Corresponding Angles X and Y: True or False Analysis with Parallel Lines

To determine if angles X and Y are corresponding angles, we need to consider the geometry involved.

Given that lines AB and CD are parallel, a transversal (a third line intersecting both AB and CD) creates multiple angles at the intersection points.

Corresponding angles are angles that are in the same relative position at each intersection where a straight line crosses two others. In other words, corresponding angles are matching angles that appear in similar locations relative to their parallel lines and the transversal.

In the problem's context, we look for angles X and Y, and analyze their relative positioning. By inspecting their placement:

• Identify the transversal which intersects both parallel lines AB and CD, creating angles at each intersection with these lines.
• Locate angle X created at the intersection of the transversal with line AB, and angle Y formed at the intersection of the transversal with line CD.
• By observation, angles X and Y are in the same relative position concerning the parallel lines and the transversal, hence they are corresponding angles.

By the Corresponding Angles Postulate, since AB || CD, angles X and Y must be equal, confirming they are indeed corresponding.

Thus, the statement that X and Y are corresponding angles is True.