1. Chapter 3
3-1 lines and angles

2. Problem of the day

3. Objectives Identify parallel, perpendicular, and skew lines.
Identify the angles formed by two lines and a transversal.

4. 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?

5. Lines What are skew lines?
Solution: A re lines that are not parallel and do not intersect.
Examples?

7. 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

8. 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

10. 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

11. 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

12. 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.

13. 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

14. Student guided practice
Identify the transversal and classify the angle pair 2 and 5 in the diagram.

15. Homework!!
Go to page 148 in your book and di problems 2-12

16. 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