honors geometry: section 3.3 part 2 parallel lines
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Honors Geometry: Section 3.3 part 2 Parallel Lines. Two lines are parallel iff they are coplanar and do not intersect. To indicate that is parallel to we write _______ Arrowheads are use to indicate parallel lines in a figure. - PowerPoint PPT PresentationTRANSCRIPT
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Honors Geometry: Section 3.3 part 2
Parallel Lines
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Two lines are parallel iff they are coplanar and do not intersect.
To indicate that is parallel to we write _______
Arrowheads are use toindicate parallel lines in a figure.
AB CDCDAB //
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Noncoplanar lines which do not intersect are called skew.
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Postulate 3.3.2Corresponding Angles Postulate
(CAP)
If two parallel lines are cut by a transversal, then corresponding
angles are congruent.
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Theorem 3.3.3Alternate Interior Angles Theorem
(AIAT)
If two parallel lines are cut by a transversal, then alternate interior
angles are congruent.
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1) 1) Given
)
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Theorem 3.3.4Alternate Exterior Angles Theorem
(AEAT)
If two parallel lines are cut by a transversal, then alternate exterior
angles are congruent.
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Theorem 3.3.5Same-Side Interior Angles Theorem
(SSIAT)
If two parallel lines are cut by a transversal, then same-side interior
angles are supplementary.
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1. 1. Given
) )
) )
18053 mm
Supp. of Def.
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Examples: Find the value of the variable in each problem.
x
x
xx
4
416
11753
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Examples: Find the value of the variable in each problem.
6.18
18610
180610
18011753
y
y
y
yy
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Examples: Find the value of the variable in each problem.
75.20
1668
180148
1806385
w
w
w
ww