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Angles and Transversals(revised).notebook
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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
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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
Oct 4-10:28 PM
Name all segments that are skew to TK.
Name all planes that are parallel to plane ABC.
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7.
Oct 4-11:24 PM
Oct 4-11:11 PM
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.*
Oct 4-11:17 PM
*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
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
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a.) <7 & < 11: corresponding
c.) <7 and <12: corresponding
f.) <2 and <12: alternate exterior
Oct 4-11:22 PM
c.) <8 and <12: corresponding
d.) <1 and <5: corresponding
Oct 6-8:12 AM
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(d) consecutive interior angles are supplementary
*The converses are true, also
Sep 24-7:27 PM
<1
<4 <8<2 <5<3 <7
≅ <6
≅
≅
≅
corresponding angles
Transversal
![Page 8: Angles and Transversals(revised) · 2014. 11. 8. · Angles and Transversals(revised).notebook 5 October 09, 2014 Oct 4-11:33 PM *If two parallel lines are cut by a transversal, then](https://reader036.vdocument.in/reader036/viewer/2022071102/5fdb100b3e926604c216728a/html5/thumbnails/8.jpg)
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interior
exterior
Oct 7-9:28 PM
EXample
Nov 7-3:14 PM
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Angles and Transversals(revised).notebook
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Q
m < 3 =
m < 8 =
m < 4 =
m < 7 =
Nov 7-4:41 PM
Oct 18-2:00 PM
40
60
50
32
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EXample
Sep 24-7:37 PM
y= 14
EXample
Oct 7-7:42 PM
58
18
18
14
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11 12
17 - 6
-6
Oct 7-8:19 PM
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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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Nov 7-3:06 PM
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