3.7 and 3.9 Flashcards: Theorems and Postulates

Front

Corresponding Angles Theorem

Back

If two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent.

Front

Alternate Interior Angles Theorem

Back

If two parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent.

Front

Consecutive Interior Angles Theorem

Back

If two parallel lines are cut by a transversal, then each pair of consecutive interior angles is supplementary.

Front

Alternate Exterior Angles Theorem

Back

If two parallel lines are cut by a transversal, then each pair of alternate exterior angles is congruent.

Front

Perpendicular Transversal Theorem

Back

In a plane, if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.

Front

Converse of Corresponding Angles Theorem

Back

If two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel.

Front

Alternate Exterior Angles Converse

Back

If two lines in a plane are cut by a transversal so that a pair of alternate exterior angles is congruent, then the two lines are parallel.

Front

Consecutive Interior Angles Converse

Back

If two lines in a plane are cut by a transversal so that a pair of consecutive interior angles is supplementary, then the lines are parallel.

Front

Alternate Interior Angles Converse

Back

If two lines in a plane are cut by a transversal so that a pair of alternate interior angles is congruent, then the lines are parallel.

Front

Perpendicular Transversal Converse

Back

In a plane, if two lines are perpendicular to the same line, then the lines are parallel.