Chapter 3Section 3.1

Lines and Angles

Relationships between lines

• Parallel – Coplanar lines that never intersect– Planes can also be parallel

• Skew– Non-coplanar lines that never intersect

• Perpendicular– Lines that intersect to form a 90° angle

Think of Each Segment in the Diagram As Part of a Line. Fill in the Blank With Parallel, Skew, or

Perpendicular.

______.2 areVWandRS

______.4 areRSXplaneandVWTplane

______.1 areWTandUT

______.3 areWXandTU

______.5 areWXandTW

1. Perpendicular

2. Parallel

3. Skew

4. Parallel

5. Perpendicular

6. Name a line parallel to HJ

GKorMN

7. Name a line perpendicular to

JHKLorMNJM ,,

8. Name a line skew to GHKLorMNJM ,,

9. Name a plane parallel to GHJ

LMN

10. Name a line perpendicular to

KJorJMGHHN ,,,

LM

Parallel and Perpendicular Lines

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1 2

34

5 67 8

Corresponding Angles:1 and 7, 2 and 8, 4 and 5, 2 and 8

Alternate Interior: 7 and 6, 5 and 8

Alternate Exterior: 4 and 2, 3 and 1

Consecutive Interior: 7 and 5, 6 and 8

Complete the Statement With Corresponding, Alternate Interior, Alternate Exterior, or

Consecutive Interior

11. 6 and 10 are __________ angles

12. 7 and 9 are __________ angles

13. 8 and 9 are __________ angles

14. 12 and 8 are __________ angles

15. 5 and 11 are __________ angles

16. 8 and 10 are __________ angles

corresponding

alternate interior

consecutive interior

corresponding

alternate exterior

alternate interior