lesson 4-2 parallel lines and transversals. ohio content standards:
TRANSCRIPT
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Lesson 4-2Parallel Lines and Transversals
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Ohio Content Standards:
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Ohio Content Standards:
Recognize and apply angle relationships in situations
involving intersecting lines, perpendicular lines and
parallel lines.
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Ohio Content Standards:
Recognize the angles formed and the relationship between
the angles when two lines intersect and when parallel
lines are cut by a transversal.
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Transversal
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TransversalA line that intersects
two or more lines, each at different points.
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TransversalA line that intersects
two or more lines, each at different points.
b
c
r
1 234
5 6
78
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TransversalA line that intersects
two or more lines, each at different points.
b
c
r
1 234
5 6
78
Interior Angles
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TransversalA line that intersects
two or more lines, each at different points.
b
c
r
1 234
5 6
78
Exterior Angles
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TransversalA line that intersects
two or more lines, each at different points.
b
c
r
1 234
5 6
78
Alternate Interior Angles
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TransversalA line that intersects
two or more lines, each at different points.
b
c
r
1 234
5 6
78
Alternate Exterior Angles
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TransversalA line that intersects
two or more lines, each at different points.
b
c
r
1 234
5 6
78
Consecutive Interior Angles
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Identify each pair of angles as Identify each pair of angles as alternate alternate interior, alternate exterior, consecutive interior, alternate exterior, consecutive
interior, interior, or or vertical.vertical.
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Identify each pair of angles as Identify each pair of angles as alternate alternate interior, alternate exterior, consecutive interior, alternate exterior, consecutive
interior, interior, or or vertical.vertical.
1 23 4
5 6
7 8
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Identify each pair of angles as Identify each pair of angles as alternate alternate interior, alternate exterior, consecutive interior, alternate exterior, consecutive
interior, interior, or or vertical.vertical.
1 23 4
5 6
7 8
5 and 3
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Identify each pair of angles as Identify each pair of angles as alternate alternate interior, alternate exterior, consecutive interior, alternate exterior, consecutive
interior, interior, or or vertical.vertical.
1 23 4
5 6
7 8
8 and 1
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Theorem 4-1Alternate Interior
Angles
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Theorem 4-1Alternate Interior
AnglesIf two parallel
lines are cut by a transversal, then each pair
of alternate interior angles is congruent.
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Theorem 4-1Alternate Interior
AnglesIf two parallel
lines are cut by a transversal, then each pair
of alternate interior angles is congruent.
34
5 6
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Theorem 4-2Consecutive Interior
Angles
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Theorem 4-2Consecutive Interior
AnglesIf two parallel
lines are cut by a transversal, then each pair of consecutive interior angles
is supplementary.
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Theorem 4-2Consecutive Interior
AnglesIf two parallel
lines are cut by a transversal, then each pair of consecutive interior angles
is supplementary.
34
5 6
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Theorem 4-3Alternate Exterior
Angles
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Theorem 4-3Alternate Exterior
AnglesIf two parallel
lines are cut by a transversal, then each pair
of alternate exterior angles is congruent.
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Theorem 4-3Alternate Exterior
AnglesIf two parallel
lines are cut by a transversal, then each pair
of alternate exterior angles is congruent.
21
8 7
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p
rq1 2
3 4
5
6
7
8
.7 find ,1156 If mm
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6 7
8 9
t
A B
C D
.9 and ,8 ,7 find ,1286 If mmmm
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k
2
1
(4x-5)°
(3x+10)°
b
a
.2 and 1 Find mm
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Assignment:
Pgs. 152-153 14-38 evens