Name_________________________________________________________Date__________________Class___________
3.1 Pairs of Lines and Angles Classwork
Think of each segment in the diagram as part of a line. Complete the statement with parallel, skew, or
perpendicular.
1.
WZ and ZR are _____________________
2.
WZ and ST are _____________________
3.
QT and YS are _____________________
4.
Plane WZR and plane SYZ are _____________________
5.
Plane RQT and plane YXW are _____________________
Think of each segment in the diagram as part of a line. Which line(s) or plane(s) appear to fit the description?
6.
Line(s) parallel to EH
7.
Line(s) perpendicular to EH _____________________
8.
Line(s) skew to CD and containing point F_____________________
9.
Plane(s) perpendicular to plane AEH_____________________
10.
_____________________
Plane(s) parallel to plane FGC_____________________
Classify the angle pair as corresponding, alternate interior, alternate exterior, or consecutive interior angles.
11.
1 and 9
_____________________
12.
8 and 13
_____________________
13.
6 and 16
_____________________
14.
4 and 10
_____________________
15.
8 and 16
_____________________
16.
10 and 13
_____________________
In #17-20, use the markings in the diagram.
17.
Name a pair of parallel lines.
18.
Name a pair of perpendicular lines _____________________
19.
Is OL || TR ? Explain.
20. Is
QL TR ? Explain.
_____________________
__________________________________________
__________________________________________
Complete the statement with sometimes, always, or never.
21.
If two lines are parallel, then they _____________________intersect.
22.
If one line is skew to another, then they are _____________________coplanar.
23.
If two lines intersect, then they are _____________________perpendicular.
24. If two lines are coplanar, then they are _____________________parallel.
Sketch the line described on the diagram. Use markings to indicate the appropriate properties.
25.
Line through M and parallel to NP
26.
Line through N and perpendicular to MP
27.
Line through M and perpendicular to MP
28.
Line through P and parallel to MN
Use the diagram of the fire escape to decide whether the statement is true or false.
29.
The planes containing the platforms outside of each pair of
windows are parallel to the ground.
30.
The planes containing the stairs are parallel to each other.
31.
The planes containing the platforms outside of each pair of windows
are perpendicular to the planes containing the stairs.
32.
The planes containing the platform outside of each pair of windows
are perpendicular to the plane containing the side of the building.
Answer Key 3.1B
1.
2.
3.
4.
5.
perpendicular
parallel
skew
perpendicular
parallel
FG , DC , AB ,
7. AE , BH , EF , HG ,
8. EF
6.
9.
10.
11.
12.
13.
14.
15.
16.
planes EFG, ABC, ADF, and BCG
plane EHB
corresponding
consecutive interior
alternate exterior
alternate interior
corresponding
consecutive interior
17.
18.
PM ║ QS
VN RT
19.
20.
21.
22.
23.
24.
No; the lines intersect at T.
No; there is no right angle symbol shown.
never
never
sometimes
sometimes
25.
26.
27.
28.
29
30
31
32
true
true
false
true