2013 Geometry Practice Midterm Exam chapters 1-6 » Form A (Master Copy)
Directions: Please choose the best answer choice for each of the following questions.
1.
D is between C and E . CE = 6x , CD = 4x+8 , and D
E = 27 . Find C E .
5.
Given
with
,
, and
, find the length of midsegment
A.
C E = 17.5
B.
C E = 78
.
C. C E = 105
D. C E = 57
2.
In the diagram,
and
.
A.
XY = 3
B.
XY = 1.5
C. XY = 2.5
D. XY = 2
6.
The statement
In order to prove that
side congruence postulate,
.
by the side-anglemust be congruent to
follows from which property?
A.
Reflexive Property of Congruence
B.
Symmetric Property of Congruence
C. Transitive Property of Congruence
D. Segment Property of Congruence
3.
What conclusion can be made using the statements
below?
If it rains today, Margo will stay inside. If Margo stays
inside today, she will finish her book. It rained today.
A.
Margo went outside.
B.
Margo finished her book.
Which of these supports this conclusion about
?
A.
the base angles theorem
B.
the vertical angles theorem
and
C. the reflexive property of congruent angles
D. the symmetric property of congruent angles
C. Margo will stay inside tomorrow.
D. Margo will finish her book tomorrow.
4.
Which of the following is a statement that can be
proven?
A.
axiom
B.
given
C. theorem
D. undefined term
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2013 Geometry Practice Midterm Exam chapters 1-6 » Form A (Master Copy)
7.
In this figure,
is a perpendicular bisector of
.
9.
Name three collinear points.
A.
P , G , and N
B.
R , P , and N
C. R , P , and G
Based on the given information,
which statement may NOT be true?
D. R , G , and N
10.
A.
B.
In
,
.
are medians. Find
C.
.
D.
8.
Stacey and Sam flipped a coin four times and got
heads twice and tails twice.
Stacey said, “I’ve observed that when I flip a coin, I am
equally likely to get heads or tails. So I predict that if
I flip a coin four more times, I will get 2 heads and 2
tails.”
Sam said, “The laws of probability state that for a
balanced coin, either outcome is equally likely. So if
I flip a coin four more times, I will get 2 heads and 2
tails.”
Which of these describes their reasoning?
A.
Stacey and Sam both used inductive reasoning.
B.
Stacey and Sam both used deductive reasoning.
Stacey used inductive reasoning. Sam used
C.
deductive reasoning.
D.
A.
= 17.6
B.
= 26.4
C.
= 24
D.
= 8.8
Stacey used deductive reasoning. Sam used
inductive reasoning.
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2013 Geometry Practice Midterm Exam chapters 1-6 » Form A (Master Copy)
11.
Danny and Dana start hiking from the same base
camp and head in opposite directions. Danny walks
6 miles due west, then changes direction and walks
for 5 miles to point C . Dana hikes 6 miles due east,
then changes direction and walks for 5 miles to point
S . Use the diagram to find which hiker is farther from
the base camp.
12.
Which diagram illustrates the altitude of a triangle?
A.
B.
A.
Danny is farther from the base camp than Dana.
B.
Dana is farther from the base camp than Danny.
C.
Both hikers are the same distance from the base
camp.
D. There is not enough data to answer the question.
C.
D.
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2013 Geometry Practice Midterm Exam chapters 1-6 » Form A (Master Copy)
13.
Vanessa wants to measure the width of a reservoir.
She measures a triangle at one side of the reservoir
as shown in the diagram. What is the width of the
reservoir ( BC across the base)?
A.
300 m
B.
150 m
16.
C. 75 m
15.
is the midpoint of
, and
Which reason can be used to conclude the proof that
?
D. 100 m
14.
Given:
Prove:
Pedro decides to prove the statement below using
proof by contradiction.
Prove: A circle has no straight sides.
How does Pedro begin his proof by contradiction?
A.
Pedro draws a circle using a compass and labels
its center point.
B.
Pedro makes the assumption that a circle does
contain a straight side.
C.
Pedro defines a circle as the set of all points
equidistant from a center point.
D.
Pedro draws many circles and observes that none
of them have straight sides.
A.
Side-Side-Side Postulate
B.
