Font size
S
M
L
XL
WorksheetsGeometry EOC
Total questions: 139
Worksheet time: 4hrs 23mins
Name
Class
Date
1.
Determine whether the triangles are similar or not. If so, state how they are similar.
a)
Yes, by AA Similarity
b)
Yes, by SAS Similarity
c)
Yes, by SSS Similarity
d)
No, not similar
2.
The point that is to be transformed is called the:
a)
Pre-Image
b)
Image
c)
Post-Image
d)
Triangle
3.
What is the angle of rotation for this counterclockwise rotation about the origin?
a)
90°
b)
180°
c)
270°
d)
360°
4.
What is the angle of rotation for this counterclockwise rotation about the origin?
a)
90°
b)
180°
c)
270°
d)
360°
5.
Name the largest angle in this triangle.
a)
∠D
b)
∠E
c)
∠F
6.
Identify the missing statement or reason
a)
Reflexive Property
b)
Definition of Midpoint
c)
Given
d)
Vertical Angles Theorem
7.
Find the value of X
a)
20
b)
30
c)
21
d)
19
8.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
9.
a)
3
b)
43.5
c)
66
d)
87
10.
a)
∠QPR ≅ ∠SRT
b)
QP ≅ ST
c)
PR ≅ TR
d)
QR ≅ SR
11.
a)
200
b)
300
c)
450
d)
600
12.
What is the sum of the measures of the interior angles of a 14-sided polygon?
a)
1,980
b)
2,160
c)
2,520
d)
2,880
13.
a)
(2, 0)
b)
(2, 1)
c)
(1, 1)
d)
(1, 0)
14.
a)
∠2, ∠5, ∠8
b)
∠2, ∠6, ∠8
c)
∠3, ∠5, ∠7
d)
∠3, ∠7, ∠8
15.
a)
(x + 2) 2 + (y − 1) 2 = 4.
b)
(x - 2) 2 + (y + 1) 2 = 4.
c)
(x + 2) 2 + (y − 1) 2 = 2.
d)
(x - 2) 2 + (y + 1) 2 = 2.
16.
a)
ASA
b)
AAS
c)
SAS
d)
SSS
17.
a)
–2.5
b)
–1.5
c)
–0.5
d)
1.5
18.
You are reducing a map of dimensions 2 feet by 3 feet to fit to a piece of paper 8 inches by 10 inches. What are the dimensions of the largest possible map that can fit on the page?
a)
6⅔ inches by 10 inches
b)
5 1/3 inches by 10 inches
c)
8 inches by 6 2/3 inches
d)
8 inches by 10 inches
19.
A bell tower is 17 meters tall. It casts a long shadow on the ground below. The tip of the shadow of the bell tower is 51 meters from the base of the bell tower. At the same time, a tall elm tree casts a shadow that is 63 meters long. If the right triangle formed by the tower and its shadow is similar to the right triangle formed by the elm and its shadow, how tall is the elm to the nearest tenth?
a)
13.8 meters
b)
21 meters
c)
189 meters
d)
3.7 meters
20.
a)
∠BAC ≅ ∠DAC
b)
AC ⊥ BD
c)
AB ≅ AD
d)
AC ∥ BD
21.
a)
SAS
b)
CPCTC
c)
SSS
d)
AAS
22.
Reflect (3,5) over the y-axis.
a)
(2,2)
b)
(3,-5)
c)
(-3,-5)
d)
(-3,5)
23.
True or False?
a)
True
b)
False
24.
Find the measure of angle c. Lines l2 and l3 are parallel.
a)
45 degrees
b)
50 degrees
c)
53 degrees
d)
60 degrees
25.
What's wrong with this picture?
a)
The interior angles will not add up to 360.
b)
The exterior angles will not add up to 360.
c)
The interior angles should add up to 720.
d)
All 5 exterior angles should be congruent.
26.
What is the measure of angle c?
a)
133 degrees
b)
111 degrees
c)
116 degrees
d)
128 degrees
27.
A special parallelogram in which all the sides are the same length.
a)
hexagon
b)
rhombus
c)
rectangle
d)
pentagon
28.
Solve for x.
a)
4
b)
-6
c)
-4
d)
6
29.
Which transformation will result in being similar to the original figure but has a larger area?
a)
Dilation with scale factor of 2
b)
Dilation with scale factor of 1
c)
Dilation with scale factor of .5
d)
Translation
30.
