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Worksheets

EOC Review

Total questions: 94

Worksheet time: 3hrs 20mins

Name
Class
Date
1.
Which is NOT a possible measure for ∠DCB?
a)
27º
b)
30º
c)
34º
d)
35º
2.
Select the correct answer
a)
A
b)
B
c)
C
d)
D
3.
Does a triangle with these side lengths exist?
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
4.
Does a triangle with these side lengths exist?
20, 10, 9
a)
Yes
b)
No
c)
I don't know.
5.
Does a triangle with these side lengths exist?
18, 22, 5
a)
Yes
b)
No
c)
I don't know.
6.
9. Which of these lengths CANNOT represent the sides of a triangle?
a)
32, 34, 60
b)
28, 30, 58
c)
13, 20, 27
d)
2, 4, 5
7.
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
8.
When you translate, (x-4,y) will move _____.
a)
4 units right
b)
4 units left
c)
4 units up
d)
4 units down
9.
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)
10.
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
11.
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)
12.
The result of a transformation.
a)
Pre-image
b)
Image
13.
Reflect Point C over the y-axis:
a)
(-3, 2)
b)
(3,2)
c)
(-2,3)
d)
(3,0)
14.
Reflections over the x-axis change the ____-__________. 
a)
y-coordinate
b)
x-coordinate
15.
The original figure prior to a transformation.
a)
Pre-image
b)
Image
16.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
17.
Translate the point A (-3, 4) right 5 and up 1
a)
(-2, 9)
b)
(-8, 5)
c)
(8, 3)
d)
(2, 5)
18.
How many degrees was the figure rotated?
a)
90 degrees counterclockwise 
b)
180 degrees
c)
90 degrees clockwise
19.
If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, -5)
c)
(-5, 3)
d)
(-3, 3)
20.
If you were to rotate ABCD 180° about the origin, what would the coordinates of B' be?
a)
(0, 0)
b)
(-6, -5)
c)
(-1, 3)
d)
(-6, 2)
21.
Identify the transformation from C to D.
a)
90o Counter Clockwise Rotation
b)
180o Rotation
c)
270o Counter clockwise Rotation
d)
360o Rotation
22.
Chose the correct transformation:
(x, y) ----- (x, -y)
a)
Reflection across x-axis
b)
Reflection across y-axis
c)
90 degree clockwise rotation
d)
90 degree counter clockwise rotation
23.
What is the rule for the following reflection? 
a)
Reflection across       y-axis
b)
Reflection across        x-axis
c)
Reflection across            y = x
d)
Reflection across          y = −x
24.
What is the rule for the following reflection? 
a)
Reflection across      x-axis
b)
Reflection across        y-axis
c)
Reflection across            y = x
d)
Reflection across          y = −x
25.
Fill in the blank...
SOH ___ TOA
a)
COH
b)
CAH
c)
COA
d)
CHA
26.
How do you know which side is the OPPOSITE?
a)
It is next to the right angle
b)
It is opposite the right angle
c)
It is opposite the theta
d)
It is the bottom leg of the triangle
27.
What is the ratio for cosine?
a)
H/A
b)
O/A
c)
A/H
d)
A/O
28.
We can use SOH-CAH-TOA for...
a)
Any triangle ever
b)
Non-right triangles only
c)
Right Triangles only
d)
Never
29.
What is the ratio for tangent?
a)
O/A
b)
A/O
c)
A/H
d)
O/H
30.
What is the ratio for sine?
a)
O/H
b)
H/A
c)
H/O
d)
O/A
31.
Which Trig function do you use?
a)
Sine
b)
Cosine
c)
Tangent
32.
Set up the problem.
a)
sin(47) = x/28
b)
cos(47) = x/28
c)
tan(47) = x/28
d)
cos(47) = 28/x
33.
What is the length of side x?
a)
6.57 cm
b)
7 cm
c)
7.44 cm
d)
26.33 cm
34.
Solve for x.
a)
24.20
b)
4.92
c)
290.4
d)
29.75
35.
Set up the problem...
a)
sin X = 41/28
b)
tan X = 41/28
c)
cos X = 28/41
d)
sin X = 28/41
36.
Set up the problem...
a)
sin X = 41/28
b)
tan X = 41/28
c)
cos X = 28/41
d)
sin X = 28/41
37.
A vertical tower is 20 m high from the horizontal ground. The angle of depression of a ball from the top of the tower is 42°. Calculate the distance, in m, of the ball from the base of the tower
a)
18.01 m
b)
29.89 m
c)
13.38 m
d)
22.21 m
38.
Solve for x. 
a)
44.0
b)
41.4
c)
1.12
d)
0.723
39.
Solve for x. 
a)
104
b)
34.6
c)
55.0
d)
23.4
40.
Solve for x. 
a)
9.85
b)
4.74
c)
0.0308
d)
9.87
41.

Find the value of 'x'

a)

57

b)

14

c)

86

d)

28.3

42.

Find the measure of angle 1.

a)

120°

b)

60°

c)

40°

d)

80°

43.

