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WorksheetsGeometry Sem 2 Review
Total questions: 95
Worksheet time: 4hrs 16mins
Name
Class
Date
1.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
1
b)
11
c)
7
d)
6
2.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
7
b)
2
c)
0
d)
4
3.
The figure is a parallelogram.
Solve for x.
Solve for x.
a)
7
b)
1
c)
5
d)
2
4.
The opposite sides of a parallelogram are...
a)
congruent
b)
perpendicular
c)
skew
d)
supplementary
5.
3 angles of a quadrilateral are 110, 120 and 50. What is the measure of the 4th angle?
a)
60
b)
70
c)
80
d)
130
6.
Find the sum of the interior angles of a nonagon.
a)
1260
b)
900
c)
1620
d)
180
7.
Find the measure of ONE exterior angle of a regular decagon.
a)
36
b)
10
c)
18
d)
40
8.
Find the value of x
a)
87°
b)
54°
c)
101°
d)
92°
9.
What is the measure of each exterior angle of a regular octagon?
a)
45 degrees
b)
360 degrees
c)
1080 degrees
d)
135 degrees
10.
If ABCD is a parallelogram, what is the length of BD?
a)
10
b)
11
c)
7
d)
5
11.
Find the midsegment.
a)
11
b)
22
c)
None of these
d)
10.5
12.
Base angles of an isosceles trapezoid are _____.
a)
neither
b)
supplementary
c)
congruent
13.
Find the value of x.
a)
4
b)
6
c)
5
d)
129
14.
Find the measure of DG.
a)
14
b)
28
c)
12
d)
16
15.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
16.
Solve for x
a)
x = 1/10
b)
x = 10
c)
x = 4
d)
x = 5
17.
A painting is 2 in tall and 3 in wide. If it is enlarged to a width of 15 in then how tall will it be?
a)
8 in
b)
30 in
c)
20 in
d)
10 in
18.
What similarity theorem would prove that these triangles are similar?
a)
SAS∼
b)
SSS∼
c)
AA∼
d)
Side Splitter
19.
Are the triangles similar?
a)
Yes
b)
No
20.
Find missing side
a)
5
b)
7
c)
9
d)
11
21.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
22.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
23.
Find x.
a)
10
b)
5
c)
20
d)
3
24.
a)
A
b)
B
c)
C
d)
D
25.
What is the value of y?
a)
2
b)
√3
c)
4
d)
√5
26.
Set up the problem so that you can solve for X.
a)
sin X = 41/28
b)
tan X = 41/28
c)
cos X = 28/41
d)
sin X = 28/41
27.
What is the correct ratio?
a)
sin 40 = w/28
b)
cos 40 = w/28
c)
tan 40 = w/28
d)
sin 40 = 28/w
28.
A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?
a)
7.5 ft
b)
15 ft
c)
26 ft
d)
30 ft
29.
Find r and s.
a)
r = 9, s = 9√3
b)
r = 18, s = 9
c)
r = 9√3, s = 9
d)
r = 18, s = 9√3
30.
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
31.
Find the area of this triangle. Round your answer to the nearest tenth.
a)
89.0 units squared
b)
89.6 units squared
c)
9.2 units squared
d)
13.1 units squared
32.
Solve for the missing angle
a)
50
b)
0.053
c)
36.9
d)
95
33.
a)
x=24√3, y=24√2
b)
x=12√2, y=12√2
c)
x=24, y=24
d)
x=12, y=12
34.
a)
x=20, y=20√2
b)
x=20√2, y=20
c)
x=10, y=10
d)
x=20, y=10√2
35.
Determine whether the triangle is acute, obtuse, right, or neither.
3,6,7
3,6,7
a)
acute
b)
obtuse
c)
right
d)
neither
36.
Determine whether the triangle is acute, obtuse, right, or neither.
3,4,5
3,4,5
a)
acute
b)
obtuse
c)
right
d)
neither
37.
Determine whether the triangle is acute, obtuse, or right. 8,9,10
a)
acute
b)
obtuse
c)
right
d)
neither
38.
What is the length of side x?
a)
6.57 cm
b)
7 cm
c)
7.44 cm
d)
26.33 cm
39.
Find the length of side w.
a)
21.4 cm
b)
18.0 cm
c)
36.5 cm
d)
43.6 cm
40.
6) Given that AD = 61, CD = 61, and m∡ABC = 48o, find m∡CBD.
a)
24o
b)
48o
c)
52o
d)
61o
41.
7) Given that DA = DC, m∡DBC = (10y+3)o, and m∡DBA = (8y + 10)o, find m<DBC.
a)
27o
b)
36o
c)
53o
d)
38o
42.
What is the value of the missing segment?
a)
15
b)
20
c)
6
d)
16
43.
What is the value of the missing segment?
a)
15
b)
4
c)
6
d)
14
44.
Find the value of x.
a)
15
b)
14
c)
3
d)
0
45.
Given that the red segments are parallel, calculate x
a)
4.5
b)
6
c)
2
d)
7
46.
Given that the red segments are parallel, calculate x
a)
4
b)
16
c)
12
d)
7
47.
find X
a)
52
b)
33
c)
41
d)
29
48.
Find AC
a)
12
b)
10
c)
23
d)
14
49.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
50.
Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?
a)
17 miles
b)
32 miles
c)
37 miles
d)
40 miles
51.
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
52.
Find the volume of the figure?
a)
4003 cm3
b)
336 cm3
c)
36 cm3
d)
412 cm3
53.
