Parallel Lines and Transversals . Angles and parallel lines.
Angles and Transversals...Angles and Transversals.notebook 3 October 15, 2013 If two parallel lines...
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Angles and Transversals.notebook 1 October 15, 2013 Name: Date: Notes: Questions: Topic: Proving Lines Parallel use angles formed by parallel lines and transversals are parallel? Parallel Lines, Angles, and Transversals parallel lines: two lines in the same plane (coplanar) that never meet DVD shelf Roads parallel planes: planes that do not intersect Plane ABE Plane CHG skew lines: two lines that are not in the same plane (noncoplanar), not parallel, and do NOT intersect AB and EG are skew lines
Transcript of Angles and Transversals...Angles and Transversals.notebook 3 October 15, 2013 If two parallel lines...
Angles and Transversals.notebook
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October 15, 2013
Name: Date:
Notes:Questions:
Topic: Proving Lines Parallel
use angles formed by parallel lines and transversals
are parallel?
Parallel Lines, Angles, and Transversals
parallel lines: two lines in the same plane (coplanar)
that never meet
DVD shelf
Roads
parallel planes: planes that do not intersect
Plane ABE Plane CHG
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.
7.
Transversal
Transversal: A line that intersects two or
more lines at different points.
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 degreesIf two parallel lines are cut by a transversal,
then the two pairs of alternate exterior angles are congruent.
If two parallel lines are cut by a transversal,
then the two pairs of alternate exterior angles are congruent.
Transversal
a.) <7 & < 11: corresponding
c.) <7 and <12: corresponding
f.) <2 and <12: alternate exterior
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
<1
<4 <8<2 <5<3 <7
≅ <6
≅
≅
≅
corresponding angles
Transversal
interior
exterior
EXample
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Q
m < 3 =
m < 8 =
m < 4 =
m < 7 =
40
60
50
32
EXample
y= 14
EXample
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58
18
18
14
11 12
17 - 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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