Side-Angle-Side Theorem
C. Angle-Side-Angle Postulate
D. Angle-Angle-Side Theorem
Albert is working on a proof by contradiction. He
assumes that
is a scalene triangle. Which
statement would prove that
is NOT a scalene
triangle?
A.
is a right triangle.
B.
is an acute triangle.
C.
is an obtuse triangle.
D.
is an isosceles triangle.
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2013 Geometry Practice Midterm Exam chapters 1-6 » Form A (Master Copy)
17.
Andrew wrote the following proof.
18.
Lines and
in this diagram are parallel. Jenny is
using the diagram to prove that the sum of the interior
angles of any triangle is
. Jenny starts her proof
by stating that
.
Which step is MOST LIKELY to appear in Jenny’s wellreasoned proof?
A.
Which reason should Andrew use in step 5 to prove
the triangles are congruent?
A.
Side-Side-Side theorem
B.
Side-Angle-Side theorem
B.
C.
D.
C. Angle-Angle-Side theorem
D. Angle-Side-Angle theorem
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2013 Geometry Practice Midterm Exam chapters 1-6 » Form A (Master Copy)
19.
Toby wants to prove that
trapezoid. He knows that
slope.
is an isosceles
and
have the same
21.
Look at the figure below.
Below is a proof to show that
.
Which of the following could be the remaining
information needed to prove that
is an
isosceles trapezoid?
A.
Which statement provides the correct reason for
statement 3?
B.
C.
D.
20.
and
have the same slope.
and
have slopes that are opposite
reciprocals.
Vertical
are equal.
B.
Vertical
equal
C.
Given: If two angles are congruent, then they are
complementary.
Which of the following is a counterexample that shows
that the given statement is false?
A.
D.
22.
corresponds to
.
.
corresponds to
.
B.
When proving the exterior angle sum theorem,
the first step is to show that an exterior angle of a
polygon and an interior angle of a polygon equal 180
degrees. Which angle classification will help justify this
step?
C.
A.
vertical angles
D.
B.
adjacent angles
A.
C. linear pair of angles
D. complementary angles
23.
Andrea cut straws to different lengths in her art class.
What are the lengths of three straws she could use to
make a triangle?
A.
B.
C.
D.
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2013 Geometry Practice Midterm Exam chapters 1-6 » Form A (Master Copy)
24.
The diagram shows the approximate distances from
Houston to Dallas and from Austin to Dallas. What is
the range of distances, d , from Austin to Houston?
26.
Write the sides of
longest.
in order from shortest to
A.
B.
A.
B.
C.
C.
D.
D.
25.
27.
The lengths of two sides of a triangle are 3 inches and
8 inches. Find the range of possible lengths for the
third side, s .
Tell if the measures 6 , 14 , and 13 can be side lengths
of a triangle. If so, classify the triangle as acute, right,
or obtuse.
A.
Yes; acute triangle
Yes; obtuse triangle
A.
5 < s < 11
B.
B.
3 < s < 11
C. Yes; right triangle
D. No.
C. 3 < s < 8
D. 5 < s < 8
28.
Given that
is parallel to
and
, which angle is congruent to
is parallel to
?
A.
B.
C.
D.
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2013 Geometry Practice Midterm Exam chapters 1-6 » Form A (Master Copy)
29.
A portion of a chainlink fence is shown below. Wires
pointing in the same direction are parallel.
31.
Tom drew a quadrilateral that had 2 sets of parallel
sides, 2 sets of congruent sides, and 2 sets of
opposite angles that were congruent but not right
angles. Which of the following quadrilaterals did he
draw?
A.
square
B.
rectangle
C. trapezoid
D. parallelogram
32.
What is the measure of
?
Jordan drew a quadrilateral whose diagonals bisect
each other. Which shape could NOT be Jordan´s
quadrilateral?
A.
parallelogram
B.
rectangle
C. square
A.
D. trapezoid
B.
33.
C.
Given: Quadrilateral
as shown
D.
30.
Look at the figure below.
Which statement is sufficient to show that
parallelogram?
What is the value of
parallel?
, and are lines
and
A.
; lines
and
are parallel.
B.
