Use the figure to name each of the following. H, I, J, and K Name a point with a capital letter. Introduction to Geometry: Points, Lines, and Planes PRE-ALGEBRA

Use the figure to name each of the following.

H, I, J, and K Name a point with a capital letter.

Introduction to Geometry: Points, Lines, and PlanesIntroduction to Geometry: Points, Lines, and PlanesPRE-ALGEBRA LESSON 9-1PRE-ALGEBRA LESSON 9-1

a. four points

b. four different segments

c. five other names for KI

d. five different rays

, and OI, IO, OK, KO

HO Name a segment by its endpoints., HJ, KI, and OI

IK Horizontal line KI has several names.

The first letter names the endpoint.HO, OJ, KI , OK, and JH

Quick Check

9-1

MP, OP, QT, ST

MQ, NR, OS

MN, NO, QR, RS

You are looking directly down into a wooden crate. Name each of the following.


a. four segments that intersect PT

b. three segments parallel to PT

c. four segments skew to PT

Quick Check

9-1

Draw two intersecting lines. Then draw a segment that is parallel to one of the intersecting lines.


Use the lines on notebook or graph paper.

First draw two lines that intersect.

Then draw a segment that is parallel to one of the lines.

Quick Check

9-1


Use the figure. Name each of the following.

1. four points

2. another name for EA

3. three different rays

4. three segments that are parallel to HG

5. four segments that are skew to CG

6. four segments that intersect AE

A, B, C, D

EQ

AQ, AE, GR

EF, DC, AB

AB, AD, EF, EH

AB, AD, EF, EH

9-1

Angle Relationships and Parallel LinesAngle Relationships and Parallel LinesPRE-ALGEBRA LESSON 9-2PRE-ALGEBRA LESSON 9-2

9-2

The Jackson County Bird Sanctuary has three times as many owls ashawks. It has 40 hawks and owls in all. How many of each are in the sanctuary?

30 owls, 10 hawks


(For help, go to Lesson 7-5.)

Solve.

1. n + 45 = 180 2. 75 + x = 90

3. 3y = 2y + 90 4. 2a + 15 = a + 45

Check Skills You’ll Need

9-2


Solutions

1. n + 45 = 180 2. 75 + x = 90

n + 45 – 45 = 180 – 45 75 – 75 + x = 90 – 75

n = 135 x = 15

3. 3y = 2y + 90 4. 2a + 15 = a + 45

3y – 2y = 2y – 2y + 90 2a – a + 15 = a – a + 45

y = 90 a + 15 = 45

a + 15 – 15 = 45 – 15

a = 30

9-2

Find the measure of 3 if m 4 = 110°.


Replace m 4 with 110°.m 3 + 110° = 180°

Solve for m 3.m 3 + 110° – 110° = 180° – 110°

m 3 = 70°

3 and 4 are supplementary.m 3 + m 4 = 180°

Quick Check

9-2

1 3, 2 4, 5 7, 6 8

2 7, 6 3

In the diagram, p || q. Identify each of the following.


a. congruent corresponding angles

b. congruent alternate interior angles

Quick Check

9-2


145°

In the diagram, d e.

1. Find the m 5 if m 8 is 35°.

2. Name the congruent corresponding angles.

3. Name the congruent alternate interior angles.

1 5, 2 6, 4 8, 3 7

4 7, 2 5

9-2

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Use the figure to name each of the following. H, I, J, and K Name a point with a capital letter. Introduction to Geometry: Points, Lines, and Planes PRE-ALGEBRA