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Final Review EXTRA CREDIT - REG

Total questions: 98

Worksheet time: 6hrs 28mins

Name
Class
Date
1.
1. Find ∠ AOC 
a)
130
b)
50 
c)
40
2.
1. Find X 
a)
28
b)
5
c)
55
d)
40
3.
2. FIND ∠SOR
a)
45
b)
135
c)
90
d)
180
4.
Find y.
a)
50
b)
130
5.
State the angle relationship and find the measure of angle 1
a)
Corresponding
110
b)
Alternate Exterior
110
c)
Corresponding
70
d)
Alternate Exterior
70
6.
State the angle relationship and find the measure of angle 1
a)
Alternate Interior
37
b)
Alternate Interior
143
c)
Corresponding
143
d)
Corresponding
37
7.
Find L
a)
∠L=51°
b)
∠L=129°
c)
∠L=180°
d)
∠L=39°
8.
Find C 
a)
∠C=116°
b)
∠C=64°
c)
∠C=180°
d)
∠C=26°
9.
Find x.
a)
130
b)
50
10.
What is the midpoint between (-4,4) and (-2,2)?
a)
(3,2)
b)
(-3,3)
c)
(4,5)
d)
(6,7)
11.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
12.
a)
(3, 1)
b)
(3.5, 1)
c)
(4, 1)
d)
(2, 0)
13.
Find the y-coordinate of the midpoint of the line
a)
1
b)
2
c)
-2
d)
3
14.
Find the distance between the two points: (2, -1) and (2, 5)
a)
0
b)
8.3
c)
6
d)
5.5
15.
a)
12
b)
9
c)
8
d)
10
16.
Find the circumference (to the nearest whole number)
a)
88 in
b)
44 in
c)
116 square in
d)
None of the above
17.
What is the circumference?
a)
36
b)
18pi
c)
108pi
d)
36pi
18.
The diameter of a truck wheel is 56.5 inches. What is the circumference of the wheel?
a)
177.49 inches
b)
167.41 inches
c)
157.41 inches
d)
187.41 inches
19.
Exact volume =
a)
9π in3
b)
90π in3
c)
282.743π in3
d)
30π in3
20.
A rancher wants to cut a metal cylinder in half to use as a watering trough as shown.
If the cylinder has a diameter of 5 feet and a length of 9 feet, which value is closest to the volume of the trough in cubic feet? Use π = 3.14.
a)
176.6 ft3
b)
141.3 ft3
c)
88.3 ft3
d)
70.7 ft3
21.
Sara  and Alanna each drew a cylinder. Sara drew cylinder A. Alanna drew cylinder B. Which cylinder will have a greater volume?
a)
Cylinder A
b)
Cylinder B
22.
The dimensions of grain storage bins in the shape of a cylinder and a rectangular prism are shown. Which measurement is closest to the difference between the volumes of the 2 bins?
a)
24,280 cubic feet
b)
16,430 cubic feet
c)
11,720 cubic feet
d)
4,480 cubic feet
23.
Which equation can be used to find the volume of this figure?
a)
Vol = (8 x 8 x 9) (1/3)
b)
Vol = (8 x 9) ( 8)
c)
Vol = (1/3 x 8 x 9) (9)
d)
Vol = (1/2 x 8 x 9) (8)
24.
Find the volume of this figure?
a)
190cm3
b)
200cm3
c)
140cm3
d)
192cm3
25.
On a trip to Oregon, Sabrina bought a small stone in the shape of a square pyramid as a souvenir. Determine the volume of the stone. Round to the nearest tenth. 
a)
4.5 in ³
b)
6 in ³
c)
6.75 in ³
d)
1.5 in ³
26.
If this figure has a volume of 168 cubic centimeters, what is the height of the figure?
a)
 12 cm
b)
 4 cm
c)
 504 cm
d)
 72 cm
27.

Find the height of the cylinder.

a)

50 ft.

b)

8 ft.

c)

16 ft.

28.

The volume of a cylinder is approximately 942 cubic inches. The height of the cylinder is 12 inches. Which is the best approximation for the radius of the cylinder?

a)

4 inches

b)

5 inches

c)

6 inches

d)

7 inches

29.

A cone with a radius of 5 inches has a volume of approximately 314 cubic inches. Which of the following best represents the height of the cone?

a)

8 inches

b)

4 inches

c)

12 inches

d)

16 inches

30.

Which rule describes the action of the coordinates when a figure is reflected over the x-axis?

a)

(x, y)→(x, -y)

b)

(x, y)→(-x, y)

c)

(x, y)→(-x, -y)

d)

(x, y)→(y, -x)

31.