; lines
and
are NOT parallel.
C.
; lines
and
are parallel.
D.
; lines
and
are NOT parallel.
34.
A.
The diagonals of
are congruent.
B.
The diagonals of
are perpendicular.
is a
C. The diagonals of
bisect opposite angles.
D. The diagonals of
bisect each other.
Use the diagonals to determine
whether a parallelogram with vertices
is a rectangle, rhombus, or square. Give all the names
that apply.
A.
rectangle, rhombus, square
B.
rectangle, rhombus
C. rectangle
D. square
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2013 Geometry Practice Midterm Exam chapters 1-6 » Form A (Master Copy)
35.
Terri has been asked to determine the placement of a
square on this coordinate grid.
36.
Which figure shows two lines that can be proven to be
parallel?
A.
B.
If coordinates
and represent two vertices
on one side of the square, which coordinates could
NOT be either the third or fourth vertex of that square?
C.
A.
B.
C.
D.
D.
37.
Find RS .
A.
RS = 18
B.
RS = 24
C. RS = 20
D. RS = 16
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2013 Geometry Practice Midterm Exam chapters 1-6 » Form A (Master Copy)
38.
Which of the following statements about quadrilaterals
is true?
A.
All rectangles are rhombuses.
B.
All squares are rectangles.
41.
Circle
has a circumference of
inches.
C. All trapezoids are parallelograms.
D. All parallelograms are squares.
39.
Parallelogram
value of ?
is shown below. What is the
What is the length of the radius?
A.
6 inches
B.
18 inches
A.
C. 36 inches
B.
D. 72 inches
C.
D.
40.
Rosie constructs a triangle between two parallel lines,
a and b.
If
and
, what is
?
A.
B.
C.
D.
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2013 Geometry Practice Midterm Exam chapters 1-6 » Form A (Master Copy)
Directions: Review the content below and answer the questions that follow
Shape, Area, Perimeter and Shape, Volume, Surface Area Tables 1
Use the tables below to answer the following questions.
42.
Jennifer has a room that she would like to enlarge.
The room’s current dimensions are shown below. If
she were to double the length of each side, how would
this affect the room’s square footage?
A.
It would increase the square footage by
B.
It would double the square footage.
times.
C. It would triple the square footage.
D. It would quadruple the square
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2013 Geometry Practice Midterm Exam chapters 1-6 » Form A (Master Copy)
43.
Regina loves to make homemade pizza for her family.
Her family likes it when she stuffs the crust with string
cheese. If she makes a circular pizza with a diameter
of
, what length of string cheese will she need to
stuff the crust one time around?
A.
B.
C.
D.
44.
The tire on Jerry’s bicycle measures 20 inches in
diameter. How far will he travel on one complete
revolution of his tire?
A.
B.
C.
D.
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2013 Geometry Practice Midterm Exam chapters 1-6 » Form A (Master Copy)
Directions: Please choose the best answer choice for each of the following questions.
45.
Jon has 6 windows in his den. Each window pane
is 12 inches by 8 inches. Jon plans to add a heat
reflecting film to each window pane. The film he plans
to buy costs $21.50 per square foot.
47.
A.
Which is the minimum cost to buy enough window film
to cover all the windows?
B.
A.
$129.00
C.
B.
$774.00
D.
C. $1,032.00
48.
D. $1,548.00
46.
Julie is painting a square with two colors. She will use
tape to separate each side shown. If each side of the
square is 16 inches long what length of tape does
Julie need?
A playing field is composed of a rectangular area and
two semicircular areas, as shown below.
A pair of adjacent sides of parallelogram
are
and
centimeters in length. If the measure of
included angle is
, find the area of parallelogram
.
A.
The rectangular area measures 50 meters by 30
meters. What is the closest approximation of the
perimeter of the entire playing field?
B.
A.
254 m
C.
B.
207 m
C. 194 m
D.
D. 147 m
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2013 Geometry Practice Midterm Exam chapters 1-6 » Form A (Master Copy)
49.
Jane’s new dormitory room has the dimensions shown
in the figure.
How many square feet of floor space does she have?
A.
160
B.
