Angles and Transversals.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

Oct 4-10:15 PM

parallel planes: planes that do not intersect

Plane ABE Plane CHG

Angles and Transversals.notebook

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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

Oct 4-10:28 PM

Name all segments that are skew to TK.

Name all planes that are parallel to plane ABC.

Oct 4-10:48 PM

7.

Angles and Transversals.notebook

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Oct 4-11:11 PM

Transversal

Transversal: A line that intersects two or

more lines at different points.

Oct 4-11:15 PM

Angles and Transversals.notebook

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If two parallel lines are cut by a transversal,

then the two pairs of alternate exterior angles are congruent.

Oct 4-11:33 PM

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 4-11:17 PM

If two parallel lines are cut by a transversal,

then the two pairs of alternate exterior angles are congruent.

Angles and Transversals.notebook

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If two parallel lines are cut by a transversal,

then the two pairs of alternate exterior angles are congruent.

Oct 4-11:13 PM

Transversal

Oct 4-11:19 PM

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

Oct 7-8:00 PM

interior

exterior

Oct 7-9:28 PM

EXample

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Q

m < 3 =

m < 8 =

m < 4 =

m < 7 =

Nov 7-4:41 PM

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40

60

50

32

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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

Sep 6-2:26 PM

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Nov 7-3:06 PM

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