WorksheetsChapter8-11 geometry
Total questions: 68
Worksheet time: 4hrs 23mins
Name
Class
Date
1.
What is the value of the missing segment?
a)
13
b)
12.5
c)
6
d)
8
2.
What is the value of the missing segment?
a)
15
b)
4
c)
6
d)
14
3.
Solve for x.
a)
8
b)
6
c)
5
d)
-8
4.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
5.
Complete each proportion.
AB / BM = ? / CD
AB / BM = ? / CD
a)
BC
b)
AC
c)
MD
d)
MC
6.
What is the value of X?
a)
X=4
b)
X=6
c)
X=3
d)
X=2
7.
The pair of figures is similar. Find the missing side.
a)
x = 9
b)
x = 28
c)
x = 7
d)
x = 63
8.
Does a triangle with these side lengths exist?
15, 12, 9
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
9.
Which of the following would NOT work to make a triangle with the two side lengths of 2 and 6?
a)
6
b)
7
c)
5
d)
4
10.
What kind of triangle is this?
a)
equilateral
b)
isosceles
c)
scalene
11.
Which would be the best classification for the triangle shown?
a)
acute isosceles
b)
right scalene
c)
acute scalene
d)
obtuse scalene
12.
Find the arc length. Leave your answer in terms of π.
a)
7/4π
b)
7/2π
c)
1/8π
d)
45π
13.
Find the length of the bold arc.Leave pi in your answer.
a)
5688π ft
b)
15.8π ft
c)
150.4π ft
d)
54,150 ft
14.
What is m∠LMO?
(Segment LO is a diameter of Circle P)
(Segment LO is a diameter of Circle P)
a)
30°
b)
45°
c)
80°
d)
90°
15.
If the length of arc YZ is 4π in. , what is the radius of the circle?
a)
16in
b)
8in
c)
4in
d)
2.5in
16.
Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.
a)
65°
b)
70°
c)
78°
d)
45°
17.
Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.
a)
68°
b)
49°
c)
47°
d)
72°
18.
Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.
a)
93°
b)
137°
c)
120°
d)
102°
19.
Solve for x. Assume that lines which appear tangent are tangent.
a)
8
b)
11
c)
7
d)
2
20.
Solve for x. Assume that lines which appear tangent are tangent.
a)
8
b)
4
c)
12
d)
6
21.
Solve for x. Assume that lines which appear tangent are tangent.
a)
9
b)
2
c)
5
d)
4
22.
Solve for x. Assume that lines which appear to be diameters are diameters.
a)
6
b)
5
c)
7
d)
-8
23.
This is a picture of ___________.
a)
Major Arc
b)
Minor Arc
c)
Central Angle
d)
Inscribed Angle
24.
If the measure of arc ABC = 210°, what is the measure of ∠AOC?
a)
150°
b)
100°
c)
210°
d)
105°
25.
In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...
a)
Multiply that leg by 2
b)
Use the same length for the second leg
c)
Multiply that leg by √2
d)
Divide that leg by √2
26.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
27.
In this 45-45-90 triangle, I have been given the length of a leg. How do I find the length of the hypotenuse?
a)
It is the same length as the given leg.
b)
Multiply that leg's length by √2.
c)
Multiply that leg's length by 2.
d)
Divide that leg's length by √2.
28.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
29.
I have been given a hypotenuse in this 45-45-90 triangle. How do I find the length of a leg of the triangle?
a)
Multiply by √2
b)
Divide by √2
c)
It's the same length as the hypotenuse.
d)
Divide by 2
30.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
31.
Which side is the long leg in this 30-60-90 triangle?
a)
4
b)
u
c)
v
32.
I have been given the short leg in this 30-60-90 triangle. How do I find the long leg?
a)
Multiply 4 by 2
b)
Multiply 4 by √3
c)
Multiply 4 by √2
d)
Divide 4 by 2
33.
I have been given the short leg in this 30-60-90 triangle. How do I find the length of the hypotenuse?
a)
Multiply 4 by 2
b)
Multiply 4 by √3
c)
Multiply 4 by √2
d)
Divide 4 by √3
34.
I have been given the hypotenuse in this 30-60-90 triangle. How do I find the short leg?
a)
Multiply 6 by 2
b)
Multiply 6 by √3
c)
Divide 6 by 2
d)
Divide 6 by √3
35.
What is the length of u and v in this 30-60-90 triangle?
a)
u = 8 v = 4√3
b)
u = 4√2 v = 8
c)
u = 16 v = 8
d)
u = 4√3 v = 8
36.
