1. 3.2 Parallel Lines and Transversals …..
The Rules BABY!!!!!!

2. Corresponding Angles Postulate
If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. 1 4 3 2
1  2 & 3  4

3. Alternate Interior Angles
If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. 1 2 4 3
1  2 & 3  4

4. Consecutive Interior Angles
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary. 5 6 7 8
m5 + m6 = 180° & m7 + m8 = 180°

5. Alternate Exterior Angles
If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent. 9 10 11 12
9  10 & 11  12

6. Perpendicular Transversal
If a transversal is  to one of the two parallel lines, then it is  to the other. j h k
j  k

7. EXAMPLES 1
Solve for x 3x 60

8. EXAMPLES 2
Solve for x
2x + 90
x + 30

9. EXAMPLES 3
Solve for x 40
x - 3

10. EXAMPLES 4
Solve for x and y y
106 2x

11. 3.2 Worksheet