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

3-1

Lines and Angles

Holt Geometry

Warm Up

Lesson Presentation

Lesson Quiz


3 1

  • Do Now

  • 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


3 1

Objectives

TSW identify parallel, perpendicular, and skew lines.

TSW identify the angles formed by two lines and a transversal.


3 1

Vocabulary

parallel lines

perpendicular lines

skew lines

parallel planes

transversal

corresponding angles

alternate interior angles

alternate exterior angles

same-side interior angles


3 1

Helpful Hint

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


3 1

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


3 1

Example 2

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


3 1

Example 3: Classifying Pairs of Angles

Give an example of each angle pair.

A. corresponding angles

B. alternate interior angles

C. alternate exterior angles

D. same-side interior angles


3 1

Example 4

Give an example of each angle pair.

A. corresponding angles

B. alternate interior angles

C. alternate exterior angles

D. same-side interior angles


3 1

Helpful Hint

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


3 1

Example 5: Identifying Angle Pairs and Transversals

Identify the transversal and classify each angle pair.

A. 1 and 3

B. 2 and 6

C. 4 and 6


3 1

Example 6

Identify the transversal and classify the angle pair 2 and 5 in the diagram.


3 1

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


3 1

Lesson Quiz: Part II

Identify each of the following.

5. one pairalternate interior angles

6. One pair corresponding angles

7. one pairalternate exterior angles

8. one pairsame-side interior angles


3 1

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


3 1

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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