Question 5 (1 point) (04.02 MC) Quadrilateral WXYZ 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 \( X Y \) and WZ are related? a They have slopes that are opposite reciprocals of 1 and -1 and are, therefore, perpendicular. d They have the same slope of 1 and are, therefore, parallel. They have the same slope of -1 and are, therefore, parallel. Thare opposite reciprocals of 0 and undefined and are, therefore, perpendicular.

When assessing the lines \( x - y = -3 \) and \( x - y = 1 \), you can rewrite them in slope-intercept form, \( y = mx + b \). For both lines, you’ll find that they have a slope of 1. Because they share the same slope, it proves that segments \( XY \) and \( WZ \) are parallel—never intersecting, just like two well-behaved train tracks! A common mistake is mistaking the slopes as being opposite reciprocals. When two lines have slopes that are equal, like in this case, they are parallel; however, lines with slopes that are true opposites, like 1 and -1, are perpendicular, meaning they intersect at a right angle. So, keep those definitions straight as you tackle more geometry problems!