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Angles and Transversals(revised).notebook
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October 09, 2014
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Parallel Lines, Angles, and Transversals
parallel lines: two lines in the same plane (coplanar)
that never meet
DVD shelf
Roads
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Angles and Transversals(revised).notebook
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parallel planes: planes that do not intersect
Plane ABE Plane CHG
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skew lines: two lines that are not in the same plane
(noncoplanar), not parallel, and do NOT intersect
AB and EG are skew lines
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Name all segments that are skew to TK.
Name all planes that are parallel to plane ABC.
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7.
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Transversal
Transversal: A line that intersects two or
more lines at different points.
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*If two parallel lines are cut by a transversal, then the two pairs of
alternate exterior angles are congruent.*
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*If two parallel lines are cut by a transversal, then the
two pairs of alternate exterior angles are congruent.*
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*If two parallel lines are cut by a transversal, then the
two pairs of same-side interior angles are
supplementary.*
m<1 + m<4 = 180 degrees and m<2 + m<3 = 180 degrees
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*If two parallel lines are cut by a transversal, then the
two pairs of alternate exterior angles are congruent.*
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Transversal
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a.) <7 & < 11: corresponding
c.) <7 and <12: corresponding
f.) <2 and <12: alternate exterior
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c.) <8 and <12: corresponding
d.) <1 and <5: corresponding
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(d) consecutive interior angles are supplementary
*The converses are true, also
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<1
<4 <8<2 <5<3 <7
≅ <6
≅
≅
≅
corresponding angles
Transversal
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interior
exterior
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EXample
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Q
m < 3 =
m < 8 =
m < 4 =
m < 7 =
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40
60
50
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EXample
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y= 14
EXample
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58
18
18
14
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11 12
17 - 6
-6
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Converse of the
Corresponding
Angle Postulate
Converse of the
Alternate Interior
Angle Theorem
Converse of the
Alternate Exterior
Angle Theorem
Converse of the
Consecutive Interior
Angle Theorem
Theorem Hypothesis Conclusion
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