Question

which of the following statements is true about parallel lines pq and rs?○ $a^\circ$ and $c^\circ$ are corresponding angles○ $a^\circ$ and $c^\circ$ are alternate exterior angles○ $a^\circ$ and $c^\circ$ are vertical angles○ $a^\circ$ and $c^\circ$ are alternate interior angles

Explanation:

Corresponding angles lie in matching positions relative to parallel lines and a transversal. Vertical angles are opposite each other at an intersection, alternate exterior angles are outside parallel lines on opposite sides of a transversal, and alternate interior angles are inside parallel lines on opposite sides of a transversal. For parallel lines pq and rs, \(a^\circ\) and \(c^\circ\) occupy matching positions with respect to the transversal, so they are corresponding angles.

Answer:

A. \(a^\circ\) and \(c^\circ\) are corresponding angles