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WorksheetsSOL Geometry Prep
Total questions: 77
Worksheet time: 3hrs 52mins
Name
Class
Date
1.
Find the slope of a line parallel to the line below.
y = 2x + 4
y = 2x + 4
a)
2
b)
-1/2
c)
1/2
d)
-2
2.
Determine the slope and y-intercept from the following equation: 2y = 3x + 6
a)
m: 2/3 b: (0,3)
b)
m: 3/2 b: (0,3)
c)
m: 4 b: (0,3/2)
d)
m: 1/5 b: (0,5)
3.
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
4.
Which of these angles is NOT congruent to angle 5?
a)
Angle 6
b)
Angle 8
c)
Angle 1
d)
Angle 4
5.
Solve.
a)
63, 27
b)
63, 33
c)
5, 33
d)
30, 60
6.
Solve for x.
a)
17
b)
2
c)
28
d)
13
7.
Find y.
a)
80
b)
100
8.
What is the REASON for Statement #6?
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality
9.
a)
115
b)
60
c)
55
d)
65
10.
Can the sides of a triangle have lengths 4, 11, and 13?
a)
Yes
b)
No
11.
A triangle has angle measurements of 163°, 2°, and 15°. What kind of triangle is it?
a)
acute triangle
b)
right triangle
c)
obtuse triangle
d)
none of the above
12.
A line, segment, or ray that passes through the midpoint of a side that is creates a 90 degree angle with that side.
a)
Perpendicular bisector
b)
Angle bisector
c)
Median
d)
Altitude
13.
Name the segment parallel to HJ
a)
MN
b)
NP
c)
MP
d)
HI
14.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
15.
Find x.
a)
22
b)
11√3
c)
11√2
d)
11
16.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
17.
Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.
a)
63 ft
b)
65 ft
c)
74 ft
d)
87 ft
18.
Find the measurement of the missing side indicated
a)
4.39
b)
3.21
c)
2.19
d)
2.05
19.
What is the special segment DE called?
a)
Altitude
b)
Median
c)
Angle Bisector
d)
Perpendicular Bisector
20.
What is the special segment AD called?
a)
Altitude
b)
Median
c)
Angle Bisector
d)
Perpendicular Bisector
21.
What is the special segment CD called?
a)
Altitude
b)
Median
c)
Angle Bisector
d)
Perpendicular Bisector
22.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
23.
The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?
11, 12, 15
11, 12, 15
a)
right
b)
obtuse
c)
acute
24.
The angle of 12o is a(n)
a)
angle of elevation
b)
angle of depression
c)
neither
d)
both
25.
Dustin is stuck at the top of a Ferris wheel. His mother is standing 38 feet from the base of the wheel watching him. If the angle of elevation from Dustin's mom to Dustin is 73o, how far off the ground is Dustin?
a)
118.2 ft
b)
120.9 ft
c)
124.3 ft
d)
126.5 ft
26.
Is the given angle of 70 degrees, an angle of elevation or an angle of depression?
a)
Angle of Elevation
b)
Angle of Depression
c)
Neither
d)
Both
27.
a)
24/32
b)
32/24
c)
32/40
d)
24/40
28.
Choose the correct ratio.
a)
cos(33)=x/14
b)
sin(33)=x/14
c)
cos(33)=14/x
d)
sin(33)=14/x
29.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
30.
Find the measure of the angle. Round to the nearest tenth.
a)
40.4
b)
43.4
c)
48.2
d)
41.3
31.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
32.
Remember order matters. Which of the following is true?
a)
∆FGH ≅ ∆VHW
b)
∆HFG ≅ ∆HWV
c)
∆HGF ≅ ∆VHW
d)
∆FGH ≅ ∆VWH
33.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
34.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
35.
Are the triangles congruent, if yes, why?
a)
SSS
b)
ASA
c)
AAA
d)
Not Congruent
36.
