Identifying Parallel Planes
The planes of the front and back are
parallel. Name two other pairs of
1.3 Homework
parallel planes in the figure.
Plane
ABHG
|| plane
DCIJ\
Sketch
each of
the following.
• plane ADJ || plane BCI.
dillQ O
1.) AB
ple 1
B
1,
Ji
1
f
D
1
1
diagram at the right to name
\
\
the figures.
\
\
a. three
 pairs of parallel planes
BA that is parallel to PQ
b.2.)a line
c. a line that is parallel to plane QRUV
\
V

3.) BA
U
S
Use the figure at the right.
oblem Solving
mple
H
Ll_
For more practice, see Extra Practice.
4.) Name all the labeled segments.
Sketch each of the following.
1. AB
2. AB
3. BA
4. BA
ge 17)
ple 2
ge 18)
Use
the figure
the right
for Exercises 5-10.
5.) Name
all theatlabeled
rays.
5. Name all the labeled segments.
6. Name all the labeled rays.
7. a. Name a pair of opposite rays with T
6.) a. Name a pair of opposite rays with T as an endpoint.
as an endpoint.
b. Name another pair of opposite rays.
Exercises 5-10
Copy the line pictured above. On your copy mark a difi'erent point, Y.How many
of each type of figure are there with Y as an endpoint? Name them.
8. segments
9. rays
b. Name another pair of opposite
rays.
10. Critical Thinking Are there any new rays you can name (see Exercise 6) using
R, S, T, or W as the endpoint and Y as the second point? If yes, name them.
In the diagram, name all segments shown that are
parallel to the given segment.
re are there with Y as an endpoint? Name them.
9. rays
g Are
there
any new rays you can name (see Exercise 6) using
In the
diagram,
the endpoint
and Y as the second point? If yes, name them.
name all segments shown that are parallel to the given segment.
7.) AC
me all segments shown that are
n segment.
8.) AD
12. EF
13. AD
A
me all segments
shown
areto the given segment.
name all segments
thatthat
are skew
egment.
C
Exercises 11-20
9.) EF
15. EF
16. AD
bove andname
name
pair
oftofigures
todescription.
match each description.
a pairaof
figures
match each
10.) parallel planes
18. parallel lines
19. skew lines
ne that are parallel
11.) parallel lines
12.) skew lines
Lesson
1-3 Segments, Rays, Parallel Lines and Planes
13.) a line and a plane that are parallel
19
Use the figure at the right to name the following.
 following.
se the figure
at lines
the that
right
name
AB
14. all
areto
parallel
to the
. all lines that are parallel to AB
. two lines15.that
are skew to *EJ 
two lines that are skew to EJ
. all lines that are parallel to plane JFAE
. the intersection of plane FAB and plane FAE
16. all lines that are parallel to plane JFAE
Exercises 25-32, describe the statement as
ue or false. Iffalse, explain.
17. the intersection of plane FAB and plane FAE
.W I^
6.^ \\JlG
. plane AED || plane FGH
Are the
figuresCDF
the same?
. plane ABF[
|| plane
Explain.
XY and
. AB and18.
"hG
areYXskewlines.
30. AE and BC are skew hnes.
. CG and AI are skew lines.
32, CF and A/ are skew lines.


re the two 19.
figures
XY andthe
YX same? Explain.
. XY and YX
34. XY and YX
35. XY and YX
. The following
 show how to draw planes A and B intersecting in F(j.
 steps
20. XY and YX
Step 1
Step 2
Step 3
/a /g
/
Y T
Complete exercises 21-31 with always, sometimes, or never to make a true
statement.
21.) Two parallel lines are ____________________ coplanar.
22.) Two skew lines are ____________________ coplanar.
23.) Two opposite rays ____________________ form a line.


24.) TQ and QT are ____________________ the same line.


25.) GH and HG are ____________________ the same ray.


26.) JK and JL are ____________________ the same ray.
27.) AX and XA are ____________________ the same segment.
28.) Two lines in the same plane are ____________________ coplanar.
29.) Two planes that do not intersect are ____________________ parallel.
30.) Two lines that lie in parallel planes are ____________________ parallel.
31.) Two lines in intersecting planes are ____________________ skew.
Answer Key
  
16. BG , DH , CL
1.

17. AF
2.
18. Yes; both name the segment
with endpoints X and Y
3.
4. RS , RT , RW , ST , SW , TW
     
5. RS , ST , TW , WT , TS , SR
 

6. a. TS or TR , TW
 
b. SR , ST
7. DF
8. BE , CF
9. AD , AB , AC
10. ABC DEF
 
11. BE AD
 
12. CF , DE

13. DEF, BC

14. FG
15. Answers may vary.
 
Sample: CD , AB
19. No; the two rays have
different endpoints.
20. Yes; both are the line
through points X and Y.
21. always
22. never
23. always
24. always
25. never
26. sometimes
27. always
28. sometimes
29. always
30. sometimes
31. sometimes