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Geometry EOC Review Part 2

Total questions: 39

Worksheet time: 2hrs 57mins

Name
Class
Date
1.

What is defined as a part of the circumference of a circle?

a)

radius

b)

arc

c)

diameter

d)

perimeter

2.

Consider the circle equation  x2+y212x8y=3x^2+y^2-12x-8y=-3  . What is the radius of this circle? 

a)

 3\sqrt{-3}  

b)

 77  

c)

 4949  

d)

 99  

e)

 33  

3.

What is the measure of arc AB?

a)

 40°40\degree  

b)

 80°80\degree  

c)

 160°160\degree  

d)

 20°20\degree  

4.

Which statement is true about the two triangles?

a)

ΔABCΔDEF\Delta ABC\cong\Delta DEF by SSS

b)

ΔABCΔDEF\Delta ABC\cong\Delta DEF by SAS

c)

ΔABCΔDEF\Delta ABC\cong\Delta DEF by ASA

d)

ΔABCΔDEF\Delta ABC\cong\Delta DEF by AAS

e)

ΔABC\Delta ABC is not congruent to ΔDEF\Delta DEF

5.

What is the correct notation for the figure shown?

a)

VW\overrightarrow{VW}

b)

WV\overrightarrow{WV}

c)

VW\overline{VW}

d)

WV\overleftarrow{WV}

6.

From the perspective of angle  θ\theta , which trig ratio would correctly compare the 2 sides identified with stars?

a)

Sin

b)

Cos

c)

Tan

7.

From the perspective of angle θ\theta , which trig ratio would correctly compare the 2 sides identified with stars?

a)

Sin

b)

Cos

c)

Tan

8.

From the perspective of angle θ\theta , which trig ratio would correctly compare the 2 sides identified with stars?

a)

Sin

b)

Cos

c)

Tan

9.

Which side is the hypotenuse?

a)

x

b)

y

c)

z

d)

m

10.

Find the missing side.

a)

13.3

b)

31.3

c)

14.4

d)

7.5

11.

find cos

a)

y / x

b)

z / x

c)

x / z

d)

x / y

12.

find tan

a)

x / z

b)

z / x

c)

x / y

d)

y / z

13.

Determine if the following triangles are similar.

a)

SSSSSS\sim

b)

SASSAS\sim

c)

AAAA\sim

d)

Not Similiar

14.

Solve for x.

a)

18

b)

12

c)

6.75

d)

85.3

15.
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
16.
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
17.

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown. What is DB to the nearest meter?

a)

10

b)

12

c)

15

d)

18

18.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
19.

Find the length of the missing side. (Calculators are allowed)

a)

17 cm

b)

22 cm

c)

15 cm

d)

13 cm

20.

In a right triangle __________is ALWAYS the longest side.

a)

a leg

b)

a hypotenuse

21.

Find the missing side. (Calculators are allowed)

a)

9

b)

41

c)

6.4

d)

3

22.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled? (Calculators are allowed)

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

23.
Find h
a)
35.60
b)
35.00
c)
35.71
d)
61.03
24.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
25.
What is the volume of a sphere with the radius of 4 inches ? Use 3.14 for pi.
a)
561.5 in³
b)
267.9 in³
c)
201 in³
d)
803.8 in³
26.
When a sphere has a volume of 972π, what is the radius of the sphere?
a)
9
b)
7
c)
18
d)
21
27.
The formula for the Volume of ...
a)
Spheres
b)
Cones
c)
Cylinders
28.
You have a globe that has a radius of 11 inches. Find the volume of your globe. 
a)
523 in3
b)
16,717 in3
c)
5,575 in3
d)
7,235 in3
29.
What is 5π/6 radians in degrees?
a)
180
b)
150
c)
360
d)
120
30.
Convert π radians to degrees.
a)
90⁰
b)
180⁰
c)
360⁰
d)
60⁰
31.
What is 225  degrees in radians? 
a)
7π/4
b)
5π/4
c)
3π/4
d)
5π/3
32.
Acute, right, or obtuse
a)
Acute
b)
Right
c)
Obtuse
d)
I don't know
33.
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
34.
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
35.
Simplify:
a)
√12
b)
(4√3)/3
c)
√3
d)
(2√3)/3
36.
Simplify:
a)
√4√12
b)
4√12
c)
4√3
d)
2√3
37.

What is the distance from Sanjiv's office to the University?

a)

6 miles

b)

12 miles

c)

636\sqrt{3} miles

d)

12312\sqrt{3} miles

38.

A ramp on a moving truck makes a  30°30\degree  angle with the ground. What is the length of the ramp if it is 5 ft tall? Round to the 10ths place (one decimal place) if necessary.



(a)  

39.
a)

12

b)

6√2

c)

6

d)

6√3