Angle Relationship theorems
Alternate Exterior Angles Converse Theorem
If two lines are cut by a transversal so that alternate exterior angles are congruent, then the lines are parallel.
Consecutive Interior Angles Theorem
If two lines are cut by a transversal so that consecutive interior angles are supplementary, then the lines are parallel
Converse of the Corresponding Angles Postulate
If two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel.
Consecutive Exterior Angles Converse Theorem
If two lines are cut by a transversal so that each pair of consecutive exterior angles are supplementary, then the lines are parallel
Alternate Interior Angles Converse Theorem
If two lines are cut by a transversal so the alternate interior angles are congruent, then the lines are parallel.
Alternate Interior Angles Theorem
If two lines are parallel, then each pair of alternate interior angles are congruent
Alternate Exterior Angles Theorem
If two parallel lines are cut by a transversal, then each pair of alternate exterior angles are congruent
Consecutive Exterior Angles Theorem
If two parallel lines are cut by a transversal, then each pair of consecutive exterior angles are supplementary
Consecutive Interior Angles Theorem
If two parallel lines are cut by a transversal, then each pair of consecutive interior angles are supplementary.
Corresponding Angles Postulate
If two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent.