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WorksheetsGeometry 2nd Semester Review
Total questions: 85
Worksheet time: 5hrs 46mins
Name
Class
Date
1.
Tommy has a bag of LEGOS. There are 6 yellow, 3 red, and 8 blue LEGOS. What is the ratio in simplest form of red to yellow LEGOS?
a)
1/2
b)
6/3
c)
2/1
d)
3/6
2.
Solve the equation for x:
a)
17
b)
16
c)
15
d)
14
3.
What if the value of x?
a)
16
b)
12
c)
4
d)
64
4.
Find the value of x.
a)
15√5
b)
5√5
c)
5√3
d)
3√5
5.
Find the geometric mean between 4 and 9.
a)
6
b)
2√3
c)
3√2
d)
8
6.
Find the value of y.
a)
4
b)
2√6
c)
6√2
d)
12
7.
The figure is an example of a(n) ...
a)
median
b)
altitude
c)
midsegment
d)
angle bisector
8.
To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. What is AB to the nearest meter?
a)
10
b)
12
c)
15
d)
18
9.
Solve for x
a)
7
b)
10.9
c)
3.1
d)
15
10.
Find the value of x.
a)
4.5
b)
9
c)
30
d)
3
11.
What is the value of the missing segment?
a)
15
b)
20
c)
6
d)
16
12.
If the ratio of 2 round dinner plates is 2:5, what is the ratio of their areas?
a)
2:5
b)
1:5
c)
4:10
d)
4:25
13.
What is the perimeter ratio of the following rectangles?
a)
6/7
b)
6/10
c)
3/5
d)
7/10
14.
What is the area ratio of the following rectangles?
a)
7/10
b)
49/100
c)
36/100
d)
36/4
15.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
16.
Find missing side
a)
5
b)
7
c)
9
d)
11
17.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
18.
Use the information in the diagram to determine the height of the tree.
a)
80 feet
b)
320 feet
c)
40 feet
d)
160 feet
19.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
20.
Find the missing side
a)
36
b)
76.8
c)
12
d)
40
21.
What is the side of a right triangle across from the right angle called?
a)
square
b)
arm
c)
leg
d)
hypotenuse
22.
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
23.
Find x - the length of the hypotenuse of the triangle.
a)
5
b)
5√2
c)
10
d)
5√3
24.
What is the value of x?
a)
2
b)
18
c)
2√9
d)
9√2
25.
a)
A
b)
B
c)
C
d)
D
26.
a)
14/48
b)
48/50
c)
14/50
d)
48/14
27.
Which one is the easy way to learn trigonometric ratios?
a)
Sah Coh Toa
b)
Soh Cah Toa
c)
Soh Cah Tao
d)
Soh Ceh Toa
28.
What equation can be used to solve for x?
a)
Sin(40°)= x/40
b)
Sin(40º)=x/19
c)
Cos(40º)=x/19
d)
Tan(40°)=19/x
29.
Find x round to the nearest tenth.
a)
46.1
b)
4.9
c)
16.4
d)
26.9
30.
Solve for the misssing distance
a)
18.9
b)
19.5
c)
47
d)
27.5
31.
Which Law would you use?
a)
Law of Sines
b)
Law of Cosines
c)
Law of the Jungle
d)
Law of Gravity
32.
Which Law would you use?
a)
Law of Sines
b)
Law of Cosines
c)
Law of the Jungle
d)
Law of Gravity
33.
Which Law would you use?
a)
Law of Sines
b)
Law of Cosines
c)
Law of the Jungle
d)
Law of Gravity
34.
What is the measure of angle A?
a)
50 degrees
b)
60 degrees
c)
78 degrees
d)
74 degrees
35.
What is the length of side x?
a)
130 cm
b)
112 cm
c)
150 cm
d)
105 cm
36.
A slide is also called a _________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
37.
A turn is also called a ___________.
a)
Translation
b)
Reflection
c)
Rotation
d)
Transformation
38.
Translations, reflections and rotations are all known as ________________________.
a)
Geometry
b)
Transformations
c)
Congruent
39.
Name the transformation.
a)
Translation
b)
Reflection
c)
Rotation
40.
When you translate, you ______ a number to x and y.
a)
Add or subtract
b)
Multiply or divide
c)
Add or multiply
d)
Subtract or divide
41.
Write a rule for the translation.
a)
(x -1, y + 2)
b)
(x -2, y + 1)
c)
(x +2, y - 1)
d)
(x +1, y - 2)
42.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
43.
Identify the transformation from ABCD to A'B'C'D'.
a)
Translation
b)
Reflection across the y-axis
c)
Reflection across the x-axis
d)
90o counter clockwise Rotation
44.
Point (-5,2) is reflected over the y axis. Where is the new point located?
a)
(5,2)
b)
(-5,-2)
c)
(-5,2)
d)
(5,-2)
45.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
46.
What is Dilation?
a)
Dilation means to enlarge or reduce
b)
Dilation means to reflect on something
c)
Dilation means to like something
d)
Dilation means to make something different by making it smaller
47.
