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Geometry EOC practice questions

Total questions: 50

Worksheet time: 3hrs 49mins

Name
Class
Date
1.
Solve for  y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
2.
What is the length of the hypotenuse?
a)
16
b)
30
c)
34
3.
What is the length of the side adjacent to ∠A?
a)
30
b)
40
c)
50
4.
What is the length of the side opposite ∠X?
a)
16
b)
30
c)
34
5.
What type of special right triangle is this?
a)
Isoceles right
b)
30-60-90
c)
not a special right triangle
6.
Find x.
a)
10
b)
10√3
c)
10√2
d)
20
7.
a)

A

b)

B

c)

C

d)

D

8.
These lines are....
x=6
y=10
a)
Parallel
b)
Perpendicular
c)
Neither
9.
Find the midpoint of the line segment.
a)
(-2.5, 1.5)
b)
(-1.5, 2.5)
c)
(-2, 1)
d)
(2.5, -1.5)
10.

What is the area of the shaded region? Leave your answer as an exact value.

a)

25π - 50

b)

25π - 100

c)

5π - 50

d)

5π - 100

11.
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
12.

Find the area of the shaded region

a)

100π - 200 sq units

b)

100π - 100 sq units

c)

100π sq units

d)

200 - 100π sq units

13.
Solve for x.
a)
6
b)
8
c)
10
d)
12
14.
Find the measure of arc QR
a)
106
b)
85
c)
113
d)
78
15.
Find the value of x.
a)
x = 4.5
b)
x = 9
c)
x = 30
d)
x = 3
16.

The set of all points that are equidistant from a central point is called a ___________.

a)

square

b)

circle

c)

oval

d)

cylinder

17.

line p has a slope of 8 and a y-intercept of (0, 5). Line r is the result of dilating line p by a scale factor of 3 with center (0, 3). What is the slope and y-intercept of line r?

a)

slope: 5; y-intercept: (0, 2)

b)

slope: 8; y-intercept: (0, 5)

c)

slope: 8; y-intercept: (0, 9)

d)

slope: 11; y-intercept: (0, 8)

18.
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
19.

3 & 5

a)

alternate interior

b)

alternate exterior

c)

corresponding

d)

consecutive interior

e)

none

20.

Which of the following is the correct midpoint formula given two endpoints (x1, y1) and (x2, y2)?

a)
b)
c)
d)
21.

Find the length of the arc to 2dp

a)

9.42cm

b)

150.80cm

c)

4.71cm

d)

18.85cm

22.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
23.

Which of the following describes the sequence of transformations shown?

a)

Reflect across the x-axis and then rotate 90º clockwise around the origin

b)

Rotate 90º degrees around the origin and then translate right.

c)

Reflect across the x-axis and then reflect across the y-axis.

d)

Translate up and then rotate 90º counter clockwise about the origin.

24.

Choose ALL the degrees of rotation that will map a regular hexagon onto itself.

a)

90

b)

120

c)

150

d)

240

e)

300

25.
Find the volume of the figure.
a)
126 cm3
b)
907.5 cm3
c)
605 cm3
d)
55 cm3
26.
a)
A
b)
B
c)
C
d)
D
27.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
28.

Square ABCD has vertices at A(1, 2) and B(3, -3). What is the slope of BC‾\overline{BC}  ?

a)

−52\frac{-5}{2}  

b)

25\frac{2}{5}  

c)

13\frac{1}{3}  

d)

−31\frac{-3}{1}  

29.

Kevin asked Olivia what parallel lines are. Olivia responded, "They are lines that never intersect." What important piece of information is missing from Olivia's response?

a)

The lines must be straight

b)

The lines must be coplanar

c)

The lines can be noncoplanar

d)

The lines form four right angles

30.

Which diagram shows only the first step of constructing the line perpendicular to AB through point P?

a)

A

b)

B

c)

C

d)

D

31.

Risha wants to create the perpendicular bisector of line segment AB. She places her compass on point A and opens it the width equal to the length of the line segment AB. She makes arcs above and below the line segment. What could be Trisha's next step to create the perpendicular bisector of line segment AB?

a)

connect the two arcs using a straightedge

b)

connect each arc with point B using a straightedge

c)

place the compass on the approximate midpoint and draw intersecting arcs

d)

place the compass on point B and complete the same steps that she did for point A

32.

Besides the pythagorean theorem, which of the following is the formula to calculate distance?

a)
b)
c)
d)
33.
Find the area of each sector.
a)
52.4 in2
b)
18,864 in2
c)
60 in2
d)
10.47 in
34.
What is the equation of the circle?
a)
(x+1)2 + (y +1)2 = 3
b)
(x+1)2 + (y -1)2 = 3
c)
(x+1)2 + (y +1)2 = 9
d)
(x-1)2 + (y -1)2 = 9
35.
What congruency postulate proves the triangles congruency?
a)
SAS
b)
ASA
c)
SSS
d)
HL
36.

What does a proof always start with?

a)

Theorems

b)

Given Statement(s)

c)

Postulates

d)

Reasons

37.

What property states that something is congruent to itself?

a)

Symmetry Property

b)

Congruence Property

c)

Reflexive Property

38.
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)
39.
What is the "statement" for step 3 of the proof? 
a)
∡EDA≅∡DCB
b)
∡AED≅∡BEC
c)
DE=CE
d)
∡AED≅∡CED
40.
Which statement is true about the value of (√4 + 5) ∙ √4 ?
a)
Irrational because product of two rationals is irrational.
b)
Rational because the products of two rationals is rational.
c)
Irrational because the product of a rational and irrational is irrational.
d)
Rational because the product of two irrationals is rational.
41.
If Z is the centroid, what type of segments are drawn?
a)
angle bisectors
b)
perpendicular bisectors
c)
altitudes
d)
medians
42.

sin⁡25=cos⁡(x+11)\sin25=\cos\left(x+11\right)  
x=x=  


(a)  

43.

Cylinders A and B have the same height. The radius of cylinder A is twice the radius of cylinder B.

a)

Cylinder A has 1/2 the volume of cylinder B.

b)

Cylinder A has twice the volume of cylinder B.

c)

Cylinder A has 4 times the volume of cylinder B.

d)

Cylinder A has 8 times the volume of cylinder B.

44.
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
45.
a)

a

b)

b

c)

c

d)

d

e)

e

46.
a)

a

b)

b

c)

c

d)

d

47.

Find the measure of angle ADC.

(a)  

48.

Find the area

a)

15 in²

b)

37.5 in²

c)

30 in²

d)

45 in²

49.

What is the reasoning for step 5 of the proof?

a)

ASA Congruence

b)

SAS Congruence

c)

AAS Congruence

d)

SSS Congruence

50.
Which of the measurements from the prism will you NOT use to calculate the volume?
a)
6 ft
b)
8 ft
c)
10  ft
d)
12 ft

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