NAME
3-6
DATE
PERIOD
Perpendiculars and Distance
What You’ll Learn
Scan the text under the Now heading. List two things you
will learn about in this lesson.
1.
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2.
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Active Vocabulary
parallel lines
skew
Review Vocabulary Write the definition next to each term.
(Lesson 2-4)
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Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
New Vocabulary Fill in each blank with the correct term or
phrase.
equidistance
The
between two
measured along a
always
lines when
line to the lines is
.
Vocabulary Link Equidistance is a word that is used in
everyday English. Find the definition of equidistance using a
dictionary. Explain how the English definition can help you
remember how equidistance is used in mathematics.
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Chapter 3
51
Glencoe Geometry
Lesson 3-6
____________________________________________________
NAME
DATE
PERIOD
Lesson 3-6 (continued)
Main Idea
Distance from a Point to
a Line
pp. 213–216
Details
Summarize the steps to find the distance between a
point p and a line ℓ on a coordinate plane.
Find the Distance between a Point and a Line.
Step 1: Write an
for the line ℓ.
Step 2: Write an
for the perpendicular line
that goes through point p
Step 3: Use
to find the
coordinates where line ℓ
perpendicular line.
the
Step 4: Use the
to find the
distance between point P and the point of intersection of
the two lines.
Fill in each blank to find the distance between the
parallel lines.
1. y = 3x – 7
The lines are
units apart.
The lines are
units apart.
y = 3x + 4
2. y = –2x – 8
y = –2x + 2
Helping You Remember
Use your dictionary to find the meaning of the
Latin root aequus. List three words that are derived from this root and give meaning to
each.
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Chapter 3
52
Glencoe Geometry
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
Distance Between
Parallel Lines
pp. 216–217