Download Lesson 3.3.notebook

Lesson 3.3.notebook
October 02, 2012
Lesson 3.3: Parallel Lines and Transversals
Transversal
a line that intersects 2 or more coplanar
lines at different points
2
1
3
4
6
5
7
8
Interior Angles: 3, 4, 5, 6
t
Exterior Angles: 1, 2, 7, 8
Perpendicular Transversal Postulate
If a transversal intersects two parallel lines and is perpendicular to one, then it is perpendicular to the other.
1
Lesson 3.3.notebook
October 02, 2012
Corresponding Angles
nonadjacent angles, one interior, one exterior, both on the same side of the transversal (CA)
2
1
3
4
6
5
8
7
1 & 6
4 & 8
2 & 5
3 & 7
t
Corresponding Angle Postulate
If two parallel lines are cut by a transversal, then the corresponding angles are congruent.
2
1 6
4 8
2 5
3 7
1
3
4
5 6
7 8
t
2
Lesson 3.3.notebook
October 02, 2012
Alternate Interior Angles
two nonadjacent interior angles on opposite sides of the transversal (AI)
2
1
3
4
5
6
4 & 5
3 & 6
8
7
t
Alternate Interior Angle Theorem
If two parallel lines are cut by a transversal, then the alternate interior angles are congruent.
4 5
3 6
2
1
3
4
5 6
7 8
t
3
Lesson 3.3.notebook
October 02, 2012
Alternate Exterior Angles
two nonadjacent exterior angles on opposite sides of the transversal (AE)
2
1
3
4
5
6
1 & 7
2 & 8
8
7
t
Alternate Exterior Angle Theorem
If two parallel lines are cut by a transversal, then the alternate exterior angles are congruent.
2
1
3
1 7
2 8
4
5 6
7 8
t
4
Lesson 3.3.notebook
October 02, 2012
Same Side Interior Angles
2
two interior angles on the same side of the transversal (SSI)
1
3
3 & 5
4 & 6
4
5
6
8
7
t
Same Side Interior Angle Theorem
If two parallel lines are cut by a transversal, then the same side interior angles are supplementary.
2
3 + 5 = 180
4 + 6 = 180
1
3
4
5 6
7 8
t
5
Lesson 3.3.notebook
October 02, 2012
Find all angles.
Given m 6 = 119 .
2
1
3
4
5 6
7 8
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Homework
p. 143­144
#16­28 All
6
Lesson 3.3.notebook
October 02, 2012
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