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WorksheetsSechrist Geometry SOL Review 2018
Total questions: 53
Worksheet time: 4hrs 8mins
Name
Class
Date
1.
Mary is moving from her home to an apartment of her own. Her parents will pay her rent for the first year if she lives midway between her home and her school. If her home is at (-12, -7) and her school is at (4, 3), what should be the coordinates of the apartment?
a)
(-8, -4)
b)
(-8, -2)
c)
(-4, -2)
d)
(-4, -4)
2.
A machine for baling hay produces cylindrical bales that are 6 feet in diameter and 5⅓ feet in height. Which is closest to the number of cubic feet in each bale of hay the machine produces?
a)
100
b)
151
c)
301
d)
603
3.
Find the value of X.
a)
100
b)
120
c)
125
d)
130
4.
a)
b)
c)
d)
5.
Given parallel lines, find the value of x.
a)
A
b)
B
c)
C
d)
D
6.
Find the arc length.
a)
A
b)
B
c)
C
d)
D
7.
Find the sector area.
a)
A
b)
B
c)
C
d)
D
8.
Find the measure of the inscribed angle.
a)
A
b)
B
c)
C
d)
D
9.
a)
ASA
b)
AA
c)
SAS
d)
SSS
10.
A circle has center
(-2, 3) and radius 4 units. Which of the following is a point on the circle?
(-2, 3) and radius 4 units. Which of the following is a point on the circle?
a)
(-2, 5)
b)
(2, 7)
c)
(-2, -1)
d)
(-6, 7)
11.
Which is an equation of a circle with diameter 8 and center at (3, -2)?
a)
(x + 3)2 + (y – 2)2 = 64
b)
(x + 3)2 + (y – 2)2 = 16
c)
(x - 3)2 + (y + 2)2 = 64
d)
(x - 3)2 + (y + 2)2 = 16
12.
a)
12
b)
18
c)
25
d)
30
13.
a)
∠8 = 100
b)
∠5 = 110
c)
∠6 = 80
d)
∠7 = 110
14.
Given “If Jason plays basketball, then Steve sits on the bench. If Steve sits on the bench, then Ronald starts at center.”
Which of the following is a valid argument?
Which of the following is a valid argument?
a)
If Steve sits on the bench then Jason plays basketball.
b)
If Ronald starts at center then Jason plays basketball.
c)
If Steve sits the bench then Ronald does not start at center.
d)
If Jason plays basketball then Ronald starts at center.
15.
The Venn diagram shows exercise preferences for members of a local health club. Identify each region(s) that represent students that enjoy swimming and tennis.
a)
5
b)
1,2,4,5,6,7
c)
5 and 7
d)
1 and 2
16.
The equation of line k is y=⅓x-2. The equation of line m is -2x+6y=18. Lines k and m are
a)
Parallel
b)
Perpendicular
c)
The same line
d)
Neither parallel nor perpendicular
17.
In ∆GHI where the m∠G=75° and the m∠H=50°, which lists the sides in order from shortest to longest?
a)
GH, IG, HI
b)
IG, GH, HI
c)
IG, HI, GH
d)
GH, IG, HI
18.
What is the number of degrees in the angle labeled x?
a)
40°
b)
60°
c)
80°
d)
100°
19.
Rectangle JKLM is shown. What is the value of x?
a)
12
b)
28
c)
29
d)
43
20.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
21.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
22.
Find side length X.
a)
22.5
b)
10
c)
9
d)
7.5
23.
Two spheres have a scale factor ratio of 1:3. The smaller sphere has a surface area of 16 ft2. Find the surface area of the larger sphere.
a)
48 ft2
b)
144 ft2
c)
432 ft2
d)
32 ft2
24.
Two similar pyramids have heights of 4 inches and 7 inches. What is the ratio of the volume of the small pyramid to the volume of the large pyramid?
a)
4:7
b)
16:49
c)
64:343
d)
12:21
25.
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
26.
For what value of x is ΔABC ~ ΔDEF?
a)
18
b)
21
c)
25
d)
72
27.
Find the value of x.
a)
A
b)
B
c)
C
d)
D
28.
Find the sum of the interior angles.
a)
A
b)
B
c)
C
d)
D
29.
Find the measure of one exterior angle.
a)
A
b)
B
c)
C
d)
D
30.
Can these be the three side lengths of a right triangle?
a)
A
b)
B
31.
Given two side lengths of a triangle, find the range of the third side?
a)
A
b)
B
c)
C
d)
D
32.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
33.
Find the midpoint of the segment with endpoints (-4,4) and (5,-1).
a)
(4,5)
b)
(3,4)
c)
(1/2, 1 1/2)
d)
(7,2)
34.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
35.
If you are given the opposite side and the adjacent side and you need to find the angle you would pug the following into your calculator:
2nd tan(24/18)
2nd tan(24/18)
a)
True
b)
False
36.
If you are given the hypotenuse and need the opposite side you would use the following ratio:
Sin 53 = x/15
Sin 53 = x/15
a)
True
b)
False
37.
A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.
a)
19 degrees
b)
45 degrees
c)
71 degrees
d)
138 degrees
38.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
39.
Find L
a)
∠L=51°
b)
∠L=129°
c)
∠L=180°
d)
∠L=39°
40.
What angle pair is pictured?
a)
Alternate Interior Angles
b)
Supplementary Angles
c)
Vertical Angles
d)
Corresponding Angles
41.
Solve for y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
42.
Solve for the missing angle.
a)
45o
b)
90o
c)
22.5o
d)
128o
43.
a)
10
b)
15
c)
12
d)
19
44.
Parallelogram ABCD is a rhombus with m∠EBC = 36°. What is m∠DAE?
a)
36°
b)
54°
c)
108°
d)
144°
45.
The figure shown segments JN and KM intersecting at point L.
What value of x proves segments JK || MN?
What value of x proves segments JK || MN?
a)
61
b)
18.6
c)
80
d)
25
46.
The diagram shows the locations of Noah and Ben after swimming in different directions from a dock. Let d be the distance from Noah to Ben in yards.
Which represents all the possible values, in yards, of d?
Which represents all the possible values, in yards, of d?
a)
0 < d < 105
b)
0 < d < 147
c)
21 < d < 147
d)
63 < d < 84
47.
Which of the following sets of lengths can represent the measures of the sides of a right triangle?
a)
4, 5, 6
b)
5, 12, 15
c)
8, 10, 17
d)
20, 21, 29
48.
Given circle J, what is the value of y?
a)
38
b)
50
c)
88
d)
92
49.
A rectangular prism is shown. What is the volume of the pyramid?
a)
864 cm3
b)
432 cm3
c)
288 cm3
d)
108 cm3
50.
A man who is 6 feet tall casts a shadow that is 4 feet long. At the same time, a nearby flagpole casts a shadow that is 18 feet long.
How tall is the flagpole?
How tall is the flagpole?
a)
10 ft
b)
12 ft
c)
22 ft
d)
27 ft
51.
What is the hypothesis of the given Conditional Statement?
a)
Jimmy will go to Orlando
b)
Jimmy goes on vacation
c)
Jimmy will go to Orlando
d)
Who is Jimmy?
52.
a)
b and c
b)
a and c
c)
b and d
d)
a and d
53.
Find the Surface Area
a)
15m2
b)
16m2
c)
18m2
d)
20m2
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