Classify each pair of lines. A.

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Transcript Classify each pair of lines. A.

Ch 7 Learning Goal: PLANE GEOMETRY
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Learn to describe the figures by using the terms of geometry (7-1)
Learn to name, measure, classify, estimate and draw angles (7-2)
Learn to understand relationship of angles (7-3)
Learn to classify the different types of lines (7-4)
Learn to classify triangles and solve problems involving angle and side
measures of triangles (7-5)
Learn to identify, classify, and compare quadrilaterals (7-6)
Learn to identify regular and not regular polygons and to find the angle
measures of regular polygons (7-7)
Learn to recognize, describe, and extend geometric patterns (7-8)
Learn to identify congruent figures and to use congruence to solve
problems (7-9)
Learn to use translations, reflections, and rotations to transform geometric
shapes (7-10)
Learn to identify line symmetry (7-11)
Learn to identify tessellations and shapes that can tessellate (7-12)
Page 334 #1-8 Answers
th
6
Grade Math Homework
Ch. 7-4
Page 338
#7-19
Mid-Chapter Chop Chop Quiz Tomorrow!!
(7-1 to 7-4)
7-4 Classifying Lines
Warm Up
Problem of the Day
Lesson Presentation
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7-4 Classifying Lines
Warm Up
Give the complement and supplement
of each angle.
1. 80° 10°, 100°
2. 64° 26°, 116°
3. 15° 75°, 165°
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7-4 Classifying Lines
Problem of the Day
Draw three points that are not in a
straight line. Label them A, B, and C.
How many different lines can you draw
that contains two of the points? Name
the lines.
3; AB, AC, BC
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7-4 Classifying Lines
Today’s Learning Goal Assignment
Learn to classify
the different
types of lines.
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7-4 Classifying
Insert Lesson
Title Here
Lines
Vocabulary
parallel lines
perpendicular lines
skew lines
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7-4 Classifying Lines
Intersecting
lines are lines
that cross at
one common
point.
W
Y
Z
X
Line YZ
intersects line
WX.
YZ intersects
WX.
B
Parallel lines
are lines in the
same plane that
never intersect.
A
L
AB
M
Course 1
Line AB is
parallel to line
ML.
ML.
7-4 Classifying Lines
Perpendicular
lines intersect to
form 90° angles, T
or right angles.
R
U
S
Line RS is
perpendicular
to line TU.
RS
TU.
Writing Math
The square inside a right angle
shows that the rays of the angle
are perpendicular.
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7-4 Classifying Lines
Skew lines are
lines that lie in
different planes.
They are neither
parallel nor
intersecting.
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M
L
B
A
Line AB and
line ML are
skew.
AB and ML are
skew.
7-4 Classifying Lines
Additional Example 1A: Classifying Pairs of
Lines
Classify each pair of lines.
A.
The lines intersect to form right angles.
They are perpendicular.
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7-4 Classifying Lines
Try This: Example 1A
Classify each pair of lines.
A.
The lines are in the same plane. They
do not appear to intersect.
They are parallel.
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7-4 Classifying Lines
Additional Example 1B: Classifying Pairs of
Lines
Classify each pair of lines.
B.
The lines are in different planes and are
not parallel or intersecting.
They are skew.
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7-4 Classifying Lines
Try This: Example 1B
Classify each pair of lines.
B.
The lines intersect to form right angles.
They are perpendicular.
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7-4 Classifying Lines
Additional Example 1C: Classifying Pairs of
Lines
Classify each pair of lines.
C.
The lines are in the same plane. They
do not appear to intersect.
They are parallel.
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7-4 Classifying Lines
Try This: Additional Example 1C
Classify each pair of lines.
C.
The lines are in different planes and are
not parallel or intersecting.
They are skew.
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7-4 Classifying Lines
Additional Example 1D: Classifying Pairs of
Lines
Classify each pair of lines.
D.
The lines cross at one common point.
They are intersecting.
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7-4 Classifying Lines
Try This: Additional Example 1D
Classify each pair of lines.
D.
The lines cross at one common point.
They are intersecting.
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7-4 Classifying Lines
Additional Example 2: Application
The handrails on an escalator are in the
same plane. What type of line relationship do
they represent?
The handrails are in the same
plane and do not intersect.
The lines are parallel.
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7-4 Classifying Lines
Try This: Example 2
The roads are in the same plane. What type
of line relationship do they represent?
The lines cross at one
common point.
The lines are intersecting.
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7-4 Classifying
Insert Lesson
Lines
Title Here
Lesson Quiz
1. Sketch a pair of perpendicular lines.
2. Sketch a pair of parallel lines.
Use the figure to classify the lines.
3. AD and BC parallel
4. AD and CF skew
5. AB and BG perpendicular
Course 1