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3.5 Properties of Parallel Lines

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Geometry Quiz 3.4 2. If two lines intersect to form a pair of adjacent congruent angles, the lines are _____. – PowerPoint PPT presentation

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Title: 3.5 Properties of Parallel Lines


1
3.5 Properties of Parallel Lines
Geometry Quiz 3.4
2. If two lines intersect to form a pair of
adjacent congruent
angles, the lines are
_______________.
2
(No Transcript)
3
3.5 Properties of Parallel Lines
4
Corresponding Angles Postulate
2
1
If two parallel lines are cut by a transversal,
then the pairs of corresponding angles are
congruent.
5
Corresponding Angles Postulate
2
1
If two parallel lines are cut by a transversal,
then the pairs of corresponding angles are
congruent.
6
Alternate Interior Angles Theorem
2
1
If two parallel lines are cut by a transversal,
then the pairs of alternate interior angles are
congruent.
7
Consecutive Interior Angles Theorem
2
1
If two parallel lines are cut by a transversal,
then the pairs of consecutive interior angles are
supplementary.
8
3.5 Properties of Parallel Lines
9
Alternate Exterior Angles Theorem
2
1
If two parallel lines are cut by a transversal,
then the pairs of alternate exterior angles are
congruent.
10
Perpendicular Transversal Theorem
If a transversal is perpendicular to one of two
parallel lines, then it is perpendicular to the
second.
11
3.5 Properties of Parallel Lines
QED
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