Translate into symbolic logic....p = I love math q = I love my teacher. I love math and don't love my teacher
a)
p^q
b)
pvq
c)
~p^~q
d)
p^~q
37.
Given, "If I have a Siberian Husky, then I have a dog." Identify the inverse.
a)
If I do not have a Siberian Husky, then I do not have a dog.
b)
If I have a dog, then I have a Siberian Husky.
c)
If I do not have a dog, then I do not have a Siberian Husky.
d)
If I do not have a Siberian Husky, then I have a dog.
38.
Given, "If I have a Siberian Husky, then I have a dog." Identify the converse.
a)
If I do not have a Siberian Husky, then I do not have a dog.
b)
If I have a dog, then I have a Siberian Husky.
c)
If I do not have a dog, then I do not have a Siberian Husky.
d)
If I do not have a Siberian Husky, then I have a dog.
39.
Given, "If I have a Siberian Husky, then I have a dog." Identify the contrapositive.
a)
If I do not have a Siberian Husky, then I do not have a dog.
b)
If I have a dog, then I have a Siberian Husky.
c)
If I do not have a dog, then I do not have a Siberian Husky.
d)
If I do not have a Siberian Husky, then I have a dog.
40.
What is the contrapositive to this?
a)
If the food is not cooked, then it is not in the oven.
b)
If the food is not in the oven, then it is not cooked.
c)
If the food is cooked, then its in the oven.
d)
If food is not in the oven, then its cooked.
41.
What is the value of x?
a)
132
b)
66
c)
114
d)
48
42.
What is the best definition of a parallelogram?
a)
quadrilateral with one pair of parallel sides
b)
quadrilateral with two pairs of parallel sides
c)
any four sided figure with opposite sides congruent
d)
a quadrilateral with two pairs of congruent sides
43.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
1
b)
11
c)
7
d)
6
44.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
7
b)
2
c)
0
d)
4
45.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
9
b)
11
c)
0
d)
4
46.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
3
b)
2
c)
1
d)
7
47.
Find the Surface Area of the cylinder.
a)
3015.93cm2
b)
1156.11cm2
c)
578.05cm2
d)
779.11cm2
48.
Find the Surface Area of the given figure.
a)
477.52m2
b)
427.26m2
c)
578.05m2
d)
628.32m2
49.
Find the Surface Area.
a)
15m2
b)
16m2
c)
18m2
d)
20m2
50.
What is this the formula for?
Volume of ____________
Volume of ____________
a)
Pyramids
b)
Spheres
c)
Prisms
d)
Cylinders
51.
Find the volume of the Triangular Pyramid. Round to the nearest whole number.
a)
317 units³
b)
635 units³
c)
1,904 units³
d)
890 units³
52.
What is the area of this circle?
a)
50.24 cm2
b)
50.265 cm2
c)
98.12 cm2
d)
200.96 cm2
53.
Find the lateral surface area of the prism.
a)
100.53 square inches
b)
351.86 square inches
c)
251.33 square inches
d)
50.27 square inches
54.
The rule for reflection over the y-axis is
(x, y) --> _
(x, y) --> _
a)
(-x, y)
b)
(x, -y)
c)
(y, x)
d)
(-y, x)
55.
Triangle XYZ has vertices x(2,3), Y(5,6), and Z(8,6). What rule can be used to find the new coordinates of point X, if the triangle is translated 6 units down and 4 units to the right?
a)
(x,y)⊣(x-4, y+6)
b)
(x,y)⊣(x-6, y+4)
c)
(x,y)⊣(x+6, y-4)
d)
(x,y)⊣(x+4, y-6)
56.
How is triangle ABC being translated to triangle A'B'C'?
a)
up 3, left 8
b)
up 9, left 4
c)
down 3, right 8
d)
down 9, right 4
57.
A type of transformation where a geometric figure slides horizontally, vertically, or both. What type of transformation is this?
a)
dilation
b)
translation
c)
rotation
d)
reflection
58.