Which rule describes the action of the coordinates when a figure is rotated 90o counter-clockwise about the origin?

a)

(x, y)→(-y, -x)

b)

(x, y)→(-x, -y)

c)

(x, y)→(-y, x)

d)

(x, y)→(x, -y)

32.

Which rule describes the action of the coordinates when a figure is reflected over the line y = x?

a)

(x, y)→(-y, -x)

b)

(x, y)→(-x, y)

c)

(x, y)→(-x, -y)

d)

(x, y)→(y, x)

33.

Which rule describes the action of the coordinates when a figure is rotated 180o about the origin?

a)

(x, y)→(y, x)

b)

(x, y)→(-x, y)

c)

(x, y)→(-x, -y)

d)

(x, y)→(-y, -x)

34.

Which rule describes the action of the coordinates when a figure is reflected over the y-axis?

a)

(x, y)→(x, -y)

b)

(x, y)→(-x, y)

c)

(x, y)→(-x, -y)

d)

(x, y)→(y, -x)

35.

Which rule describes the action of the coordinates when a figure is rotated 90o clockwise about the origin?

a)

(x, y)→(-y, x)

b)

(x, y)→(-x, y)

c)

(x, y)→(-x, -y)

d)

(x, y)→(y, -x)

36.

Which rule describes the action of the coordinates when a figure is rotated 270o counter-clockwise about the origin?

a)

(x, y)→(-y, -x)

b)

(x, y)→(-x, -y)

c)

(x, y)→(-y, x)

d)

(x, y)→(x, -y)

37.
a)
A
b)
B
c)
C
d)
D
38.
a)
A
b)
B
c)
C
d)
D
39.
What is the m∠HIJ?
a)
108
b)
216
c)
54
d)
60
40.
Find angle F
a)
7
b)
90
c)
45
d)
30
41.
What is m<AEG?
a)
90 degrees
b)
44 degrees
c)
68 degrees
d)
158 degrees
42.
What is m<EAN?
a)
22 degrees
b)
90 degrees
c)
44 degrees
d)
11 degrees
43.

Assume that lines that appear to be tangent are tangent. O is the circle. What is the value of x?

a)

90

b)

140

c)

220

d)

360

44.
What is the value of x?
a)
A
b)
B
c)
C
d)
D
45.
What is the value of x?
a)
22
b)
25
c)
15
d)
20
46.

Find the arc MEASURE of arc YU

a)

55˚

b)

125˚

c)

17˚

d)

25˚

47.

If MK is 10m, find the length of arc MKL

a)

19.02 m

b)

218 m

c)

25.62 m

d)

49.74 m

48.

Find the arc measure for arc VW

a)

45˚

b)

25˚

c)

17˚

d)

55˚

49.
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
50.

Find the arc length of the bolded arc. Give your answer in terms of π.

a)

(65/12)π cm

b)

17.02 cm

c)

(845/24)π cm

d)

26π cm

51.
How could you prove that the triangles are congruent? 
a)
SAS
b)
ASA
c)
SSS
d)
SAA
52.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
53.

ΔAEB ≅ ΔCED by...

a)

SAS

b)

ASA

c)

AAS

d)

SSS

54.
Are these triangles congruent?
a)
Yes, by SSS
b)
Yes, by SAS
c)
Yes, by ASA
d)
No, this is the SSA one!!
55.
How could you prove the triangles are congruent?
a)
AAS
b)
SAS
c)
ASA
d)
CBD
56.
What additional information is required for the 2 triangles to be congruent by SAS?
a)
A
b)
B
c)
C
d)
D
57.
Use the congruence statement to find the missing part of the statement
a)
WV
b)
WU
c)
VU
d)
WB
58.
What does CPCTC stand for?
a)
Corresponding Parts of Congruent Triangles are Congruent
b)
Congruent Parts of Congruent Triangles are Corresponding
c)
Colorful Pieces of Corresponding Triangles are Congruent
d)
Congruent Pieces of Congruent Triangles are Congruent
59.
You should use CPCTC ______
a)
before you prove triangles congruent
b)
to prove two triangles congruent
c)
after proving triangles congruent to get the corresponding parts congruent
d)
never use CPCTC it is not a thing
60.
Fill in the missing proofs.
a)
Transitive Property, SAS(Side-Angle-Side)
b)
Reflexive Property, SAS(Side-Angle-Side)
c)
Reflexive Property, Vertical Angles Thm.
d)
Transitive Property, SSS(Side-Side-Side)
61.
What is the "statement" for step 2 of the proof?
a)
AD=AD
b)
AD=DA
c)
HD=DN
d)
HA = AN
62.
What is the "reason" for step 5 of the proof?
a)
Angle Bisector Theorem
b)
Reflexive property
c)
CPCTC Theorem
d)
Proof
63.
What is the "statement" for step 3 of the proof? 
a)
∡EDA≅∡DCB
b)
∡AED≅∡BEC
c)
DE=CE
d)
∡AED≅∡CED
64.
Line CB corresponds with what line? 
a)
SR
b)
PQ
c)
SP
d)
RQ
65.
Line AB corresponds with what line? 
a)
XZ
b)
XY
c)
YZ
d)
YX
66.
Similarity Ratio: _
a)
2/3
b)
1/2
c)
2
d)
3
67.

