Lines Cut by a Transversal

Vocabulary

• analyze: to examine; to study very carefully and in detail

• justify: to defend; to show to be correct

• transformation: an operation on a figure that may change its orientation, shape, or location in a plane

• transversal: a line intersecting two or more coplanar lines at different points

• Corresponding angles theorem: If a transversal intersects two parallel lines, then the resulting corresponding angles are congruent

• Alternate exterior angles theorem: If a transversal intersects two parallel lines, then the resulting alternate exterior angles are congruent

• Alternate interior angles theorem: If a transversal intersects two parallel lines, then the resulting alternate interior angles are congruent.

• Same side interior angles theorem: If a transversal intersects two parallel lines, then the resulting same side interior angles are supplementary

Angles

Corresponding

• Congruent

Alternate interior

• Congruent

Alternate exterior

• Congruent

Same side interior

• Supplementary