Chapter 3 3-1 lines and angles
Problem of the day
Objectives Identify parallel, perpendicular, and skew lines. Identify the angles formed by two lines and a transversal.
Lines What kind of different lines you know? What are parallel lines ? Solution: Lines that go next to each other and they will never intersect . Examples are? What are perpendicular lines ? Solution: Lines that intersect and form a 90 degree angle. Example are?
Lines What are skew lines? Solution: A re lines that are not parallel and do not intersect. Examples?
Example#1 Identify each of the following. A. a pair of parallel segments LM ||QR B. a pair of skew segments KN and PQ C. a pair of perpendicular segments NS SP a pair of parallel planes plane NMR || plane KLQ
Student guided practice Identify each of the following. a pair of parallel segments BF || EJ a pair of skew segments BF and DE are skew. a pair of perpendicular segments BF FJ
Example#2 C. alternate exterior angles Give an example of each angle pair. corresponding angles 1 and 5 alternate interior angles 3 and 5 C. alternate exterior angles 1 and 7 same-side interior angles 3 and 6
Student guided practice Give an example of each angle pair. corresponding angles 1 and 3 alternate interior angles 2 and 7 alternate exterior angles 1 and 8
Transversal lines What is a transversal line? Solution: Is a line that intersects two coplanar lines at two different points How can you identify a transversal line? Solution: To determine which line is the transversal for a given angle pair, locate the line that connects the vertices.
Example#3 Identify the transversal and classify each angle pair. A. 1 and 3 transversal l corr. s B. 2 and 6 transversal n alt. int s C. 4 and 6 transversal m alt. ext s
Student guided practice Identify the transversal and classify the angle pair 2 and 5 in the diagram.
Homework!! Go to page 148 in your book and di problems 2-12
Closure Today we learn about lines and the different pair of angles in a transversal Next class we are going to see chapter 3-2