3.5 Properties of Parallel Lines Flashcards
corresponding angles
two angles are corresponding angles if they occupy corresponding positions
transversal
a line that intersects two or more coplanar lines at different points
alternate interior angles
two angles are alternate interior angles if they lie between 1 and m on opposite sides of t
alternate exterior angles
two angles are alternate exterior angles if they lie outside 1 and m on opposite sides or t
consecutive interior angles
two angles are consecutive interior angles if they lie between l and m on the same side of t
Corresponding Angles Postulate
if two parallel lines are cut by a transversal, then the paints of corresponding angles are congruent
Alternate Interior Angles Thm
if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent
Consecutive Interior Angles Thm
if two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary
Alternate Exterior Angles Thm
if two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent
Perpendicular Transversal Thm
if a transversal is perpendicular to one of the two parallel lines, then it is perpendicular to the second