MATH-UA 121 Lecture 11: Parallel Theorems

• School: New York University
• Department: Math
• Course: MATH-UA 121
• Professor: Niu Xiaodong

Document Summary

If two parallel lines are cut by a transversal, then the corresponding angles are equal. If two parallel lines are cut by a transversal, then alternate interior angles are equal. If two parallel lines are cut by a transversal, then alternate exterior angles are equal. If two parallel lines are cut by a transversal, then consecutive interior angles are supplementary. If two parallel lines are cut by a transversal, then consecutive exterior angles are supplementary. If two parallel lines are cut by a transversal, then every pair of angles formed are either equal or supplementary. If the transversal is perpendicular to one of two parallel lines, then it is also perpendicular to the other line. If two lines and a transversal form equal corresponding angles, then the lines are parallel. If two lines and a transversal for equal alternate interior angles, then the lines are parallel.