Triangle GHI is reflected across the x-axis. What are the coordinates of I'?
a)
(-2, 6)
b)
(2, 6)
c)
(-6, -2)
d)
(6, 2)
59.
An office supply store sells index cards in two different sizes. The large size is an enlargement of the small size. Both sizes are shown. Find the scale factor of the enlargement.
a)
2
b)
3
c)
4
d)
5
60.
Describe the transformation shown in the graph.
a)
Reflect over x-axis
b)
Reflect over y-axis
c)
Rotate 270 degrees CCW
d)
Rotate 90 degress CCW
61.
Reflect ΔXYZ over the x-axis.
X(0 , -3) ; Y(-2 , 4) ; Z(1 , 3)
a)
X'(0 , 3) ; Y'(-2 , -4) ; Z'(1 , -3)
b)
X'(0 , -3) ; Y'(2 , 4) ; Z'(-1 , 3)
c)
X'(-3 , 0) ; Y'(4 , -2) ; Z'(3 , 1)
d)
X'(0 , -3) ; Y'(2 , -4) ; Z'(-1 , 3)
62.
Which of the following constructions is illustrated?
a)
An angle is congruent to a given angle
b)
The bisector of a given angle
c)
The bisector of a given segment
d)
The perpendicular bisector of a given segment.
63.
What geometric construction is shown in the diagram below?
a)
an angle bisector
b)
a line parallel to a given line
c)
an angle congruent to a given angle
d)
a perpendicular bisector of a segment
64.
The drawing shows a compass and straight edge construction of...what?
a)
the bisector of a given angle
b)
a perpendicular to a given line at a point on the line
c)
a perpendicular to a given line from a point NOT on the line
d)
an angle congruent to a given angle
65.
The given diagram is what kind of construction?
a)
Perpendicular bisector
b)
Congruent angles
c)
Angle bisector
d)
Congruent line segments
66.
Name the construction.
a)
Angle bisector
b)
Perpendicular line to a point not on a line
c)
Perpendicular line to a point on the line
d)
Perpendicular bisector of a line segment
67.
Which of the following shows a construction of a 45o angle?
a)
b)
c)
d)
e)
All of the constructions show a 45o angle
68.
Find the value of the variable and the length of each chord.
a)
z = 4.8, PQ = 14.8, RT = 14
b)
z = 5, PQ = 15, RT = 14
c)
z = 4.2, PQ = 14.2, RT = 14
d)
z = 5.4, PQ = 15.4, RT = 14
69.
Find the value of the variable and the length of each secant segment.
a)
x = 9, AC = 16.2, EC = 16.2
b)
x = 8.5, AC = 15.7, EC = 16.2
c)
x = 10, AC = 17.2, EC = 16.2
d)
x = 9.5, AC = 16.7, EC = 16.2
70.
Find z.
a)
4
b)
5
c)
3
d)
6
71.
Find the value of the variable and the length of each chord.
a)
y = 6, DE = 7, FG = 8
b)
y = 5, DE = 7, FG = 7
c)
y = 7, DE = 7, FG = 9
d)
y = 9, DE = 7, FG = 11
72.
Determine x.
a)
32
b)
16
c)
64
d)
21
73.
A tangent is a line that touches a circle at just one point and forms a right angle with the circle's radius.
a)
True
b)
False
74.
What is the name of the angle pictured?
a)
Central angle
b)
Inscribed angle
c)
Interscribed angle
d)
Circumscribed angle
75.
a)
77
b)
103
c)
154
d)
206
76.
Lines AO and BO are tangent. What is the measure of BO?
a)
20
b)
15
c)
10
d)
5
77.
Which is the correct way to solve this?
a)
70=(180+x)/2
b)
70=(180-x)/2
c)
x=(180+70)/2
d)
x=(180-70)/2
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