Which information is needed to show that a parallelogram is a rectangle?
a)
Diagonals are perpendicular
b)
Diagonals are congruent
c)
Diagonals are perpendicular and congruent
d)
Diagonals bisect each other
31.
In right triangle ABC, angles A and B are complementary. Value of cos A is 0.62. What is sin B?
a)
0.62
b)
.
.01
.01
c)
38
d)
52
32.
In right triangle HJK, <J is right < and tan <H=1. Which statement about triangle HJK is true?
a)
sin <H = 1/2
b)
sin <H = 1
c)
sin <H = cos <H
d)
sin <H = 1/cos <H
33.
What is the volume of a cylinder with a Diameter of 4 in. and a height of 9 in.?
a)
452 in3
b)
113 in3
c)
144 in3
d)
36 in3
34.
a)
3,668.8 feet
b)
12,548.3 feet
c)
39,250.2 feet
d)
41,043.6 feet
35.
Quadrilateral RSTU has vertices R(–6, –3), S(3, 3), and T(4, –1). What are the coordinates of vertex U if RSTU is a parallelogram?
a)
(–5, –6)
b)
(–5, –7)
c)
(–6, –7)
d)
(–6, –8)
36.
Quadrilateral RSTU has vertices R(–6, –3), S(3, 3), and T(4, –1). What are the coordinates of vertex U if RSTU is a parallelogram?
a)
(–5, –6)
b)
(–5, –7)
c)
(–6, –7)
d)
(–6, –8)
37.
a)
37°
b)
53°
c)
90°
d)
127°
38.
A triangle is dilated by a scale factor of ⅓ to produce a new triangle. Which of the following best describes the relationship between the perimeter of the original triangle compared to the perimeter of the new triangle?
a)
The perimeter of the new triangle is ⅓ that of the original triangle
b)
The perimeter of the new triangle is 3 times that of the original triangle.
c)
The perimeter of the new triangle is 1/9 that of the original triangle.
d)
The perimeter of the new triangle is 9 times that of the original triangle
39.
a)
7.6 centimeters
b)
8.4 centimeters
c)
16.3 centimeters
d)
19.9 centimeters
40.
a)
114°
b)
104°
c)
76°
d)
66°
41.
a)
∠B, ∠C, ∠A
b)
∠A, ∠B, ∠C
c)
∠B, ∠A, ∠C
d)
∠A, ∠C, ∠B
42.
What is the equation of a circle that has center (–6, 2) and radius √106 ?
a)
(x − 6)2
+ (y + 2)2 = √106
b)
(x + 6)2 + (y - 2)2 = √106
c)
(x − 6)2 + (y + 2)2 = 106
d)
(x + 6)2 + (y - 2)2 = 106
43.
Solve for x.
a)
4
b)
-6
c)
-4
d)
6
44.
Find the midpoint of (8,-4) and (6,10).
a)
(2,6)
b)
(14,6)
c)
(1,-7)
d)
(7,3)
45.
Find the DG.
a)
14
b)
28
c)
12
d)
16
46.
a)
36°
b)
44°
c)
46°
d)
54°
47.
a)
120°
b)
63°
c)
60°
d)
57°
48.
Take a guess! Which one is the correct construction for a perpendicular bisector?
a)
1
b)
2
c)
3
d)
4
49.
What is the "reason" for step 2 of the proof?
a)
reflexive property
b)
proof
c)
SAS
≅ thrm
≅ thrm
d)
given
50.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
51.
a)
9/15
b)
9/12
c)
12/15
d)
15/12
52.
A triangle is dilated by a scale factor of ⅓ to produce a new triangle. Which of the following best describes the relationship between the perimeter of the original triangle compared to the perimeter of the new triangle?
a)
The perimeter of the new triangle is ⅓ that of the original triangle
b)
The perimeter of the new triangle is 3 times that of the original triangle.
c)
The perimeter of the new triangle is 1/9 that of the original triangle.
d)
The perimeter of the new triangle is 9 times that of the original triangle
53.
If the figure is a rectangle, the value of x is...
a)
2
b)
12
c)
13
d)
28
54.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
ASA
d)
Not Congruent
55.
Find the measure of angle 1.
a)
28o
b)
136o
c)
44o
d)
6o
56.
