Parallel Lines and Transversals
1 2
5 6
13
9 10
14
3 4
7 8
11 12
15 16
Let m1 = 115 and m12 = 110
1. m9 = ______
5. m4 = ______
2. m10 = ______
6. m11 = ______
3. m8 = ______
7. m5 = ______
4. m3 = ______
8. m14 = ______
Refer to the above figure and identify the special angle pair name.
9) 7 and 2 ______________________________________________________
10) 6 and 14 _____________________________________________________
11) 13 and 12 ____________________________________________________
12) 7 and 11 ____________________________________________________
13) 4 and 8 _____________________________________________________
If two parallel lines are cut by a transversal, then the pairs of
corresponding angles are congruent.
Corresponding Angles
If two lines are cut by a transversal and the corresponding
angles are congruent, the lines are parallel.
Converse
Alternate Interior Angles If two parallel lines are cut by a transversal, then the alternate
interior angles are congruent.
If two parallel lines are cut by a transversal, then the alternate
Alternate Exterior Angles exterior angles are congruent.
If two parallel lines are cut by a transversal, the interior angles
Interiors on Same Side
on the same side of the transversal are supplementary.
Alternate Interior Angles If two lines are cut by a transversal and the alternate interior
angles are congruent, the lines are parallel.
Converse
Alternate Exterior Angles If two lines are cut by a transversal and the alternate exterior
angles are congruent, the lines are parallel.
Converse
If two lines are cut by a transversal and the interior angles on
Interiors on Same Side
the same side of the transversal are supplementary, the lines are
Converse
parallel.
Corresponding Angles