AnswersMASTER COURSE GeometryFoundations of Euclidean Geometry

Practice Test Answers

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1
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Which statement must be true about the diagram?

A
Ray KM is an angle bisector of angle NKL .
B
Point K is a midpoint of line segment JL .
C
measure of angle JKN is equal to 1 half measure of angle NKL
D
JK is equal to 1 half KL
2
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Which angles form a linear pair?

A
angle LRP and angle ORP
B
angle PRL and angle LRM
C
angle MRN and angle NRO
D
angle ORP and angle MRN
3

In the diagram, which angles form a linear pair? Choose three correct answers.

A
angle TSU and angle RSV
B
angle RST and angle VSU
C
angle RST and angle TSU
D
angle TSU and angle USV
E
angle RST and angle RSV
4

What is the format of this proof?

A
flowchart proof
B
one-paragraph proof
C
two-column proof
D
two-paragraph proof
5

What is the converse of the statement? Perpendicular lines have negative reciprocal slopes.

A
If lines do not have negative reciprocal slopes, then they are not perpendicular.
B
If lines have negative reciprocal slopes, then they are perpendicular.
C
If lines are perpendicular, then they have negative reciprocal slopes.
D
If lines are not perpendicular, then they do not have negative reciprocal slopes.
7

Which best describes the dimensions of a plane?

A
A plane has zero dimensions because it represents a location on the coordinate plane.
B
A plane has one dimension because it is made up of an infinite number of points.
C
A plane has two dimensions because it is a flat surface that has length and width but no depth.
D
A plane has three dimensions because it is made up of exactly three noncollinear points.
8

The converse of a conditional statement is "If the sum of the exterior angles of a figure is 360 degrees , then the figure is a polygon.” What is the inverse of the original conditional statement?

A
If the sum of the exterior angles of a figure is not 360 degrees , then the figure is not a polygon.
B
If a figure is a polygon, then the sum of the exterior angles is 360 degrees .
C
If a figure is not a polygon, then the sum of the exterior angles is not 360 degrees .
D
If the sum of the exterior angles of a figure is 360 degrees , then the figure is not a polygon.
10

Which two undefined geometric terms always describe figures with no beginning or end?

A
a line and a plane
B
a distance and a plane
C
a distance and a point
D
a line and a point
11

Let p : The day is Tuesday. Let q : The day is Thursday. Let r : She comes to work. Which represents the statement "The day is Tuesday or Thursday if and only if she comes to work”?

A
open paren p wedge q close paren left right arrow r
B
open paren p vee q close paren left right arrow r
C
p left right arrow open paren q vee r close paren
D
p left right arrow open paren q wedge r close paren
14

Which defines a line segment?

A
a piece of a line with one endpoint
B
a piece of a line with two endpoints
C
two rays with a common endpoint
D
all points equidistant from a given point
15

Inductive and deductive reasoning differ in which way?

A
Conclusions drawn using inductive reasoning are always valid, while conclusions drawn using deductive reasoning may or may not be valid.
B
Conclusions drawn using deductive reasoning are always false, while conclusions drawn using inductive reasoning are always true.
C
Conclusions drawn using deductive reasoning are always valid, while conclusions drawn using inductive reasoning may or may not be valid.
D
Conclusions drawn using inductive reasoning are always false, while conclusions drawn using deductive reasoning are always true.
16

Which is another way to name angle UST ?

A
angle UTS
B
angle TSR
C
angle USR
D
angle TSU
17

Which statement is true about angles UST and QSR ?

A
They are congruent.
B
They are obtuse.
C
They are supplementary.
D
They are complementary.
18

Which equation represents the relationship between their measures?

A
m angle 1 plus m angle 2 is equal to 100 degrees
B
m angle 1 plus m angle 2 is equal to 90 degrees
C
m angle 1 plus m angle 2 is equal to 180 degrees
D
m angle 1 plus m angle 2 is equal to 200 degrees
19

What is the format of this proof?

A
two-column proof
B
one-paragraph proof
C
flowchart proof
D
two-paragraph proof

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