Practice A - Weebly



Practice A

Lines and Angles

Complete the statements by matching the correct term.

1. ______________________ lines are not coplanar. They are not parallel

and do not intersect.

2. Parallel planes are planes that do not ______________________.

3. Perpendicular lines (⊥) intersect at _______________________ angles.

4. ____________________ lines (||) are coplanar and do not intersect.

For Exercises 5–8, identify each of the following in the figure.

5. a pair of parallel segments _________________________

6. a pair of skew segments _________________________

7. a pair of perpendicular segments _________________________

8. a pair of parallel planes _________________________

Refer to the figure to match the correct terms for Exercises 9–13.

9. A transversal is a line that intersects two coplanar _____________________

at two different points. The transversal j and the other two lines k and [pic]

form eight angles.

10. _____________________ angles lie on the same side of the

transversal j, on the same sides of lines k and [pic].

11. Alternate exterior angles lie on opposite sides of the transversal j,

_____________________lines k and [pic].

12. _____________________ interior angles lie on opposite sides of

the transversal j, between lines k and [pic].

13. Same-side interior angles lie on the _____________________

side of the transversal j, between lines k and [pic].

14. Sudeep walks back and forth along parallel segments

in his yard. Then he walks back diagonally across the

yard. Identify each of the following in the figure.

a. a transversal b. corresponding angles

c. alternate interior angles d. alternate exterior angles

Practice B

Lines and Angles

For Exercises 1–4, identify each of the following in the figure.

1. a pair of parallel segments _________________________

2. a pair of skew segments _________________________

3. a pair of perpendicular segments _________________________

4. a pair of parallel planes _________________________

In Exercises 5–10, give one example of

each from the figure.

5. a transversal 6. parallel lines 7. corresponding angles

8. alternate interior angles 9. alternate exterior angles 10. same-side interior angles

Use the figure for Exercises 11–14. The figure shows a

utility pole with an electrical line and a telephone line.

The angled wire is a tension wire. For each angle pair

given, identify the transversal and classify the angle

pair. (Hint: Think of the utility pole as a line for these

problems.)

11. ∠5 and ∠6 12. ∠1 and ∠4

13. ∠1 and ∠2 14. ∠5 and ∠3

Practice C

Lines and Angles

For Exercises 1–4, sketch an example and state the apparent relationship

between lines j and [pic].

1. Line j is parallel to line k and line [pic] is parallel 2. Line k is perpendicular to lines j and [pic].

to line k. Lines [pic] and j are coplanar. Lines [pic] and j are not coplanar.

3. Line k is parallel to line j. Line [pic] is 4. Line j is parallel to line k and line [pic] is

perpendicular to line k. Lines [pic] and j are parallel to line k. Lines [pic], k, and j are

coplanar. not coplanar.

Luke and JoAnne make up a game. For a game board, they draw two lines

crossed by a transversal and then they take turns placing Xs and Os in the

angles. Corresponding angles score 10, alternate interior angles score 20,

alternate exterior angles score 30, and same-side interior angles score 40.

Tally the score for X and O on each game board below.

5. [pic] 6. [pic]

Draw a filled-in game board that satisfies each condition.

7. Neither player scores any points. 8. X scores the maximum possible amoun

LESSON 3-1

PRACTICE A

1. Skew 2. intersect

3. 90° or right 4. Parallel

5. [pic]

6. [pic] and [pic] are skew.

7. [pic]

8. plane ABD (( plane EFH

9. lines 10. Corresponding

11. outside 12. Alternate

13 same 14. line r

15. (1 and (3 or (2 and (4

16. (2 and (3 17. (1 and (4

Practice B

1. [pic]

2. [pic] and [pic] are skew.

3. [pic]

4. plane ABC (( plane DEF

5. line z 6. lines x and y

7. Sample answer: (1 and (3

8. Sample answer: (2 and (6

9. Sample answer: (1 and (5

10. Sample answer: (2 and (3

11. transv.: utility pole; same-side interior angles

12. transv.: tension wire; alternate exterior angles

13. transv.: telephone line; corresponding angles

14. transv.: utility pole; alternate interior angles

Practice C

1. [pic]

Lines j and ( are parallel.

2. [pic]

Lines j and ( are skew.

3. [pic]

Lines j and ( are perpendicular.

4. [pic]

Lines j and ( are parallel.

5. X ( 10; O ( 10

6. X ( 40; O ( 70

7. [pic]

8. [pic]

Reteach

1. g (( h 2. j and h

3. j ( g

4. Possible answers: [pic]

5. Sample answer: [pic]

6. Sample answer: [pic]

7. plane DEF (( plane GHJ

8. Sample answer: [pic]

9. Sample answer: [pic] and [pic]

10. Sample answer: ∠1 and ∠3

11. Sample answer: ∠1 and ∠8

12. Sample answer: ∠2 and ∠3

13. Sample answer: ∠2 and ∠7

14. transv. n; same-side int. [pic]

-----------------------

LESSON

3-1

parallel

skew

90° or right

intersect

outside

same

corresponding

lines

alternate

兘党兜兞兠兢兦全公兮兲兴典凐刴制劜办加劤劦努勖勘勦勨勼匐匢匤卖卨吀怀怏怚怛怦怨怩퓪뗀ꦭꦭꦭ

LESSON

3-1

LESSON

3-1

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

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download