Final answer:
The Perpendicular Transversal Theorem states that if a transversal intersects two parallel lines, then the alternate interior angles are congruent.
Step-by-step explanation:
The Perpendicular Transversal Theorem states that if a transversal intersects two parallel lines, then the alternate interior angles are congruent. In other words, if you have two lines that are parallel to each other and a third line, called the transversal, intersects both parallel lines, then the angles formed on opposite sides of the transversal and inside the parallel lines are equal.
For example, if lines AB and CD are parallel and line EF is a transversal intersecting AB and CD, then angle AEF is congruent to angle CEF, and angle BEF is congruent to angle DEF.