Defining Terms Answers

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1
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Which defines ray?

A
a piece of a line with two endpoints
B
all points equidistant from a given point
C
two line segments with a common endpoint
D
a piece of a line that starts at the endpoint and extends indefinitely in one direction
3

R✔ T B D

A
R
B
T
C
B
D
D
4

RAD DAR✔ RAB RAC

A
RAD
B
DAR
C
RAB
D
RAC
14

Which statements are true? Select three options.

A
[image 1] and [image 2] are parallel.
Option A
B
[image 1] and [image 2] are parallel.
Option B
C
[image 1] and [image 2] are perpendicular.
Option C
D
[image 1] and [image 2] must intersect.
Option D
E
lies in plane X.
Option E
F
lies in plane X.
Option F
16

Which statements are true regarding the diagram? Check all that apply.

A
CB is contained on line n.
B
is contained on line m.
Option B
C
Ray BC is the same as ray CB.
D
Ray AD is the same as ray AC.
E
∠EAD is created from [image 1] and [image 2] .
Option E
F
∠ECB is created from [image 1] and [image 2] .
Option F
17

The definition of parallel lines requires the undefined terms line and plane, while the definition of perpendicular lines requires the undefined terms of line and point. What characteristics of these geometric figures create the different requirements?

Answer:

Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition.

18

What did you include in your response? Check all that apply.

A
Parallel lines do not intersect.
B
Parallel lines must be coplanar.
C
Perpendicular lines intersect at one point.
D
Perpendicular lines intersect so plane is not required in the definition.
21

Which geometric figures are drawn on the diagram? Check all that apply.

A
Option
Option A
B
Option
Option B
C
∠ABC
D
Option
Option D
E
Option
Option E
F
∠BCE
G
Option
Option G
22

Explain how rays AB and AC form both a line and an angle.

Answer:

Rays AB and AC share a common vertex at point A, which forms an angle (specifically a straight angle). Because these rays point in opposite directions and are collinear, they also form a line that extends infinitely in both directions.

23

What did you include in your response? Check all that apply.

A
Angles are rays with a shared endpoint.
B
Lines extend forever in either direction.
C
Rays AB and AC extend forever in either direction.
26

✔ alwayssometimesnever

A
always
B
sometimes
C
never
27

always✔ sometimesnever

A
always
B
sometimes
C
never
28

always✔ sometimesnever

A
always
B
sometimes
C
never

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