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CCG Final Review Semester 1

Total questions: 47

Worksheet time: 2hrs 21mins

Name
Class
Date
1.

What is the new coordinate of the point (-3, 2) after it is reflected over the y-axis?

a)

(-3, -2)

b)

(1, 2)

c)

(2, 2)

d)

(3, 2)

2.

What is the coordinate of the new point when (2, 4) is rotated 90 degrees counter-clockwise about the origin?

a)

(-2, -4)

b)

(2, -4)

c)

(-4, 2)

d)

(2, 4)

3.
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
4.
Identify the transformation.
a)
Reflection across y-axis
b)
90 Rotation counter clockwise
c)
Translation 5 units left, 1 unit up.
d)
Translation 5 units right, 1 unit down
5.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
 Correpsonding
d)
Vertical Angles
6.
Find D
a)
∠D=116°
b)
∠D=64°
c)
∠D=180°
d)
∠D=26°
7.
Find C 
a)
∠C=116°
b)
∠C=64°
c)
∠C=180°
d)
∠C=26°
8.
What is the value of x?
a)
-6
b)
22
c)
16
d)
21
9.

Which set of angle measures could be the interior angles of a triangle?

a)

25°, 30°, 35°

b)

35°, 60°, 75°

c)

45°, 60°, 75°

d)

60°, 90°, 120°

10.
Find the measure of angle 1.
a)
28o
b)
136o
c)
44o
d)
6o
11.

Find the length of the missing side

a)

48

b)

108

c)

83.6

d)

72

12.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
13.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

14.
What is a possible third side to a triangle with side lengths of 5 and 5?
a)
9
b)
10
c)
11
d)
12
15.
Two sides of a triangle have side lengths of 17 meters and 12 meters.  What is the range of possible lengths for the third side?
a)
12 < x < 17
b)
12 < x < 29
c)
5 < x < 17
d)
5 < x < 29
16.

Find the perimeter of the figure.

a)

54 m

b)

64 m

c)

44 m

d)

74 m

17.

Find the area of the figure.

a)

174 m2174\ m^2

b)

274 m2274\ m^2

c)

74 m274\ m^2

d)

125 m2125\ m^2

18.

State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.

a)

Similar by SAS Similarity; ΔEST\Delta EST

b)

Similar by AA Similarity;undefined

c)

Similar by SSS Similarity;undefined

d)

Not Similar

19.

State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.

a)

Similar by SAS Similarity; ΔSFG\Delta SFG

b)

Similar by AA Similarity; ΔSFG\Delta SFG

c)

Similar by SSS Similarity; ΔSFG\Delta SFG

d)

Not Similar

20.

State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.

a)

Similar by SAS Similarity; ΔJUV\Delta JUV

b)

Similar by AA Similarity; ΔJUV\Delta JUV

c)

Similar by SSS Similarity; ΔJUV\Delta JUV

d)

Not Similar

21.

Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.

a)

6

b)

5.7

c)

3.6

d)

2.8

22.

Write the slope-intercept form of the equation of the line described.

Through: (-2, -3), perpendicular to

y=15x5y=-\frac{1}{5}x-5  

a)

y=7x+5y=7x+5  

b)

y=4x+5y=-4x+5  

c)

y=7x+5y=-7x+5  

d)

y=5x+7y=5x+7  

23.

The polygons in each pair are similar. Find the missing side length marked with a question mark.

a)

12

b)

56

c)

42

d)

76

24.

The polygons in each pair are similar. Find the missing side length marked with a question mark.

a)

12

b)

8

c)

5

d)

6

25.

Tangent is the ratio of the...

a)

...the opposite side to the adjacent side for a given angle measurement.

b)

...the adjacent side to the opposite side for a given angle measurement.

c)

...the adjacent side to the hypotenuse for a given angle measurement.

d)

...the opposite side to the hypotenuse for a given angle measurement.

26.

Choose BOTH trigonometric ratios that can be used to find the horizontal distance?

a)

tan (53) = 12 / x

b)

tan (53) = x / 12

c)

tan (37) = 12 / x

d)

tan (37) = x / 12

e)

tan (27) = 12 / x

27.
Find x round to the nearest tenth.
a)
46.1
b)
4.9
c)
16.4
d)
26.9
28.
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
29.
A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marble you pick will be red or blue?
a)
5/6
b)
1/2
c)
1/3
d)
1/6
30.

There are 5 red, 3 blue, 4 green and 2 black marbles in a bag. What is the probability you will reach in and do not grab a blue marble?

a)

5/14

b)

11/14

c)

9/14

d)

3/14

31.
Find y.
a)
144
b)
18
c)
72
d)
12
32.
Using a proportion, find the height of the tree.
a)
x = 0.0625 ft.
b)
16 ft
c)
x = 16 ft.
33.
a)
A
b)
B
c)
C
d)
D
34.
a)
A
b)
B
c)
C
d)
D
35.
a)
A
b)
B
c)
C
d)
D
36.
Which Trig function do you use?
a)
Sine
b)
Cosine
c)
Tangent
37.
REVIEW:
Choose the similarity statement for the triangles.
a)
ΔMNL ∼ ΔOPQ
b)
ΔNOM ∼ ΔPQL
c)
ΔLMN ∼ ΔPQO
d)
ΔMLN ∼ ΔPQO
38.

If the perimeter of the rectangle below is 34 ft.

Determine the length and the width.

a)

Length: 12 ft

b)

Length: 6 ft

c)

Width: 11 ft

d)

Width: 14 ft

39.
Solve for x
a)
5
b)
90
c)
25
d)
10
40.
Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2
a)
Parallel
b)
Perpendicular
c)
Neither
41.

Which of the following lines is PERPENDICULAR to the graph of y = -6x + 3 ?

a)

y=16x+2y=\frac{1}{6}x+2

b)

y=x+4y=x+4

c)

y=16y=-\frac{1}{6}

d)

y=6x32y=6x-32

42.

Write the equation of a line PERPENDICULAR to y = -1/3x + 5 and passes through the point (6,4)

a)

y=13x+14y=-\frac{1}{3}x+14

b)

y=3x+22y=3x+22

c)

y=13x10y=-\frac{1}{3}x-10

d)

y=3x14y=3x-14

43.
Find the area of the polygon.
a)
14 in2
b)
68 in2
c)
36 in2
d)
24 in2
44.
What is the area of this shape?
a)
120 cm2
b)
124 cm2
c)
148 cm2
d)
184 cm2
45.
The following M & M colors are in the bowl:
4 yellow, 6 orange, 3 green, 5 blue, 2 brown.
What is the probability of selecting a brown candy?
a)

218\frac{2}{18}  

b)

2

c)

19\frac{1}{9}  

d)

110\frac{1}{10}  

46.

A standard die is rolled twice. Find each probability.


P (the same number both times)

a)

1/2

b)

1/3

c)

1/6

d)

1/9

47.

If an area model is needed, draw one in your notebook or on a whiteboard: For the following question, if an area model is needed, please draw one in your notebook: The spinners above are each spun once. What is the probability of an odd number on the first spinner and a 3 on the second spinner?

a)

116\frac{1}{16}

b)

26\frac{2}{6}

c)

34\frac{3}{4}

d)

18\frac{1}{8}