Parallel And Perpendicular Lines Worksheet Page 44
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50Vocabulary and Concept Check
Vocabulary and Concept Check
alternate exterior angles (p. 128)
parallel lines (p. 126)
skew lines (p. 127)
alternate interior angles (p. 128)
parallel planes (p. 126)
slope (p. 139)
consecutive interior angles (p. 128)
plane Euclidean geometry (p. 165)
slope-intercept form (p. 145)
corresponding angles (p. 128)
point-slope form (p. 145)
spherical geometry (p. 165)
equidistant (p. 160)
rate of change (p. 140)
transversal (p. 127)
non-Euclidean geometry (p. 165)
A complete list of postulates and theorems can be found on pages R1–R8.
Exercises
Refer to the figure and choose the term that best completes each sentence.
1. Angles 4 and 5 are (consecutive,
alternate
) interior angles.
2. The distance from point A to line n is the length of the
1 2
n
segment (
perpendicular
, parallel) to line n through A.
3 4
3. If
4 and
6 are supplementary, lines m and n are
parallel
said to be (
, intersecting) lines.
5 6
m
4. Line is a (slope-intercept,
transversal
) for lines n and m.
7 8
A
5.
1 and
8 are (alternate interior,
alternate exterior
) angles.
6. If n m,
6 and
3 are (supplementary,
congruent
).
7. Angles 5 and 3 are (
consecutive
, alternate) interior angles.
3-1
3-1
Parallel Lines and Transversals
See pages
Concept Summary
126–131.
•
Coplanar lines that do not intersect are called parallel.
•
When two lines are cut by a transversal, there are many angle relationships.
Example
Example
Identify each pair of angles as alternate interior, alternate
1 2
exterior, corresponding, or consecutive interior angles.
3 4
a.
7 and
3
b.
4 and
6
5 6
corresponding
consecutive interior
7 8
c.
7 and
2
d.
3 and
6
alternate exterior
alternate interior
Exercises
Identify each pair of angles as alternate
12
interior, alternate exterior, corresponding, or consecutive
11
10
9
interior angles.
See Example 3 on page 128.
8
7
8.
10 and
6
9.
5 and
12
6
5
10.
8 and
10
11.
1 and
9
4
3
12.
3 and
6
13.
5 and
3
2
1
14.
2 and
7
15.
8 and
9
Chapter 3 Study Guide and Review 167
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