

a)

x = 26

b)

x = 28

c)

x = 27

d)

x = 29

47.
a)

x = -6

b)

x = -9

c)

x = -1

d)

x = -10

48.
a)

x = 5

b)

x = 7

c)

x = 8

d)

x = -4

49.

What type of angles are highlighted above?

a)

Alternate Exterior Angles

b)

Consecutive Interior Angles

c)

Corresponding Angles

d)

Alternate Interior Angles

50.

What is the length of DE?

(a)  

51.
What is an "Acute" Angle
a)
Angle that measures 180
b)
An Angle that measure 90
c)
An angle that measures more than 90
d)
An angle that measures less than 90
52.
Angles whose measure sum up to 180 degrees.
a)
Vertical
b)
Adjacent
c)
Complementary
d)
Supplementary
53.
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
54.

I am an angle that measures

exactly 90 degrees. Who am I?

a)

acute

b)

obtuse

c)

right

d)

straight

55.

Parallel lines have the ______ slope.

a)

opposite reciprocal

b)

same

c)

negative

56.

Solve for x. (Just type the number, not x = )

(a)  

57.

If lines are parallel with a transversal, then these two angles are?

a)

Vertical Angles

b)

Corresponding Angles

c)

Exterior Alternative

d)

Interior Alternative

58.

If lines are parallel with a transversal, then these two angles are?

a)

Opposite Side Angles

b)

Supplementary

c)

Same Side Interior

d)

Vertical Angles

59.

If lines are parallel with a transversal, then these two angles are?

a)

Corresponding Angles

b)

Exterior Alternate Angles

c)

Interior Alternate Angles

d)

Vertical Angles

60.

What is the supplement to an angle that measures 58 degrees?

a)

58

b)

180

c)

132

d)

122

61.

If lines are parallel with a transversal, then these two angles are...

a)

Supplementary Angles

b)

Corresponding Angles

c)

Alternate Exterior Angles

d)

Parallel Angles

62.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
63.

Find the measure of x.

a)

40

b)

50

c)

35

d)

80

64.

Find the measure of y.

a)

50

b)

140

c)

40

d)

80

65.
Find the measure of angle 1.
a)
28o
b)
136o
c)
44o
d)
6o
66.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
67.
What is the relationship of the angles?
a)
Corresponding angles
b)
Consecutive Interior
c)
Alternate Interior
d)
Alternate Exterior
68.
Solve for x
a)
6
b)
140
c)
20
d)
90
69.
Find the slope of the line passing through the points (5,3) and (6,9).
a)
-6
b)
1/6
c)
-1/6
d)
6
70.
What is the slope parallel to the given line?
a)
-7/3
b)
3/7
c)
-3/7
d)
7/3
71.
Identify the correct statement.
a)
∠1 & ∠2
are corresponding angles
b)
∠2 & ∠4
are corresponding angles
c)
∠5 & ∠8
are corresponding angles
d)
∠1 & ∠5
are corresponding angles
72.
What is the value of x?
a)
22
b)
26
c)
24
d)
23
73.
What is the measure of ∠ABC?
a)
25°
b)
75°
c)
108°
d)
150°
74.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
75.
What type of angle pair is ∠1 and ∠3?
a)
alternate interior angles
b)
 supplementary angles
c)
corresponding angles
d)
vertical angles 
76.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
77.
Write the equation of a line that contains the point (3, 5) and is perpendicular to the line: y=(1/4)x+6
a)
y=(1/4)x+10
b)
y=-4x+17
c)
y=4x+5
d)
y=-4x+5
78.
What is the slope of the line perpendicular to y=(-5/2)x+7
a)
-5/2
b)
5/2
c)
-2/5
d)
2/5
79.
Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,8)   Midpoint (0,9)
a)
(-9, 10)
b)
(1.5, -1)
c)
(4.5, -0.5)
d)
(8.5, 4.5)
80.

What is an equation in point-slope form for the line perpendicular to y = 2x + 13 that contains (8, –4)?

a)

y + 4 = - (1/2)(x – 8)

b)

x + 4 = 2(y – 8)

c)

y + 4 = 2(x – 8)

d)

y + 8 = - (1/2)(x – 4)

81.

Is the line through points P(–3, –2) and Q(2, 3) perpendicular to the line through points R(10, –1) and S(15, –6)? Explain.

a)

No, their slopes are not opposite reciprocals.

b)

No, their slopes are not equal.

c)

Yes, their slopes are opposite reciprocals.

d)

Yes, their slopes are equal.

82.

What is the equation in point-slope form for the line parallel to y = 5x – 4 that contains P(–6, 1)?

a)

x – 1 = –5(y + 6)

b)

y + 1 = 5(x + 6)

c)

y – 1 = –5(x + 6)

d)

y – 1 = 5(x + 6)

83.
Write the equation of the perpendicular bisector of the line AB given:
A(3,-3) & B(1,-1)
a)
y = x - 4
b)
y = x + 4
c)
y = 1/2x -4
d)
y = x + 2
84.
Write the equation of the perpendicular bisector of the line AB given:
A(3,1) & B(-3,6)
a)
y = -5/6x + 7/2
b)
y = 6/5x + 9/2
c)
y = 6/5x + 7/2
d)
y = 6/5x + 4
85.

What is the equation in point-slope form for the line parallel to y = 5x – 4 that contains P(–6, 1)?

a)

x – 1 = –5(y + 6)

b)

y + 1 = 5(x + 6)

c)

y – 1 = –5(x + 6)

d)

y – 1 = 5(x + 6)

86.

What is an equation in point-slope form for the line perpendicular to y = 2x + 13 that contains (8, –4)?

a)

y + 4 = - (1/2)(x – 8)

b)

x + 4 = 2(y – 8)

c)

y + 4 = 2(x – 8)

d)

y + 8 = - (1/2)(x – 4)

87.
Which line is perpendicular to
y = 2x - 7  ?
a)
y = -2x + 8
b)
y = 1/2x - 7 
c)
y = -1/2x + 2
d)
y = 2x - 3 
88.
y = - 2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
89.

Slopes of perpendicular lines are...

a)

opposite reciprocals

b)

opposites

c)

identical

d)

nothing

90.

The slopes of parallel lines are...

a)

the same

b)

opposite

c)

always different

91.

Rewrite in slope intercept form.

a)

y=3/4x-6

b)

y=-4/3x+3

c)

y=4/3x-3

d)

y=3/4x+6

92.

Rewrite in slope-intercept form

2x + y = 3

a)

y = 2x - 3

b)

y = 2x + 3

c)

y = -2x + 3

d)

y = 3 + 2x

93.

Rewrite this equation in slope intercept form (y = mx. + b):

6x - 2y = 10

a)

2y = 6x - 10

b)

y = -3x - 5

c)

y = 3x - 5

d)

y = -3x + 5