Angle pair relationships

Corresponding

Alternate Exterior

Alternate Interior

Angles that are inside parallel lines an don opposite sides of the transversal

If the lines are not parallel, alternate interior angles do not have any special properties and are not necessary congruent

Congruent when the line intersected by the transversal are parallel

Located on the inside of the the two parallel lines, but on opposite sides of the transversal

Only applies when a transversal intersects two lines

Consecutive Exterior

Angles that are outside parallel lines and on the same side of the transversal

Supplementary ( add up to 180 )

Only holds true when the transversal intersects two parallel lines

Consecutive refers to things that appear next to eachother

Consecutive interior

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

Both angles on the same side of the transversal and within the two parallel lines

The consecutive interior theorem states that if a transversal intersects two parallel lines, then the consecutive interior angles are supplementary

Not necessarily congruent

When the lines are parallel, the sum of the consecutive interior angles is always 180