1. 3-1 Lines and Angles Warm Up Lesson Presentation Lesson Quiz
Holt Geometry
Warm Up
Lesson Presentation
Lesson Quiz

2. 3.1 Lines and Angles Warm Up Identify each of the following.
1. points that lie in the same plane
2. two angles whose sum is 180°
3. the intersection of two distinct intersecting lines
4. a pair of adjacent angles whose non-common sides are opposite rays
coplanar points
supplementary angles
point
linear pair

3. Objectives 3.1 Lines and Angles
Identify parallel, perpendicular, and skew lines.
Identify the angles formed by two lines and a transversal.

4. Vocabulary 3.1 Lines and Angles parallel lines perpendicular lines
skew lines
parallel planes
transversal
corresponding angles
alternate interior angles
alternate exterior angles
same-side interior angles

5. 3.1 Lines and Angles

6. 3.1 Lines and Angles
Segments or rays are parallel, perpendicular, or skew if the lines that contain them are parallel, perpendicular, or skew.
Helpful Hint

7. Example 1: Identifying Types of Lines and Planes
3.1 Lines and Angles
Example 1: Identifying Types of Lines and Planes
Identify each of the following.
A. a pair of parallel segments
LM ||QR
B. a pair of skew segments
KN and PQ
C. a pair of perpendicular segments
NS  SP
D. a pair of parallel planes
plane NMR || plane KLQ

8. 3.1 Lines and Angles Check It Out! Example 1
Identify each of the following.
a. a pair of parallel segments
BF || EJ
b. a pair of skew segments
BF and DE are skew.
c. a pair of perpendicular segments
BF  FJ
d. a pair of parallel planes
plane FJH || plane BCD

9. 3.1 Lines and Angles

10. Example 2: Classifying Pairs of Angles
3.1 Lines and Angles
Example 2: Classifying Pairs of Angles
Give an example of each angle pair.
A. corresponding angles
1 and 5
B. alternate interior angles
3 and 5
C. alternate exterior angles
1 and 7
D. same-side interior angles
3 and 6

11. 3.1 Lines and Angles Check It Out! Example 2
Give an example of each angle pair.
A. corresponding angles
1 and 3
B. alternate interior angles
2 and 7
C. alternate exterior angles
1 and 8
D. same-side interior angles
2 and 3

12. 3.1 Lines and Angles
To determine which line is the transversal for a given angle pair, locate the line that connects the vertices.
Helpful Hint

13. Example 3: Identifying Angle Pairs and Transversals
3.1 Lines and Angles
Example 3: Identifying Angle Pairs and Transversals
Identify the transversal and classify each angle pair.
A. 1 and 3
transversal l corr. s
B. 2 and 6
transversal n
alt. int s
C. 4 and 6
transversal m
alt. ext s

14. 3.1 Lines and Angles Check It Out! Example 3
Identify the transversal and classify the angle pair 2 and 5 in the diagram.
transversal n
same-side int. s.

15. 3.1 Lines and Angles Lesson Quiz: Part I
Identify each of the following.
1. a pair of parallel segments
EH || FG
2. a pair of skew segments
BF and EH
3. a pair of perpendicular segments
CG  GH
4. a pair of parallel planes
ABC and EFG

16. 3.1 Lines and Angles Lesson Quiz: Part II
Identify each of the following.
5. one pair alternate interior angles
EHG and HGK
6. One pair corresponding angles
EHG and FGJ
7. one pair alternate exterior angles
IHE and JGK
8. one pair same-side interior angles
EHG and HGF