Find the scale factor.

a)

0.25

b)

0.5

c)

2

d)

1/2

68.
Triangle ABC and XYZ are similar, ABC is the copy and XYZ is the original shape.  What is the scale factor or multiplier used to make the the smaller one larger?
a)
2
b)
½
c)
⅖
d)
5/2
69.
a)
A
b)
B
c)
C
d)
D
70.

Are the rectangles similar?

a)

Similar

b)

Not Similar

71.
The pair of figures is similar. Find the missing side.
a)
x = 9
b)
x = 28
c)
x = 7
d)
x = 63
72.
Find side length X.
a)
16
b)
18
c)
2.4
d)
15
73.
Solve for X.
a)
2 ft
b)
3 ft
c)
4 ft
d)
6 ft
74.
a)

28.8 feet

b)

500 feet

c)

45 feet

d)

0.002 feet

75.
If a 42.9 ft tall statue casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall man casts?
a)
41.7 ft
b)
36.6 ft
c)
34.6 ft
d)
38.8 ft
76.
A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long.  How tall is the building?
a)
9 m
b)
15.2 m
c)
12 m
d)
17.5 m
77.
A telephone booth that is 8 ft tall casts a shadow that is 4 ft long.  Find the height of a lawn ornament that casts a 2 ft shadow.
a)
4 ft
b)
2 ft
c)
8 ft
d)
6ft
78.
A wedding cake is composed of similar stacked- cylindrical layers (not quite image pictured). The bottom layer is 7 in high and has a diameter of 21 in. The second layer has a diameter of 16.5 in (HINT :"DRAW" THIS IN THE FIGURE). What is the height of the second layer
a)
5.5 in
b)
49.5 in
c)
2.5 in
d)

7 in

79.
You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?
a)
25 feet
b)
26 feet
c)
27 feet
d)
28 feet
80.
A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?
a)
7.5 in
b)
12.4 in
c)
13.6 in 
d)
14.3 in
81.

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

a)

12 feet

b)

13.9 feet

82.

During a football play, Odell Beckham Jr. runs a straight route 40 yards up the sideline before turning around and catching a pass thrown by Eli Manning. On the opposing team, a defender who started 20 yards across the field from Beckham saw the play setup and ran a slant towards Beckham. What was the distance the defender had to run to get to the spot where Beckham caught the ball?

a)

34.6 yards

b)

44.7 yards

c)

60 yards

d)

40 yards

83.
If you are given the opposite side and hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
84.
If you are given the hypotenuse and an adjacent side, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
85.
If you are given the two sides that are not the hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
86.
a)
A
b)
B
c)
C
d)
D
87.
a)
A
b)
B
c)
C
d)
D
88.
a)
A
b)
B
c)
C
d)
D
89.
Find the measure of the indicated angle.
a)
9.39
b)
55.2
c)
20.2
d)
19.4
90.
Find the measure of the missing angle.
a)
64o
b)
26o
c)
61o
d)
.008o
91.
Solve for m∠S.
a)
21
b)
69
c)
23
d)
67
92.
Solve for the missing angle
a)
32°
b)
44°
c)
61°
d)
50°
93.
A yacht is anchored 90 feet offshore from the base of a lighthouse.  The angle of elevation from the boat to the top of the lighthouse is 26 degrees.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Which of these is closest to the height of the lighthouse? 
a)
25 feet
b)
45 feet 
c)
110 feet 
d)
135 feet 
94.
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
95.
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)
17 ft 
96.

Solve for x.

a)

12

b)

3.3

c)

4.9

d)

5.5

97.

x=?

a)

9.5

b)

90

c)

10.5

d)

None of these

98.
x=?
a)
3
b)
5
c)
4
d)
6

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