Angle Relationships- Geometry

Two angles whose sum is 90 degrees.

Two lines are cut by a transversal, if the pairs of corresponding angles are congruent, then the two lines are parallel.

Two lines are cut by a transversal, if the pairs of alternate interior angles are congruent, then the two lines are parallel.

If two parallel lines are cut by a transversal, then the alternate interior angles are congruent.

If two parallel lines are cut by a transversal, then the alternate exterior angles are congruent.

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

Two lines are cut by a transversal, if the pairs of consecutive interior angles are supplementary, then the two lines are parallel.

Two lines are cut by a transversal, if the pairs of alternate exterior angles are congruent, then the two lines are parallel.

Vertical angles are congruent.

A pair of adjacent angles whose non-adjacent sides form opposite rays. (And these angles are also supplementary.)

Angles that are on the same side of the transversal and inside the two lines.

A pair of opposite congruent angles formed by intersecting lines.

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary.

If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other.

Angles that lie outside a pair of lines and on opposite sides of a transversal.

Angles that lie on the same side of the transversal and in corresponding positions.

If two angles form a linear pair, then they are supplementary.

Angles whose sum is 180 degrees.

Angles between two lines and on opposite sides of a transversal.

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