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EOC Practice Quiz Review

Total questions: 25

Worksheet time: 55mins

Name
Class
Date
1.
Write the equation of a circle with center (7, 0) with radius 3. 
a)
(x - 7)2 + y2 = 9
b)
x2 + (y -7)2 = 9
c)
(x - 7)2 + y2 = 3
d)
x2 + (y -7)2 = 3
2.
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
3.
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)
4.
State if the two triangles are congruent.  If they are, state which theorem you would use.
a)
Yes, SAS
b)
Yes, SSS
c)
Yes, HL
d)
No
5.

Which equation represents a line that passes through (9,5) and is perpendicular to this line?
 y=15x+3y=\frac{1}{5}x+3  

a)

𝑦= −5𝑥+50

b)

 𝑦=15𝑥+645𝑦=-\frac{1}{5}𝑥+6\frac{4}{5}  

c)

 𝑦=15𝑥+315𝑦=\frac{1}{5}𝑥+3\frac{1}{5}  

d)

𝑦= 5𝑥−40

6.
Which of the following transformations creates a figure that is similar (but not congruent) to the original figure? (multiple choice)
l. Translation   ll. Rotation   lll. Dilation
a)
l only
b)
ll only
c)
lll only
d)
ll and lll
7.
State the line of reflection.
a)
Reflection across y-axis
b)
Reflection across x-axis
c)
Reflection across x = 1
d)
Reflection across y = 1
8.
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
9.

A rope is tied to the bottom of a hot air balloon as shown. The rope makes an angle of 350 with the ground and is 75ft. long. How far is the bottom of the balloon from the ground to the nearest foot?

a)

43 ft.

b)

53 ft.

c)

61 ft.

d)

131 ft.

10.
What is the correct equation to solve for x ?
a)
tan( 46 ) = 17/x
b)
sin ( 46 ) = x/17
c)
tan (46 ) = x/17
d)
cos (46) = x/17
11.

What is the equation of a circle whose center is at (4,5) and whose radius is 6

a)

(x+4)2 + (y+5)2 = 6

b)

(x-4)2 + (y-5)2 = 36

c)

(x+4)2 + (y+5)2 = 36

d)

(x-4)2 + (y-5)2 = 6

12.
A rigid motion ...
a)
preserves size and location
b)
preserves shape and location
c)
preserves size and shape
d)
makes the figure larger
13.

Which of the following is NOT a rigid motion?

a)

Rotation

b)

Reflection

c)

Translation

d)

Dilation

14.
Mrs. Ashley used similar triangles to make a design.  Which statement about the triangles in the design must be true?
a)
They are the same size and shape.
b)
They are the same size but different shapes.
c)
They have corresponding angles that are congruent.
d)
They have corresponding sides that are congruent.
15.
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? Hint: the figures are similar triangles.
a)
8 feet
b)
72 feet
c)
36 feet
d)
144 feet
16.
Find the midpoint of point J and K
a)
(-3,3)
b)
(1,3)
c)
(-1,3)
d)
(2, 2.5)
17.

What is the ratio for Sin?

a)

Hypotenuse/Opposite

b)

Opposite/Hypotenuse

c)

Opposite/Adjacent

d)

Adjacent/Opposite

18.

What is the correct ratio for tan(A)?

a)

20/12

b)

12/20

c)

12/16

d)

16/12

19.

What similarity theorem would prove that these triangles are similar?

a)

SAS∼

b)

SSS∼

c)

AA∼

20.
a)
A
b)
B
c)
C
d)
D
21.
A tangent to a circle is ________________________ to the radius drawn to the point of tangency.
a)
congruent
b)
perpendicular
c)
complimentary
d)
supplementary
22.
What is the correct equation to solve for x ?
a)
tan( 46 ) = 17/x
b)
sin ( 46 ) = x/17
c)
tan (46 ) = x/17
d)
cos (46) = x/17
23.
Calculate the height of a rectangular prism with a length of 5 cm, a width of 3 cm, and a volume of 30 cm³. 
a)
 2 cm
b)
450 cm²
c)
15 cm
d)
3 cm
24.

If the red triangle is rotated 180 degrees, then reflected over y=2 what is the final image?

a)

Green Triangle

b)

Blue Triangle

c)

Orange Triangle

d)

Red Triangle

25.
A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)
a)
24 feet
b)
21 feet
c)
27 feet
d)
32 feet