Proving Theorems About Lines and Angles

coplanar lines that do not intersect

• parallel lines

• parallel planes

• skew lines

• transversal

planes that do not intersect

• parallel planes

• alternate interior angles

• same side interior angles

• corresponding angles

noncoplanar, they are not parallel and do not intersect

• skew lines

• adjacent angles

• transversal

• same side interior angles

a line that intersects two or more lines

• transversal

• corresponding angles

• alternate exterior angles

• adjacent angles

alternate interior angles

• nonadjacent interior angles that lie on opposite sides of the transversal

• lie on the same side of the transversal and in corresponding positions

same side interior angles

• two interior angles on the same side of the transversal

• non adjacent exterior angles that lie on opposite sides of the transversal

non adjacent exterior angles that lie on opposite sides of the transversal

• alternate exterior angles

• adjacent angles

• corresponding angles

• alternate interior angles

non adjacent exterior angles that lie on opposite sides of the transversal

• alternate exterior angles

• adjacent angles

• corresponding angles

• same side interior angles

adjacent angles

• alternate exterior angles

• corresponding angles

• two coplanar angles that have a common and a common vertex but no common interior points

• coplanar lines that do not intersect