Name
LESSON
3-1
Date
Class
Practice B
Lines and Angles
For Exercises 1–4, identify each of the following in the figure.
%
1. a pair of parallel segments
_
"
$
!
_
&
plane ABC 储 plane DEF
In Exercises 5–10, give one example of
each from the figure.
X
Y
18
27
36
45
Z
6. parallel lines
line z
_
CF ⬜ EF
#
4. a pair of parallel planes
5. a transversal
_
AB and CF are skew.
2. a pair of skew segments
3. a pair of perpendicular segments
Sample_
answers:
_
BE 储 AD
7. corresponding angles
lines x and y
Sample answer:
⬔1 and ⬔3
8. alternate interior angles
9. alternate exterior angles
10. same-side interior angles
Sample answer:
⬔2 and ⬔6
Sample answer:
⬔1 and ⬔5
Sample answer:
⬔2 and ⬔3
Use the figure for Exercises 11–14. The figure shows a
utility pole with an electrical line and a telephone line.
The angled wire is a tension wire. For each angle pair
given, identify the transversal and classify the angle
pair. (Hint: Think of the utility pole as a line for these
problems.)
11. 5 and 6
4
3
6
5
1
tension wire
2
electrical
line
telephone
line
utility pole
12. 1 and 4
transv.: utility pole; same-side
transv.: tension wire; alternate
interior angles
exterior angles
13. 1 and 2
14. 5 and 3
transv.: telephone line;
transv.: utility pole; alternate
corresponding angles
interior angles
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
4
Holt Geometry
Name
LESSON
3-1
Date
Class
Name
Practice A
LESSON
3-1
Lines and Angles
Complete the statements by matching the correct term.
Skew
1.
parallel
skew
and do not intersect.
intersect
90� or right
3. Perpendicular lines (�) intersect at
Parallel
4.
Class
Practice B
Lines and Angles
For Exercises 1–4, identify each of the following in the figure.
lines are not coplanar. They are not parallel
2. Parallel planes are planes that do not
Date
1. a pair of parallel segments
angles.
�
_
�
Sample
answers:
_
_
AC
� EG
_
AC and
DH are
_
_skew.
CG � EG
plane ABD � plane EFH
_
CF � EF
�
plane ABC � plane DEF
4. a pair of parallel planes
lines (�) are coplanar and do not intersect.
_
AB and CF are skew.
�
3. a pair of perpendicular segments
Sample_
answers:
_
BE � AD
_
�
2. a pair of skew segments
90� or right
intersect
.
�
For Exercises 5–8, identify each of the following in the figure.
5. a pair of parallel segments
�
�
�
�
6. a pair of skew segments
�
7. a pair of perpendicular segments
�
�
8. a pair of parallel planes
_
�
In Exercises 5–10, give one example of
each from the figure.
5. a transversal
line z
lines
9. A transversal is a line that intersects two coplanar
at two different points. The transversal j and the other two lines k and �
form eight angles.
�
Corresponding
�
outside
same
angles lie on the same side of the
transversal j, on the same sides of lines k and � .
corresponding
lines
alternate
11. Alternate exterior angles lie on opposite sides of the transversal j,
outside
lines k and � .
12.
Alternate
interior angles lie on opposite sides of
the transversal j, between lines k and � .
13. Same-side interior angles lie on the
side of the transversal j, between lines k and � .
������
�
3-1
Sample answer:
�2 and �3
3
Date
Class
Holt Geometry
tension wire
5
exterior angles
14. �5 and �3
transv.: utility pole; alternate
corresponding angles
interior angles
3-1
2. Line k is perpendicular to lines j and � .
Lines � and j are not coplanar.
�
�
�
Lines j and � are skew.
Lines j and � are parallel.
3. Line k is parallel to line j. Line � is
perpendicular to line k. Lines � and j are
coplanar.
4. Line j is parallel to line k and line � is
parallel to line k. Lines � , k, and j are
not coplanar.
�
Lines j and � are perpendicular.
Description
Examples
parallel
lines that lie in the same
plane and do not intersect
symbol: ||
perpendicular
lines that form 90° angles
symbol: �
skew
lines that do not lie in the
same plane and do not
intersect
��m
k and m
are skew.
�
k��
1. a pair of parallel lines
g�h
Lines j and � are parallel.
�
2. a pair of skew lines
�
j and h
Luke and JoAnne make up a game. For a game board, they draw two lines
crossed by a transversal and then they take turns placing Xs and Os in the
angles. Corresponding angles score 10, alternate interior angles score 20,
alternate exterior angles score 30, and same-side interior angles score 40.
Tally the score for X and O on each game board below.
o x
o o
x o
o x
j�g
Use the figure f or Exercises 4 –9.
Identify each of the following.
o x
o x
�
�
�
�
�
X � 10; O � 10
4. a segment that is parallel to DG
_
_
5. a segment that is perpendicular to GH
_
_
Sample answer: HJ
Possible answers: EH or FJ
Draw a filled-in game board that satisfies each condition.
_
6. a segment that is skew to JF
8. X scores the maximum possible amount.
oo
oo
�
_
X � 40; O � 70
7. Neither player scores any points.
ox
ox
7. one pair of parallel planes
_
plane DEF � plane GHJ
Sample answer: DE
xo
xo
8. one pair of perpendicular
segments,
_
not including GH
_
9. one pair of skew
_ segments,
not including JF
_
_
5
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Geometry
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
51
_
Sample answer: HE and DF
Sample answer: DE � EF
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
�
�
3. a pair of perpendicular lines
6.
5.
Holt Geometry
Use the figure for Exercises 1–3. Identify each of the following.
�
�
Class
Parallel planes are planes that do not intersect. For example, the top and bottom of
a cube represent parallel planes.
�
�
�
Date
Lines and Angles
Lines
������
�������
�
4
Reteach
LESSON
1. Line j is parallel to line k and line � is parallel
to line k. Lines � and j are coplanar.
xx
xx
telephone
line
utility pole
transv.: telephone line;
For Exercises 1–4, sketch an example and state the apparent relationship
between lines j and � .
x x
o x
electrical
line
6
transv.: tension wire; alternate
Name
Lines and Angles
�
3
2
12. �1 and �4
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Practice C
�
4
1
�1 and �4
�2 and �3
LESSON
Sample answer:
�1 and �5
13. �1 and �2
�1 and �3 or �2 and �4
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Sample answer:
�2 and �6
interior angles
�
d. alternate exterior angles
Name
10. same-side interior angles
transv.: utility pole; same-side
�
b. corresponding angles
c. alternate interior angles
Sample answer:
�1 and �3
lines x and y
9. alternate exterior angles
�
�
line r
7. corresponding angles
8. alternate interior angles
11. �5 and �6
�
�
a. a transversal
�
Use the figure for Exercises 11–14. The figure shows a
utility pole with an electrical line and a telephone line.
The angled wire is a tension wire. For each angle pair
given, identify the transversal and classify the angle
pair. (Hint: Think of the utility pole as a line for these
problems.)
same
14. Sudeep walks back and forth along parallel segments
in his yard. Then he walks back diagonally across the
yard. Identify each of the following in the figure.
�
6. parallel lines
�
Refer to the figure to match the correct terms for Exercises 9–13.
10.
18
27
36
45
�
6
Holt Geometry
Holt Geometry