3.1 Identify Pairs of Lines and Angles
Name __________________________________ Class Period _________
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 exercises 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 OL ⊥ 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 on the diagram to the right.
25. A line through M and parallel to NP.
26. A line through N and perpendicular to MP.
27. A line through M and perpendicular to MP.
28. A 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.
T
F
30. The planes containing the stairs are parallel to each other.
T
F
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.
T
F
T
F