Answer:
By applying the slope formula , I find that the slope of segment DE is zero since the difference between the y coordinates of points D and E is zero and any number divided into zero is zero. The slope of segment AB is also zero because (0-0) /(x2-0) =0 Because the two segments have the same slope they must be parallel according to the definition of parallel lines.
Explanation:
slope formula = (y2-y1)/(x2-x1)
slope for DE = (y1/2-y1/2)/((x1+x2/2 - x1/2)
= 0 /(x2/2)
= 0
slope for AB = (0-0)/((x1+x2/2 - x1/2)
= 0 /(x2-0)
= 0/x2
=0
Parallel lines have the same slope