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

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slide1
3-1

Lines and Angles

Holt Geometry

Warm Up

Lesson Presentation

Lesson Quiz

slide2
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

slide3
Objectives

Identify parallel, perpendicular, and skew lines.

Identify the angles formed by two lines and a transversal.

slide4
Vocabulary

parallel lines

perpendicular lines

skew lines

parallel planes

transversal

corresponding angles

alternate interior angles

alternate exterior angles

same-side interior angles

slide6
Helpful Hint

Segments or rays are parallel, perpendicular, or skew if the lines that contain them are parallel, perpendicular, or skew.

slide7
LM ||QR

KNand PQ

NS SP

Example 1: Identifying Types of Lines and Planes

Identify each of the following.

A. a pair of parallel segments

B. a pair of skew segments

C. a pair of perpendicular segments

D. a pair of parallel planes

plane NMR|| plane KLQ

slide8
BF || EJ

BFand DE are skew.

BF FJ

Check It Out! Example 1

Identify each of the following.

a. a pair of parallel segments

b. a pair of skew segments

c. a pair of perpendicular segments

d. a pair of parallel planes

plane FJH || plane BCD

slide10
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

slide11
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

slide12
Helpful Hint

To determine which line is the transversal for a given angle pair, locate the line that connects the vertices.

slide13
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

slide14
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.

slide15
EH || FG

BFand EH

CG GH

Lesson Quiz: Part I

Identify each of the following.

1. a pair of parallel segments

2. a pair of skew segments

3. a pair of perpendicular segments

4. a pair of parallel planes

ABCand EFG

slide16
Lesson Quiz: Part II

Identify each of the following.

5. one pairalternate interior angles

EHG and HGK

6. One pair corresponding angles

EHG and FGJ

7. one pairalternate exterior angles

IHE and JGK

8. one pairsame-side interior angles

EHG and HGF

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