A line that intersects a segment and cuts a segment into two congruent segments.
a)
Segment Bisector
b)
Angle Bisector
c)
Midpoint
d)
Reflexive Property
57.
Determine whether the triangles are similar or not. If so, state how they are similar.
a)
Yes, by AA Similarity
b)
Yes, by SAS Similarity
c)
Yes, by SSS Similarity
d)
No, not similar
58.
What congruency postulate proves the triangles congruency?
a)
SAS
b)
ASA
c)
SSS
d)
HL
59.
How many degrees are in the missing angle?
a)
60°
b)
114°
c)
70°
d)
360°
60.
a)
576 cm3
b)
785 cm3
c)
1440 cm3
d)
1963 cm3
61.
a)
The volume increases by a factor of 8.
b)
The volume increases by a factor of 27.
c)
The volume increases by a factor of 64.
d)
The volume increases by a factor of 16.
62.
a)
1
b)
2
c)
3
d)
4
63.
What is the reason?
a)
Transitive
b)
Substitution
c)
Reflexive
d)
Segment Addition
64.
Find the measure of angle EFH.
a)
61
b)
65
c)
114
d)
130
65.
a)
38 square inches
b)
19 square inches
c)
7 square inches
d)
24 square inches
66.
If ΔDNP ≅ΔHKF, which of the following is NOT true?
a)
NP ≅ KF
b)
DP ≅ HF
c)
∠D ≅ ∠H
d)
∠P ≅ ∠K
67.
Michael used a compass and a ruler to construct two parallel lines and a transversal. Which of the following statements is a conjecture that Michael can make about the angles formed by the parallel lines and the transversal.
a)
Pairs of same side interior angles are supplementary
b)
Pairs of alternate interior angles are supplementary.
c)
Pairs of alternate exterior angles are supplementary.
d)
Pairs of corresponding angles are supplementary.
68.
a)
6.0
b)
6.7
c)
9.0
d)
9.1
69.
a)
85°
b)
95°
c)
161°
d)
275°
70.
a)
28,800 meters
b)
170 meters
c)
240 meters
d)
120 meters
71.
a)
(a/2) + 4
b)
(a + 4)/2
c)
a + 2
d)
2a + 4
72.
Solve for VZ.
a)
8
b)
9
c)
10
d)
17
73.
Solve for x.
a)
6
b)
8
c)
10
d)
12
74.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
75.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
76.
Use the information in the diagram to determine the height of the tree.
a)
80 feet
b)
320 feet
c)
40 feet
d)
160 feet
77.
Find missing side
a)
5
b)
7
c)
9
d)
11
78.
Find the missing length.
a)
12
b)
48
c)
24
d)
18
79.
Name the parallel segment.
a)
WY
b)
YX
c)
WX
d)
PN
80.
Find the missing length.
a)
x = 7
b)
x = 9
c)
x = 4
d)
x = 8
81.
Lines AO and BO are tangent. What is the measure of BO?
a)
20
b)
15
c)
10
d)
5
82.
What is the "reason" for step 2 of the proof?
a)
reflexive property
b)
proof
c)
SAS
≅ thrm
≅ thrm
d)
given
83.
What is the reason?
a)
Transitive
b)
Substitution
c)
Middle Man
d)
Replacing
84.
Find the midpoint of (8,-4) and (6,10).
a)
(2,6)
b)
(14,6)
c)
(1,-7)
d)
(7,3)
85.
a)
The cables are of equal length in both diagrams
b)
The cable is longer in Diagram 1 than it is in Diagram 2.
c)
The cable is longer in Diagram 2 than it is in Diagram 1.
d)
The length of the cables cannot be determined in either Diagram 1 or 2
86.
a)
Angles 1, 2, and 3 are congruent.
b)
Angles 1, 3, and 5 are congruent.
c)
Angles 2 and 4 are supplementary.
d)
Angles 1 and 5 are supplementary.
87.
a)
QR ≅ ST
b)
QR ∥ ST
c)
QP ≅ PS and TP ≅ PR
d)
Two pairs of sides are congruent.
88.
a)
7.2
b)
6.2
c)
5.4
d)
4.8
89.
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)
90.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
91.
Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5)
a)
(0, -1)
b)
(6, 1)
c)
(1, 6)
d)
(0, 1)
92.
