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
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LESSON
3-1
LESSON
3-1
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