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Angles and Transversals(revised).notebook
1
October 09, 2014
Aug 29-2:11 PM
Oct 4-9:01 PM
Parallel Lines, Angles, and Transversals
parallel lines: two lines in the same plane (coplanar)
that never meet
DVD shelf
Roads
Aug 29-2:19 PM
Angles and Transversals(revised).notebook
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parallel planes: planes that do not intersect
Plane ABE Plane CHG
Oct 4-10:48 PM
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.
Angles and Transversals(revised).notebook
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7.
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Oct 4-11:11 PM
Transversal
Transversal: A line that intersects two or
more lines at different points.
Angles and Transversals(revised).notebook
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Oct 4-11:17 PM
*If two parallel lines are cut by a transversal, then the two pairs of
alternate exterior angles are congruent.*
Oct 4-11:17 PM
*If two parallel lines are cut by a transversal, then the
two pairs of alternate exterior angles are congruent.*
Angles and Transversals(revised).notebook
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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
Oct 4-11:18 PM
*If two parallel lines are cut by a transversal, then the
two pairs of alternate exterior angles are congruent.*
Oct 4-11:13 PM
Transversal
Angles and Transversals(revised).notebook
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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
Oct 6-8:12 AM
Angles and Transversals(revised).notebook
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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
Angles and Transversals(revised).notebook
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interior
exterior
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EXample
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Angles and Transversals(revised).notebook
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Q
m < 3 =
m < 8 =
m < 4 =
m < 7 =
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Oct 18-2:00 PM
40
60
50
32
Angles and Transversals(revised).notebook
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EXample
Sep 24-7:37 PM
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
Angles and Transversals(revised).notebook
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Sep 6-2:36 PM
Nov 7-3:06 PM
Angles and Transversals(revised).notebook
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Sep 6-2:38 PM
Sep 6-2:37 PM
Sep 6-2:33 PM
Angles and Transversals(revised).notebook
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