Find the Surface Area.
a)
15.6m2
b)
96m2
c)
52.3m2
d)
890m2
54.
Find the Surface Area.
a)
15m2
b)
16m2
c)
18m2
d)
20m2
55.
Find the volume of the cylinder.
a)
4096π
b)
2048π
c)
1024π
d)
256π
56.
Find the volume of the following cone.
a)
6,612.8 m3
b)
2,204.3 m3
c)
2,106 m3
d)
3,306.4 m3
57.
Find the volume of the figure.
a)
1,800 cm³
b)
900 cm³
c)
600 cm³
d)
750 cm³
58.
V = ?
a)
150.72 mm3
b)
904.32 mm3
c)
2,712.96 mm3
59.
Find the surface area.
a)
314.16 in2
b)
314 in2
c)
166.67 in2
d)
521.24 in2
60.
Find the surface area
a)
40. 8 pi yd sq
b)
163.2 pi yd sq
c)
116.4 pi yd sq
d)
157.2 pi yd sq
61.
FIND THE ARC LENGTH OF THE BOLDED ARC
a)
A
b)
B
c)
C
d)
D
62.
In circle O, the radius is 4, and the measure of minor arc AB is 120 degrees. Find the length of minor arc AB to the nearest integer.
a)
5
b)
9
c)
8
d)
6
63.
Convert 100⁰ to radians
a)
5π/9
b)
π/2
c)
5π/8
d)
5π/6
64.
Convert π/4 radians to degrees
a)
90⁰
b)
45⁰
c)
60⁰
d)
30⁰
65.
Find the area of the dark blue sector shown at the left. The radius of the circle is 4 units and the length of the arc (the curved edge of the sector) measures 7.85 units. Express answer to the nearest tenth of a square unit.
a)
0.3 square units
b)
15.7 square units
c)
19.7 square units
d)
50.3 square units
66.
Find the value of x.
a)
31,3
b)
8
c)
16.3
d)
-8
67.
Find the value of x.
a)
10
b)
181
c)
34
d)
40
68.
Problem #7: Write an algebraic equation and solve for x.
a)
15
b)
21
c)
35
d)
49
69.
Find the value of x.
a)
12.5
b)
8
c)
35
d)
16
70.
Solve for x.
a)
3.6
b)
9.2
c)
11.5
d)
14.3
71.
Chords AB and AD are congruent. Arc AB is 96°. What is the measure of arc BAD?
a)
96°
b)
48°
c)
192°
d)
168°
72.
What is Arc ABC?
a)
Minor Arc
b)
Major Arc
c)
Semi Circle
73.
What is Arc ACB?
a)
Minor Arc
b)
Major Arc
c)
Semi Circle
74.
What is Arc AB?
a)
Minor Arc
b)
Major Arc
c)
Semi Circle
75.
What is Arc AB?
a)
Minor Arc
b)
Major Arc
c)
Semi Circle
76.
a)
206
b)
164
c)
180
d)
124
77.
What is the m∠A?
a)
20
b)
40
c)
60
d)
30
78.
What is the m∠U?
a)
38
b)
19
c)
76
d)
90
79.
Find the measure of angle ABD.
a)
14
b)
51
c)
37
d)
65
80.
Find the measure of angle EFH.
a)
61
b)
65
c)
114
d)
130
81.
Find a and b.
a)
a=74 degrees
b=93 degrees
b=93 degrees
b)
a=93 degrees
b=74 degrees
b=74 degrees
c)
a=87 degrees
b=106 degrees
b=106 degrees
d)
a=106 degrees
b=87 degrees
b=87 degrees
82.
Find m∠VCD, in degrees
a)
53
b)
99
c)
135
d)
138
83.
Given JK = 9mm and TO = 8 mm, find the value of JT that ensures that it is tangent to circle O.
a)
4.1 mm
b)
17 mm
c)
15 mm
d)
18.8 mm
84.
In the diagram, two tangents to the circle share a common external point. Solve for the value of "x"
a)
8
b)
9
c)
6
d)
5
85.
In the equation (x-3)2+(y-2)2=16, the center of the circle is...
a)
(3,2)
b)
(-3, -2)
c)
(-2, -3)
d)
(2, 3)
86.
In the equation (x-4)2+(x-3)2=25, the center of the circle is at...
a)
(-3, -4)
b)
(4, 3)
c)
(-4, -3)
d)
(3, 4)
87.
Write the standard equation of the circle with the given center and radius; center (0,0) and radius: 3
a)
x2+y2=3
b)
x2+y2=6
c)
x2+y2=9
88.
Which graph corresponds to
(x)2+ (y-6)2=9
(x)2+ (y-6)2=9
a)
A
b)
B
c)
C
d)
D
89.
sin π/4
a)
√2∕2
b)
1/2
c)
√3/2
d)
0
90.
tan 7π/4
a)
-1
b)
1
c)
√2/2
d)
undefined
91.
cot π/2
a)
undefined
b)
0
c)
1
d)
1/2
92.
Based on your unit circle cos(30o)=
a)
1
b)
1/2
c)
sqt3/2
d)
sqt2/2
93.
4π/3 is equal to how many degrees?
a)
60°
b)
240°
c)
300°
d)
120°
94.
π/2 is equal to how many degrees?
a)
180°
b)
90°
c)
135°
d)
240°
95.
Find the distance from the two common tangents. Round to the nearest hundreths place.
a)
8
b)
13.85
c)
13.86
d)
14
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