Does the image show a Dilation?
a)
Yes
b)
No
48.
Does the image show a dilation?
a)
Yes
b)
No
49.
A triangle has vertices with coordinates (2,0), (3, -1) and (-2,-5). If the triangle is dilated by a scale factor of 3 with the origin as the center of dilation, what are the coordinates of the vertices of the image?
a)
(5,3), (6,2), (1,-2)
b)
(6,0), (9,-3), (-6,-15)
c)
(2/3,0), (1,-1/3), (-2/3,-5/3)
d)
(-1,-3), (0,-4), (-5,-8)
50.
A dilation can produce a larger figure or a(n)______
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
51.
A dilation can produce a smaller figure or a(n)______
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
52.
The __________ is the ratio of a length of the image to the corresponding length on the original figure.
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
53.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
54.
Find the AREA of this figure.
a)
160 square feet
b)
161 feet
c)
106
d)
1600 feet
55.
Find the area.
a)
27.3 mi2
b)
54 mi2
c)
27 mi2
d)
54.6 mi2
56.
Find the area.
a)
60 in
b)
60 in2
c)
50 in
d)
50 in2
57.
What is the area of this figure?
a)
52 square centimeters
b)
36 centimeters
c)
57 square centimeters
d)
40 square centimeters
58.
Find the area of the trapezoid.
a)
18 m2
b)
165 m2
c)
84 m2
d)
22.5 m2
59.
Find the area of the circle
a)
43.96
b)
153.86
c)
87.82
d)
307.72
60.
Find the area of the circle
a)
56.52
b)
254.34
c)
1017.36
d)
113.04
61.
What is the area of this kite?
a)
336 in 2
b)
26 in 2
c)
108 in2
d)
672 in 2
62.
find the area
a)
43.86
b)
43.87
c)
43.88
d)
43.89
63.
What is the surface area of this figure?
a)
200 cm 2
b)
800 cm 2
c)
400 cm 2
d)
100 cm 2
64.
Find the surface area of the triangular prism.
a)
196 ft2
b)
96 ft2
c)
98 ft2
d)
108 ft2
65.
Find the surface area of the square pyramid.
a)
645 square centimeters
b)
435 square centimeters
c)
210 square centimeters
d)
330 square centimeters
66.
Find the surface area.
a)
3830.23 cm2
b)
1321.6 cm2
c)
3482.4 cm2
d)
1462.73 cm2
67.
What is the volume of the rectangular pyramid?
a)
5,580 ft³
b)
4,480 ft³
c)
4,370 ft³
d)
6,780 ft³
68.
Determine the volume of the triangular prism.
a)
340 cm³
b)
240 cm³
c)
480 cm³
d)
160 cm³
69.
a)
80 in3
b)
24 in3
c)
21 in3
d)
13 in3
70.
Find the volume of the Sphere
a)
78.5 m3
b)
392.5 m3
c)
523.6 m3
d)
62.8 cm3
71.
Calculate the amount of ice cream this cone can hold (just to the top of the cone) . Round to the nearesthundredth.
a)
58.29 cm2
b)
58.29 cm3
c)
233.15 cm2
d)
233.15 cm³
72.
Find the volume of the cylinder. Round your answers to the nearest tenth if necessary. Use 3.14 for π.
a)
124.6 in3
b)
87.9 in3
c)
97.5 in3
d)
78.9 in3
73.
Find the measure of minor arc KM.
a)
255°
b)
105°
c)
210°
d)
Cannot be determined.
74.
Find the measure of minor arc AV.
a)
55°
b)
115°
c)
85°
d)
95°
75.
Find the measure of major arc PQ (the question mark).
a)
260°
b)
100°
c)
25°
d)
130°
76.
a)
4
b)
5
c)
6
d)
8
77.
a)
9
b)
10
c)
15
d)
14
78.
Solve for x.
a)
7.94
b)
8
c)
10.58
d)
112
79.
a)
16
b)
19
c)
21
d)
25
80.
Solve for a.
a)
4
b)
6.93
c)
8
d)
16
81.
In the equation (x+2)2+(y+3)2=49, the radius of the circle is...
a)
24.5
b)
98
c)
7
d)
49
82.
In the equation (x-3)2+(y+4)2=121, the center of the circle is at...
a)
(3, -4)
b)
(-3, 4)
c)
(4, 3)
d)
(-4, -3)
83.
In the equation (x-3)2+(y+4)2=121, the radius of the circle is
a)
242
b)
11
c)
121
d)
22
84.
What is the equation of a circle with radius 2 and center (3, 4)?
a)
(x+3)2 + (y+4)2 = 2
b)
(x-3)2 + (y-4)2 = 2
c)
(x+3)2 + (y+4)2 = 4
d)
(x-3)2 + (y-4)2 = 4
85.
What is the equation of a circle with radius 4 and center (0, 8)?
a)
x2 + (y-8)2 = 16
b)
(x-8)2 + y2 = 4
c)
x2 + (y-8)2 = 4
d)
x2 + (y+8)2 = 16
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