Question \( \mathbf{1 1} \) (Multiple Choice Worth 1 points) ( 0402 MC ) Quadrilateral \( W X Y Z \) is on a coordinate plane. Segment \( X Y \) is on the line \( x-y=-3 \), and segment \( W Z \) is on the line \( x-y=1 \). Which statement proves how segments XY and WZ are related? They have slopes that are opposite reciprocals of 1 and -1 and are, therefore, perpendicular. They have the same slope of 1 and are, therefore, parallel. They have slopes that are opposite reciprocals of 0 and undefined and are, therefore, perpendicular. They have the same slope of -1 and are, therefore, parallel.

The lines mentioned, \( x - y = -3 \) and \( x - y = 1 \), can be rewritten in slope-intercept form (y = mx + b). For \( x - y = -3 \), rearranging gives \( y = x + 3 \), indicating a slope of 1. For \( x - y = 1 \), rearranging gives \( y = x - 1 \), also with a slope of 1. Thus, since they share the same slope, the correct statement is that they are parallel. Both lines are indeed parallel as they have identical slopes. In the coordinate plane, parallel lines never meet, which means they run alongside each other indefinitely—perfect for creating a stable framework in architectural designs or geometric designs. Knowing how to identify slopes is a key skill in geometry!