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Honors Geometry: Section 3.3 part 2 Parallel Lines Two lines are parallel iff they are coplanar and do not intersect. To indicate that AB is parallel to CD AB // CD we write _______ Arrowheads are use to indicate parallel lines in a figure. Noncoplanar lines which do not intersect are called skew. Postulate 3.3.2 Corresponding Angles Postulate (CAP) If two parallel lines are cut by a transversal, then corresponding angles are congruent. Theorem 3.3.3 Alternate Interior Angles Theorem (AIAT) If two parallel lines are cut by a transversal, then alternate interior angles are congruent. 1) ) 1) Given Theorem 3.3.4 Alternate Exterior Angles Theorem (AEAT) If two parallel lines are cut by a transversal, then alternate exterior angles are congruent. Theorem 3.3.5 Same-Side Interior Angles Theorem (SSIAT) If two parallel lines are cut by a transversal, then same-side interior angles are supplementary. 1. 1. Given ) m3 m5 180 ) ) ) Def. of Supp. Examples: Find the value of the variable in each problem. 3 x 5 7 x 11 16 4 x 4x Examples: Find the value of the variable in each problem. 3 y 5 7 y 11 180 10 y 6 180 10 y 186 y 18.6 Examples: Find the value of the variable in each problem. 5w 8 3w 6 180 8w 14 180 8w 166 w 20.75