Math Homework. Do It Faster, Learn It Better.

Corresponding Angles

The term corresponding angles is often used when two lines are cut by a third line, a transversal .

Two parallel lines cut by a transversal n, with angles labeled 1 through 8

In the figure above, line t is a transversal cutting lines k and l , and there are four pairs of corresponding angles:

1 and 5

2 and 6

3 and 7

4 and 8

The Corresponding Angles Postulate states that if k and l are parallel , then the pairs of corresponding angles are congruent . The converse of this theorem is also true.

The term corresponding angles is also sometimes used when making statements about similar or congruent polygons . For example, in the figure below featuring two similar pentagons, A and V are corresponding angles.

Two Similar Pentagons ABCDE and VWXYZ