3.2 Angles and Parallel Lines

1
3.2 Angles and Parallel Lines

• Assignment 22 3.2 WB Pg. 33 2 22 even

2
Corresponding Angles Postulate

• If two parallel lines are cut by a transversal,
  then corresponding angles are congruent.

t
C
A
l
G
E
m
B
D
F
H
3
Alternate Interior Angles Theorem

• If two parallel lines are cut by a transversal,
  then alternate interior angles are congruent.

t
l
B
A
m
C
D
4
Same Side/Consecutive Interior Angles Theorem

• If two parallel lines are cut by a transversal,
  then same-side interior angles are supplementary.

t
l
B
A
m
D
C
5
Alternate Exterior Angles Theorem

• If a transversal intersects two parallel lines,
  then alternate exterior angles are congruent.

t
l
A
B
m
C
D
6
Perpendicular Transversal Theorem

• In a plane, if a line is perpendicular to one of
  two parallel lines, then it is also perpendicular
  to the other.

 
 
7
Class Exercises 3.2

• Assume that a // b and c // d.
• 1. If then

a
b
c
1
2
3
4
8
7
6
5
9
10
11
12
d
15
16
14
13
8
Class Exercises 3.2

• Find the value of x and y.
• 2.

y
x
60
61
9
Class Exercises 3.2

• Find the value of x and y.
• 3.

120
x
(3y 6)