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WorksheetsS.G Geometry EOC practice
Total questions: 40
Worksheet time: 32mins
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.
Use the diagram to determine whether the statement is true or false.
Points P, R, T, and S are co-planar.
Points P, R, T, and S are co-planar.
a)
True
b)
False
4.
Describe the pattern in numbers. Then find the next number.
200, -100, 50, -25...
200, -100, 50, -25...
a)
Pattern: multiply by 1/2
Next number: 12.5
Next number: 12.5
b)
Pattern: multiply by 1/2
Next number: -12.5
Next number: -12.5
c)
Pattern: multiply by -1/2
Next number: 12.5
Next number: 12.5
d)
Pattern: divide by -1/2
Next number: -12.5
Next number: -12.5
5.
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°
6.
Choose the contrapositive of the statement:
If segment QS bisects <PQR into two congruent angles, then QS is an angle bisector.
If segment QS bisects <PQR into two congruent angles, then QS is an angle bisector.
a)
If segment QS does not bisect <PQR into two congruent angles, then QS is not an angle bisector.
b)
If segment QS bisects <PQR into two congruent angles, then QS is an angle bisector.
c)
If QS is an angle bisector, then segment QS bisects <PQR into two congruent angles.
d)
If QS is not an angle bisector, then segment QS does not bisect <PQR into two congruent angles.
7.
Which law of logic was used?
A midpoint divides a segment into two equal parts. Point B divides AC into two congruent parts. Therefore, point B is a midpoint.
A midpoint divides a segment into two equal parts. Point B divides AC into two congruent parts. Therefore, point B is a midpoint.
a)
Law of Detachment
b)
Law of Syllogism
8.
Fill in the blank
a)
Substitution Property of Equality
b)
Substitution Property of Congruence
c)
Transitive Property of Equality
d)
Transitive Property of Congruence
9.
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
10.
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)
11.
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)
12.
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
13.
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
14.
By which property of congruence can you prove the two triangles congruent?
a)
AA
b)
ASA
c)
SSA
d)
AAS
15.
Find the value of x.
a)
x=4
b)
x=5
c)
x=-4
d)
x=-5
16.
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
17.
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
18.
BD is the perpendicular bisector of AC. Find AD.
a)
10
b)
5
c)
38
d)
22
19.
Where is the orthocenter of an obtuse triangle found.
a)
On the triangle
b)
Outside of the triangle
c)
Inside of the triangle
20.
Find the value of x.
a)
x=4.5
b)
x=3
c)
x=13.5
d)
x=15
21.
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
22.
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
23.
Find the scale factor of the dilation.
a)
2
b)
0.5
c)
2.5
d)
1.5
24.
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
25.
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
26.
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
27.
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
28.
Find m<A.
a)
≈ 0.015°
b)
≈ 40.6°
c)
≈ 56°
d)
≈ 31°
29.
Find the sum of the measures of the interior angles of a convex 13-gon.
a)
1,980°
b)
2,340°
c)
152.3°
d)
27.69°
30.
For any rhombus QRST, decide whether the statement is always, sometimes, or never true.
<Q≅<R
<Q≅<R
a)
Always
b)
Sometimes
c)
Never
31.
Find the measures of <A, <B, and <C.
a)
m<A=115° m<B=65°
m<C=115°
m<C=115°
b)
m<A=98° m<B=98°
m<C=98°
m<C=98°
c)
m<A=65° m<B=115° m<C=115°
d)
m<A=115 m<B=65°
m<C=65°
m<C=65°
32.
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.
33.
Translate the points using the vector<4,-2>.
(5,3) (4,5) (-4,6) and (-2,2)
(5,3) (4,5) (-4,6) and (-2,2)
a)
(1,9) (3,8) (4,0) (0,2)
b)
(1,5) (0,7) (-8,8) (-6,4)
c)
(9,1) (8,3) (0,4) (2,0)
d)
(3,7) (2,9) (-6,10) (-4,6)
34.
Add the matricies.
a)
|11 9|
|6 1|
|6 1|
b)
|3 3|
|-10 7|
|-10 7|
c)
|4 14|
|1 8|
|1 8|
d)
|0 0|
|0 0|
|0 0|
35.
How many lines of symmetry does the polygon have?
a)
3
b)
2
c)
1
d)
None
36.
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
37.
Find the circumference and area of the circle. Round answer to the nearest hundredth.
a)
C≈25.13 A≈12.57
b)
C≈25.13 A≈50.27
c)
C≈12.27 A≈50.27
d)
C≈12.57 A≈12.57
38.
Find the area of the polygon. Round to the nearest hundredth if necessary.
a)
144
b)
72
c)
≈ 166.28
d)
≈ 332.55
39.
What is the probability that a point lying in the circle will also lie in the shaded region?
a)
37.5%
b)
0.375%
c)
40.93%
d)
0.4093%
40.
A figure is made using a cube with a side length of 7 and a hemisphere with a diameter of 6 inches. Find the volume of the figure.
a)
≈ 229.9
b)
≈ 456.1
c)
≈399.55
d)
≈ 286.45
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