Wednesday, September 5, 2012 BUT BUT Homework: p. 128 #16-33 mentally; 34-43 writing Homework: p. 128 #16-33 mentally; 34-43 writing.

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Presentation transcript:

Wednesday, September 5, 2012 BUT BUT Homework: p. 128 #16-33 mentally; writing Homework: p. 128 #16-33 mentally; writing

§3.1 Parallel Lines & Transversals Parallel lines ◦T◦Two lines are parallel if and only if they are coplanar and never intersect. Skew Lines ◦T◦Two lines are skew if and only if they are NOT coplanar and never intersect Parallel planes ◦T◦Two planes are parallel if and only if they never intersect

Name… All pairs of parallel planes. All pairs of skew lines. B A C D E F

More Definitions Transversals ◦A line that intersects two or more coplanar lines Corresponding Angles ◦Two angles that occupy corresponding positions Alternate Exterior Angles ◦Two angles that lie outside the two lines on opposite sides of a transversal Alternate Interior Angles ◦Two angles that lie between the two lines on opposite sides of a transversal Consecutive Interior Angles ◦Two angles that lie between the two lines on the same side of a transversal (Also called: Same Side Interior Angles)

What does all that mean? transversal Corresponding angles Alternate Exterior Angles Alternate Interior Angles Consecutive Interior (or Same Side Interior) Angles

Check Points List all pairs of angles that fit the description. a. Corresponding b. Alternate exterior c. Alternate interior d. Consecutive interior

Practice State the transversal that forms each pair of angles. Then identify the special name for the angle pair. Consecutive Interior CorrespondingAlternate Exterior Alternate InteriorNo relationship

Homework Homework: p. 128 #16-33 mentally; writing