If l∥m, m∠1 = 4x + 15, and m∠2 = 6x − 5, what is m∠1?
a)
10
°
10°
°
10°
b)
17°
c)
55°
d)
83°
93.
a)
48
b)
7
c)
8
d)
16
94.
Find the midpoint between (4, 5) and (10, 12).
a)
(14, 17)
b)
(4.5, 11)
c)
(7, 8.5)
d)
-7/6
95.
Find the distance between (3, -4) and (6, 5).
a)
3√10
b)
10√3
c)
5√2
d)
2√5
96.
Vertical angles are always
a)
acute
b)
total 180 degrees
c)
congruent (equal measures)
d)
adjacent angles
97.
If you know that a quadrilateral has 4 congruent sides, which figure can you conclude it is?
a)
square
b)
rectangle
c)
parallelogram
d)
rhombus
98.
What is the measure of angle JML?
a)
93
b)
94
c)
95
d)
96
99.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
100.
Solve for x.
a)
6
b)
8
c)
10
d)
12
101.
Which is an equation of the line that is perpendicular to line a and passes through the point (-4, 0)?
a)
y = -1/2x +2
b)
y = -1/2x + 8
c)
y = 2x - 2
d)
y = 2x + 8
102.
Find the area of the shaded sector of circle O. Round your answer to the nearest tenth.
a)
9.2 sq. in.
b)
10.5 sq. in.
c)
31.4 sq. in.
d)
38.2 sq. in.
103.
Fill in the blank
a)
Substitution Property of Equality
b)
Substitution Property of Congruence
c)
Transitive Property of Equality
d)
Transitive Property of Congruence
104.
What is the relationship between the volume of a cone and cylinder when they both have the same radius and height?
a)
The cylinder is 1/3 the volume of the cone.
b)
The cone is 1/3 the volume of the cylinder.
c)
They have the same volume.
d)
Their volumes are not related at all.
105.
The playing surface of a football field is 300 ft long and 160 ft wide. If a player runs from one corner of the field to the opposite corner, how many feet does he run?
a)
253.77
b)
140
c)
340
d)
460
106.
A square has side length 95. What is the length of the diagonal of the square? Express your answer in simplest radical form.
a)
134.4
b)
67.2
c)
95√2
d)
(95√2)/2
107.
What is the conditional probability of living on campus, given that you know a student is an engineering major?
a)
10%
b)
11%
c)
12%
d)
13%
108.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
109.
What is the measure of arc AB?
a)
140
b)
142
c)
180
d)
153
110.
The measure of an angle is 37°. What is the measure of its complimentary and supplementary angle?
a)
Complimentary: 16°; Supplementary: 143°
b)
Complimentary: 143°; Supplementary:16°
111.
Find the value of each variable.
a)
X=69 Y=21
b)
X=69 Y=111
c)
X=111 Y=69
d)
X=21 Y=69
112.
Which of the following lines are parallel?
a)
A(2,4) B(4,7) and C(3,5) D(6,7)
b)
A(7,0) B(9,2) and C(5,6) D(7,8)
c)
A(4,1) B(9,1) and C(0,0) D(0,7)
d)
A(4,3) B(6,0) and C(5,2) D(7,7)
113.
Which of these lines are perpendicular?
a)
A(4,1) B(5,3) and C(3,7) D(4,5)
b)
A(4,8) B(4,9) and C(6,7) D(6,8)
c)
A(3,4) B(5,7) and C(2,6) D(5,8)
d)
A(1,7) B(9,3) and C(4,1) and D(5,3)
114.
Find the value of each variable.
a)
x=56 y=104
b)
x=104 y=56
c)
x=5 y=128
d)
x=128 y=5
115.
In the diagram, ABC ≅ DEF. Find the value of each variable.
a)
x=7 y=4
b)
x=4 y=7
c)
x=33 y=44
d)
x=44 y=33
116.
By which property of congruence can you prove the two triangles congruent?
a)
AA
b)
ASA
c)
SSA
d)
AAS
117.
Find the value of x.
a)
x=4
b)
x=5
c)
x=-4
d)
x=-5
118.
What else would you need to know to prove the two triangles congruent by SAS?
a)
AC≅CD
b)
AB≅BD
c)
<A≅<D
d)
Two more side lengths
119.
BD is the perpendicular bisector of AC. Find AD.
a)
10
b)
5
c)
38
d)
22
120.