360
C. 400
D. 480
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2013 Geometry Practice Midterm Exam chapters 1-6 » Form A (Master Copy)
Directions: Review the content below and answer the questions that follow
Warehouse Ramp
A triangle is formed by a ramp leading up to a warehouse.
50.
If the triangle were altered, making it an isosceles right
triangle, and angles and were equal, what would
be the measure of angle ?
A.
B.
C.
D.
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2013 Geometry Practice Midterm Exam chapters 1-6 » Form A (Master Copy)
Directions: Please choose the best answer choice for each of the following questions.
51.
What is the exterior angle measure of a regular
octagon?
A.
120 degrees
B.
90 degrees
53.
John is designing a surface for a desk.
C. 60 degrees
D. 45 degrees
52.
Find
.
What is the measure of
in John’s design?
A.
B.
C.
D.
54.
If the exterior angle measure of a regular polygon is 72
degrees, how many sides does it have?
A.
36
B.
10
C. 5
D. 3
A.
=
B.
=
C.
=
D.
=
55.
Two angles in a pentagon measure 140°, and a third
angle measures 156°. If the remaining two angles
are congruent, what is the measure of each of these
angles?
A.
38°
B.
44°
C. 52°
D. 64°
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2013 Geometry Practice Midterm Exam chapters 1-6 » Form A (Master Copy)
56.
Triangle FGH is a right triangle.
What is definitely true about
59.
and
?
Zach did this construction on his homework. He
used the same compass setting to draw each arc.
What did Zach construct?
57.
A.
They are congruent.
A.
angle bisector
B.
They are both obtuse.
B.
altitude
C. They are supplementary.
C. equilateral triangle
D. They are complementary.
D. triangle median
The construction arcs indicate which construction is
being performed?
60.
The coordinates of point are
coordinates of point are
coordinates of the midpoint of
. The
. What are the
?
A.
B.
C.
D.
61.
A.
a perpendicular bisector of a line segment
B.
a line parallel to a given line
What is the equation of the line on the graph below?
C. a perpendicular from a point to a line
D. a perpendicular at a point on a line
58.
Three towns, Maybury, Junesville, and Cyanna, will
create one sports center. Where should the center be
placed so that it is the same distance from all three
towns?
A.
Treat the towns as vertices of a triangle.
The center must be placed at the triangle´s
circumcenter.
B.
Treat the towns as vertices of a triangle. The
center must be placed at the triangle´s incenter.
C.
Treat the towns as sides of a triangle. The center
must be placed at the triangle´s circumcenter.
A.
D.
Treat the towns as sides of a triangle. The center
must be placed at the triangle´s incenter.
B.
C.
D.
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2013 Geometry Practice Midterm Exam chapters 1-6 » Form A (Master Copy)
62.
What is the distance between the points (1, 3) and (7,
11)?
64.
A.
Which reason is needed to complete the proof in step
?
Given:
Prove:
B.
C.
D.
63.
Find the missing coordinates for the rhombus.
A.
B.
A.
ASA
B.
AAS
C. SAS
D. SSA
C.
D.
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2013 Geometry Practice Midterm Exam chapters 1-6 » Form A (Master Copy)
65.
For these triangles, select the triangle congruence
statement and the postulate or theorem that supports
it.
67.
68.
What is the definition of the term line?
A.
A line is undefined.
B.
A line is the shortest path between two points.
C.
A line is an infinite number of points arranged in a
row.
D.
A line is two rays that share the same vertex and
extend in opposite directions.
Which of the following is the intersection of two distinct
lines?
A.
an angle
B.
a line
C. a plane
D. a point
69.
are the perpendicular bisectors
of
66.
A.
, HL
B.
, HL
C.
, SAS
D.
, SAS
. Find
.
Which additional piece of information is needed to
determine that
using the sideangle-side postulate?
A.
= 12.7
B.
= 8.9
C.
= 9.1
D.
= 18.2
A.
B.
C.
D.
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2013 Geometry Practice Midterm Exam chapters 1-6 » Form A (Master Copy)
70.
bisects
,m
and m
,
. Find m
A.
m
= 22 °
B.
m
=3°
C. m
= 40 °
D. m
= 20 °
.
Stop! You Go
have
onfinished
to the next
thispage
exam.
»
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