Line and Angle Relationships

Line and Angle

Relationships

5.1

Location, Location, Location!

Line Relationships ...................................................... 223

5.2 When Lines Come Together

Angle Relationships Formed by

Two Intersecting Lines ................................................ 233

5.3 Crisscross Applesauce

Angle Relationships Formed by

Two Lines Intersected by a Transversal ........................ 243

? 2013 Carnegie Learning

? Carnegie Learning

The

street plan of

Washington, D.C., was

designed by Pierre

L'Enfant in the 1790s.

Washington is laid out as a

modified grid, with numbered

streets running north-south,

lettered streets running

east-west, and avenues

running diagonally.

221

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221

221

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12:52 AM

PM

Chapter 5 Overview

Line

Relationships

8.8.D

5.2

Angle

Relationships

Formed by Two

Intersecting

Lines

8.8.D

5.3

Angle

Relationships

Formed by

Two Lines

Intersected by a

Transversal

1

This lesson demonstrates the possible

relationships that can exist between

two lines.

Technology

Talk the Talk

Highlights

X

Questions ask students to identify

relationships given different maps.

8.8.D

1

1

This lesson reviews the different

angle relationships that exist between

intersecting lines.

This lesson investigates the

relationships of the angle measures

formed when two parallel and two nonparallel lines are cut by a transversal.

X

X

X

X

X

X

Questions ask students to summarize

their conclusions and solve problems

for unknown angle measurements.

? Carnegie Learning

5.1

Pacing

Peer Analysis

TEKS

Worked Examples

Lesson

Models

This chapter focuses on line and angle characteristics and relationships. It begins with the relationships that can

exist between two lines, then moves to the relationships between angles when intersected by a line, and finally

concludes with angle relationships formed by two lines cut by a transversal.

221A

?

Chapter 5

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Line and Angle Relationships

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Skills Practice Correlation for Chapter 5

Lesson

Problem

Set

Objectives

Vocabulary

5.1

Line

Relationships

1¨C6

Describe sketches of line relationships

7 ¨C 12

Sketch examples of line relationships

13 ¨C 18

Describe sketches using given descriptions

19 ¨C 24

Identify examples of line relationships on a map

Vocabulary

5.2

Angle

Relationships

Formed by Two

Intersecting

Lines

1¨C6

Sketch examples of angle relationships

7 ¨C 12

Identify examples of angle relationships on a map

13 ¨C 18

Complete sketches of angle relationships

19 ¨C 24

Determine unknown angle measures

Vocabulary

1¨C6

Sketch examples of line-angle relationships

7 ¨C 12

Identify examples of line-angle relationships on a map

13 ¨C 16

Complete statements using ¡°congruent¡± or ¡°supplementary¡±

17 ¨C 22

Determine measures of angles

? Carnegie Learning

5.3

Angle

Relationships

Formed by

Two Lines

Intersected by a

Transversal

Chapter 5

462352_C3_TIG_CH05_pp221-266.indd 2

Line and Angle Relationships

?

221B

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? Carnegie Learning

222

?

Chapter 5

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Line and Angle Relationships

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Location, Location,

Location!

Line Relationships

Learning Goal

Key Terms

In this lesson, you will:

?

?

?

?

? Explore possible relationships

between two lines in Euclidean

geometry.

Essential Ideas

? Intersecting lines are lines that cross through

? coplanar lines

? skew lines

? coincidental lines

intersecting lines

plane

perpendicular lines

parallel lines

Texas Essential Knowledge and Skills

for Mathematics

each other.

Grade 8

?

Perpendicular lines are lines that intersect at a

right angle.

?

Parallel lines are lines that lie in the same plane and

do not intersect.

(8) Expressions, equations, and relationships. The

student applies mathematical process standards to

use one-variable equations or inequalities in problem

situations. The student is expected to:

?

?

?

Coplanar lines are lines that lie in the same plane.

?

If two lines are coplanar, then they intersect at a

single point, intersect at an infinite number of points,

or do not intersect.

Skew lines are lines that do not lie in the same plane.

? Carnegie Learning

Coincidental lines are lines that have equivalent linear

equations and overlap at every point when they are

graphed.

(D) use informal arguments to establish facts about

the angle sum and exterior angle of triangles,

the angles created when parallel lines are cut by

a transversal, and the angle-angle criterion for

similarity of triangles

Materials

Protractor

Straightedge

5.1

462352_C3_TIG_CH05_pp221-266.indd 1

Line Relationships

?

223A

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................

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