I have been given the long leg in this 30-60-90 triangle. How do I find the short leg?
a)
Multiply 7 by 2
b)
Multiply 7 by √3
c)
Divide 7 by 2
d)
Divide 7 by √3
37.
I have been given the long leg in this 30-60-90 triangle. How do I find the hypotenuse?
a)
Divide 8 by √3
b)
Divide 8 by 2
c)
Divide 8 by 2, then multiply that answer by √2
d)
Divide 8 by √3, then multiply that answer by 2
38.
What are x and y in this 30-60-90 triangle?
a)
x = 6 y = 3√3
b)
x = 1.5√3 y =1.5
c)
x = 3√3 y = 6
d)
x = √3 y = 2√3
39.
What are x and y in this 30-60-90 triangle?
a)
x = 6 y = 3√3
b)
x = 3√2 y = 3
c)
x = 3√3 y = 6
d)
x = 3√3 y = 3√2
40.
What are u and v in this 30-60-90 triangle?
a)
v = 2√3 u = 6
b)
v = 4 u = 4√3
c)
v = 4 u = 4√2
d)
v = 4√3 u = 8√3
41.
What are a and b in this 30-60-90 triangle?
a)
b=3.5√3 a = 7√3
b)
b = 7 a = 7√2
c)
b = 7 a = 14
d)
b = 7√3 a = 14√3
42.
Find the cos B
a)
3/5
b)
3/4
c)
4/5
d)
5/4
43.
What is the correct equation?
a)
sin 40 = w/28
b)
cos 40 = w/28
c)
tan 40 = w/28
d)
sin 40 = 28/w
44.
Solve for x. Round to the nearest tenth.
a)
9.8
b)
0.1
c)
0.038
d)
9.9
45.
Solve for the missing distance.
a)
18.9
b)
19.5
c)
47.3
d)
27.5
46.
Find x.
a)
46.1
b)
4.90
c)
16.4
d)
26.9
47.
a)
Cos A = 15/17
b)
Cos A = 8/17
c)
Sin A = 4/15
d)
Sin A = 15/17
48.
State the postulate that proves these triangles are similar.
a)
SSS
b)
SAS
c)
AA
d)
Not similar
49.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
50.
cos (900 - A ) = sec A
a)
TRUE
b)
FALSE
51.
tan 700 tan 200 =1
a)
TRUE
b)
FALSE
52.
Describe the cross section.
a)
Rectangle
b)
Triangle
c)
Square
d)
Cirlce
53.
If my diameter is 19 inches, what is my radius?
a)
38 inches
b)
9.5 inches
c)
59.66 inches
d)
119.32 inches
54.
If my radius is 10ft, what is my diameter?
a)
20ft
b)
5ft
c)
31.4ft
d)
62.8ft
55.
What is the distance around a circle?
a)
Circumference
b)
Area
c)
Diameter
d)
Radius
56.
Find the area of the circle
a)
56.52
b)
254.34
c)
1017.36
d)
113.04
57.
Determine the volume.
a)
4 m3
b)
8 m3
c)
12 m3
d)
5.3 m3
58.
Identify and describe the solid produced by rotating the figure around the given axis.
a)
cone with radius 5
b)
cone with radius 9
c)
cylinder with radius 5
d)
cylinder with radius 9
59.
Find the volume of the sphere.
a)
150.72 mm3
b)
904.32 mm3
c)
2,712.96 mm3
d)
904.32 mm2
60.
what is the circumference of this circle ?
a)
3.14 cm
b)
37.68 cm
c)
24 cm
d)
68.4 cm
61.
What is the area of the rectangle?
a)
15 sq cm
b)
15 cm
c)
2
d)
16 cm
62.
Find the area:
a)
13 in2
b)
20 in2
c)
26 in2
d)
40 in2
63.
find the area of the circle below.
a)
100 cm
b)
225 cm
c)
9 cm
d)
28.26 cm
64.
Find the total surface area of the prism.
a)
48 square inches
b)
64 square inches
c)
88 square inches
d)
76 square inches
65.
Find the surface area.
a)
12 m2
b)
16 m2
c)
24 m2
d)
20 m2
66.
A triangular prism is shown below.What is the surface area of the triangular prism?
a)
580 ft2
b)
640 ft2
c)
840 ft2
d)
960 ft2
67.
Find the volume of the cylinder. Round to the nearest whole number.
a)
4239 m3
b)
1696 m3
c)
1130 m3
d)
565 m3
68.
Find the volume.
a)
147 m3
b)
588 m3
c)
84 m3
d)
294 m3
100 %