Find the value of 'x'.

a)

53

b)

14

c)

16

d)

37

44.

Find the value of x

a)

54

b)

46.5

c)

15

d)

30

45.

Find the value of x.

a)

68

b)

34

c)

36

d)

104

46.

Find the value of x.

a)

55

b)

125

c)

110

d)

235

47.

Find the value of x.

a)

73

b)

33

c)

36.5

d)

40

48.
a)
9
b)
10
c)
15
d)
14
49.
a)
10
b)
15
c)
12
d)
19
50.
a)
6
b)
13
c)
10
d)
9
51.
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
52.
In the equation (x+2)2+(y-3)2=4, the radius of the circle is...
a)
4
b)
2
c)
3
d)
16
53.
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)
54.

What does area mean?

a)

the distance around a 2-D shape

b)

half the distance around a 2-D shape

c)

the amount of space outside a 2-D shape

d)

the amount of space inside a 2-D shape

55.
What does perimeter mean?
a)
the amount of space inside a shape
b)
the distance around the shape
c)
the amount of space inside a shape divided by two
d)
half the distance around a shape
56.

Which is the apothem?

a)

AD

b)

AB

c)

CD

d)

CB

57.
A line from the center of a regular polygon at right angles to any of its sides.
a)
apothem
b)
radius
c)
permimeter
d)
area
58.

Which is the radius?

a)

AD

b)

AB

c)

CD

d)

CB

59.

Find the area of the regular polygon

a)

374.1

b)

187.1

c)

432

d)

72

60.

Find the area of the rhombus if the diagonals have the lengths shown.

a)

140

b)

280

c)

70

d)

210

61.

Find the area of an triangle equilateral triangle with side lengths of 6.

a)

9√3 in2

b)

9 in2

c)

36√ 3 in2

d)

24√3 in2

62.

The area of a rectangle is 80. The width is 5. What is the perimeter?

a)

16

b)

400

c)

42

d)

21

63.
How many square centimeters of wrapping paper are needed to cover the surfaces of the box? 
a)
108 cm2
b)
324 cm2
c)
180 cm2
d)
432 cm2
64.

Find the surface area of the triangular prism.

a)

228 in2

b)

204 in2

c)

304 in2

d)

328 in

65.

What is the TOTAL surface area of the triangular prism shown.

a)

960 cm2

b)

448 cm2

c)

256 cm2

d)

544 cm2

66.
The formula for the Volume of ...
a)
Spheres
b)
Cones
c)
Cylinders
67.
The formula for the Volume of ...
a)
Cylinders
b)
Spheres
c)
Cones
68.
The formula for the Volume of ...
a)
Cylinder
b)
Cone
c)
Sphere
69.
Find the volume of the figure.
a)
126 cm3
b)
907.5 cm3
c)
605 cm3
d)
55 cm3
70.
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
71.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
72.
Which side is the short leg of this 30-60-90 triangle?
a)
6
b)
m
c)
n
73.
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
74.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
75.
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
76.
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
77.
a)
x=10√3   y=30
b)
x=30√3   y=10
c)
x=10,   y=30√3
d)
x=30   y=10√3
78.
What is the value of x?
a)
2
b)
18
c)
2√9
d)
9√2
79.
What is the value of x?
a)
12√2
b)
2√12
c)
24
d)
2
80.
a)
x=8√3   y=4√3
b)
x=4√3  y=8√3
c)
x=4   y=8
d)
x=8   y=4√3
81.
Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)
a)
A'(9,9) B'(18,18) C'(27,9)
b)
A'(6,6) B'(9,9) C'(12,6)
c)
A'(0,0) B'(3,3) C'(6,0)
d)
A'(1,1) B'(2,2) C'(3,1)
82.
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)
83.
State the coordinate of the image of the given point B (-10,-6) under a dilation with center at the origin with the given scale factor k = 1/2.
a)
(5,3)
b)
(20,12)
c)
(-20,-12)
d)
(-5,-3)
84.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
85.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
86.
A dilation is which of the following: 
a)
only an enlargement
b)
only a reduction
c)
Either an enlargement or a reduction
d)
Neither an enlargement or a reduction
87.
Does the image show a dilation?
a)
Yes
b)
No
88.
A dilation produces a similar figure
a)
True
b)
False
89.

A dilation produces a congruent figure

a)

True

b)

False

90.
Does the image show a Dilation?
a)
Yes
b)
No
91.
In a dilation what mathematical operation is used with the scale factor?
a)
addition 
b)
subtraction 
c)
multiplication 
d)
division 
92.
The __________ is the ratio of a length of the new figure to the corresponding length on the original figure.
a)
reduction
b)
enlargement
c)
scale factor
d)
center of dilation
93.
The red triangle has been dilated by a scale factor of 1/4, which triangle is it's new image? 
a)
green triangle 
b)
red triangle 
c)
black triangle
d)
none of these 
94.

A dilation with a scale factor less than 1 but greater than 0 can produce a _______ of the pre-image figure.

a)

reduction

b)

enlargement

c)

scale factor

d)

center of dilation