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