CHAPTER 3 3-1 lines and angles. Problem of the day.
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Transcript of CHAPTER 3 3-1 lines and angles. Problem of the day.
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
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 nalt. int s
C. 4 and 6
transversal malt. 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