honors geometry: section 3.3 part 2 parallel lines

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Honors Geometry: Section 3.3 part 2 Parallel Lines

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Honors Geometry: Section 3.3 part 2 Parallel Lines. Two lines are parallel iff they are coplanar and do not intersect. To indicate that is parallel to we write _______ Arrowheads are use to indicate parallel lines in a figure. - PowerPoint PPT Presentation

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Page 1: Honors Geometry: Section 3.3 part  2 Parallel Lines

Honors Geometry: Section 3.3 part 2

Parallel Lines

Page 2: Honors Geometry: Section 3.3 part  2 Parallel Lines

Two lines are parallel iff they are coplanar and do not intersect.

To indicate that is parallel to we write _______

Arrowheads are use toindicate parallel lines in a figure.

AB CDCDAB //

Page 3: Honors Geometry: Section 3.3 part  2 Parallel Lines

Noncoplanar lines which do not intersect are called skew.

Page 4: Honors Geometry: Section 3.3 part  2 Parallel Lines

Postulate 3.3.2Corresponding Angles Postulate

(CAP)

If two parallel lines are cut by a transversal, then corresponding

angles are congruent.

Page 5: Honors Geometry: Section 3.3 part  2 Parallel Lines

Theorem 3.3.3Alternate Interior Angles Theorem

(AIAT)

If two parallel lines are cut by a transversal, then alternate interior

angles are congruent.

Page 6: Honors Geometry: Section 3.3 part  2 Parallel Lines

1) 1) Given

)

Page 7: Honors Geometry: Section 3.3 part  2 Parallel Lines

Theorem 3.3.4Alternate Exterior Angles Theorem

(AEAT)

If two parallel lines are cut by a transversal, then alternate exterior

angles are congruent.

Page 8: Honors Geometry: Section 3.3 part  2 Parallel Lines

Theorem 3.3.5Same-Side Interior Angles Theorem

(SSIAT)

If two parallel lines are cut by a transversal, then same-side interior

angles are supplementary.

Page 9: Honors Geometry: Section 3.3 part  2 Parallel Lines

1. 1. Given

) )

) )

18053 mm

Supp. of Def.

Page 10: Honors Geometry: Section 3.3 part  2 Parallel Lines

Examples: Find the value of the variable in each problem.

x

x

xx

4

416

11753

Page 11: Honors Geometry: Section 3.3 part  2 Parallel Lines

Examples: Find the value of the variable in each problem.

6.18

18610

180610

18011753

y

y

y

yy

Page 12: Honors Geometry: Section 3.3 part  2 Parallel Lines

Examples: Find the value of the variable in each problem.

75.20

1668

180148

1806385

w

w

w

ww