Parallel Lines and Transversals Sec 12 1-A pg. 679
Definitions Parallel Lines – lines that do not intersect. l h
Definitions a is the r s a Transversal – a line that intersects two or more lines in a plane at different points a a is the transversal to r and s r s
Transversals and Angles Exterior Angles Interior Angles 1, 2, 7, 8 3, 4, 5, 6 a 1 2 r 4 3 5 6 8 7 s
Transversals and Angles Alternate Exterior Angles Alternate Exterior Angles are Congruent with parallel lines. 1 and 7, 2 and 8. a 1 2 r 8 7 s
Transversals and Angles Alternate Interior Angles Corresponding Angles These angles are congruent with parallel lines. 3 and 5, 4 and 6. 1 and 5, 2 and 6 3 and 7, 4 and 8. a 1 2 4 r 3 5 6 8 7 s
Identify the angles for transversal a a b c Corresponding Angles 1 and 3, 7 and 5 11 and 10, 2 and 9 a Exterior Angles Interior Angles 1, 7, 9, 10 1 2, 3, 5, 11 7 Alternate Interior Angles 11 2 5 and 11, 2 and 3 b Alternate Exterior Angles 3 5 1 and 9, 7 and 10 9 10 Consecutive Interior Angles c 3 and 11, 2 and 5