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WorksheetsGeometry EOC Review
Total questions: 44
Worksheet time: 45mins
Name
Class
Date
1.
Find the distance between these two points:
(3,1) and (7,4).
(3,1) and (7,4).
a)
25
b)
5
c)
√11
d)
4
2.
The midpoint of segment AB is (2,3). One endpoint is A(9,3). Find the coordinates of endpoint B.
a)
(3.5, 0)
b)
(7, 3)
c)
(-5, 3)
d)
(7, 0)
3.
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°
4.
Fill in the blank
a)
Substitution Property of Equality
b)
Substitution Property of Congruence
c)
Transitive Property of Equality
d)
Transitive Property of Congruence
5.
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
6.
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)
7.
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)
8.
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
9.
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
10.
By which property of congruence can you prove the two triangles congruent?
a)
AA
b)
ASA
c)
SSA
d)
AAS
11.
Find the value of x.
a)
x=4
b)
x=5
c)
x=-4
d)
x=-5
12.
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
13.
In the diagram, OP and PQ are midsegments of triangle LMN. Find OP and LM.
a)
OP=27 LM=129
b)
OP=129 LM=27
c)
OP=41 LM=86
d)
OP=86 LM=41
14.
BD is the perpendicular bisector of AC. Find AD.
a)
10
b)
5
c)
38
d)
22
15.
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
16.
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
17.
Find the scale factor of the dilation.
a)
2
b)
0.5
c)
2.5
d)
1.5
18.
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
19.
Which of the following side lengths does NOT make a right triangle?
a)
4, 4√3, and 8
b)
10, 11, and 14
c)
5, 6, and √61
d)
3, 4, and 5
20.
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
21.
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
22.
Find m<A.
a)
≈ 0.015°
b)
≈ 40.6°
c)
≈ 56°
d)
≈ 31°
23.
For any rhombus QRST, decide whether the statement is always, sometimes, or never true.
<Q≅<R
<Q≅<R
a)
Always
b)
Sometimes
c)
Never
24.
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.
25.
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
26.
Find the area of the polygon. Round to the nearest hundredth if necessary.
a)
144
b)
72
c)
≈ 166.28
d)
≈ 332.55
27.
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.
28.
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
29.
What congruence postulate proves that the triangles are congruent?
a)
Side-Angle-Side
b)
Angle-Side-Angle
c)
Side-Side-Side
d)
Hypotenuse-Leg
30.
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
31.
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)
32.
What is the probability that the spinner will land on a pink sector?
a)
26%
b)
25%
c)
28%
d)
32%
33.
What is the volume of the given pyramid, in centimeters?
a)
48 cm3
b)
144 cm3
c)
180 cm3
d)
60 cm3
34.
Find the measure of Angle 1.
*DRAWING NOT TO SCALE*
*DRAWING NOT TO SCALE*
a)
94o
b)
86o
c)
47o
d)
102o
35.
If ABCD is a parallelogram, what is the length of BD?
a)
10
b)
11
c)
7
d)
5
36.
What kind of lines in a triangle form an incenter?
a)
perpendicular bisectors
b)
medians
c)
altitudes
d)
angle bisectors
37.
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
38.
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
39.
What is the difference between a square and a rectangle?
a)
A square is a quadrilateral with all four angles right angles. It follows form this that the opposite sides are parallel and of the same length. A rectangle is a quadrilateral with all four angles right angles and all four sides of the same length.
b)
A rectangle is a quadrilateral with all four angles right angles. It follows form this that the opposite sides are parallel and of the same length. A square is a quadrilateral with all four angles right angles and all four sides of the same length.
c)
Both are quadrilaterals with all four angles right angles. It follows form this that the opposite sides are parallel and of the same length.
d)
Both are a quadrilateral with all four angles right angles and all four sides of the same length.
40.
Find the length of the bolded arc.
a)
A
b)
B
c)
C
d)
D
41.
Two ladders are leaning against a wall at the same angle as shown. How long is the shorter ladder?
a)
8 ft
b)
18 ft
c)
22 ft
d)
36 ft
42.
The triangle below is isosceles. How do we know this?
a)
All angles are congruent
b)
At least 2 angles are congruent
c)
No angles are congruent
d)
Not enough information
43.
Solve for x.
a)
6
b)
7.94
c)
8
d)
9
44.
What is the most specific name for this figure?
a)
rhombus
b)
rectangle
c)
square
d)
parallelogram
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