There are two polygons, ABCD and EFGH. Which of the following are similar?
a)
AB=4 BC=5 CD=6 DA=3
EF=3 FG=4 GH=5 HI=2
EF=3 FG=4 GH=5 HI=2
b)
AB=2 BC=2 CD=3 DA=3
EF=3 FG=3 GH=2 HI=2
EF=3 FG=3 GH=2 HI=2
c)
AB=2 BC=3 CD=4 DA=2
EF=3 FG=5 GH=7 HI=3
EF=3 FG=5 GH=7 HI=3
d)
AB=4 BC=7 CD=6 DA=3
EF=6 FG=10.5 GH=9 HI=4.5
EF=6 FG=10.5 GH=9 HI=4.5
121.
A _________ is a transformation that preserves angle measures and results in a figure proportional to the preimage.
a)
Translation
b)
Rotation
c)
Dilation
d)
Transformation
122.
Find the scale factor of the dilation.
a)
2
b)
0.5
c)
2.5
d)
1.5
123.
Determine whether the triangles are similar. If so, what is the postulate or theorem that justifies your answer?
a)
Similar by SAS similarity theorem
b)
Similar by ASA similarity theorem
c)
Similar by AA similarity theorem
d)
They are not similar
124.
Find the value of X and Y.
a)
x=2√3 y=6
b)
x=6 y=2√3
c)
x=4√3 y=6
d)
x=6 y=4√3
125.
Find tan A and sin C. Round to the nearest hundredth.
a)
tan A≈ 0.92 sin C≈ 0.42
b)
tan A= 2.4 sin C≈ 0.38
c)
tan A≈ 0.42 sin C= 2.6
d)
tan A≈ 1.08 sin C≈ 0.92
126.
Find m<A.
a)
≈ 0.015°
b)
≈ 40.6°
c)
≈ 56°
d)
≈ 31°
127.
For any rhombus QRST, decide whether the statement is always, sometimes, or never true.
<Q≅<R
<Q≅<R
a)
Always
b)
Sometimes
c)
Never
128.
Which of the following is NOT true about a kite?
a)
Its diagonals are perpendicular bisectors.
b)
It has two pairs or consecutive congruent sides.
c)
Exactly one pair of opposite angles are congruent.
d)
It has two pairs of congruent opposite angles.
129.
Decide whether the dilation is an enlargement or a reduction. Then find the scale factor in simplest form.
a)
enlargement; 18/6
b)
enlargement; 3/1
c)
reduction; 6/18
d)
reduction; 1/3
130.
What is the volume of a soda can with a height of six inches and a radius of 2 inches?
a)
75.4 in2
b)
100.53 in3
c)
75.4 in3
d)
18.57 in3
131.
What congruence postulate proves that the triangles are congruent?
a)
Side-Angle-Side
b)
Angle-Side-Angle
c)
Side-Side-Side
d)
Hypotenuse-Leg
132.
Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree. Then find the estimated distance from the angle of elevation to the top of the tree.
a)
63 ft; 132 ft
b)
65 ft; 118 ft
c)
74 ft; 124 ft
d)
87 ft; 132 ft
133.
Triangle D is rotated 360° clockwise about the origin. Which rule describes this transformation?
a)
(x,y)→(-y,x)
b)
(x,y)→(-x,-y)
c)
(x,y)→(y, -x)
d)
(x,y)→(x,y)
134.
What is the probability that the spinner will land on a pink sector?
a)
26%
b)
25%
c)
28%
d)
32%
135.
What is the volume of the given pyramid, in centimeters?
a)
48 cm3
b)
144 cm3
c)
180 cm3
d)
60 cm3
136.
If ABCD is a parallelogram, what is the length of BD?
a)
10
b)
11
c)
7
d)
5
137.
What is the equation of a circle that has center (–6, 2) and radius √106 ?
a)
(x − 6)2 + (y + 2)2 = √106
b)
(x + 6)2 + (y - 2)2 = √106
c)
(x − 6)2 + (y + 2)2 = 106
d)
(x + 6)2 + (y - 2)2 = 106
138.
Find the measure of angle 1.
a)
28o
b)
136o
c)
44o
d)
6o
139.
Find the measure of angle 1.
a)
28o
b)
136o
c)
44o
d)
6o
Reset
