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Find the slopes of both segments. If they are parallel, the slopes will be the same.
@Mertsj explanation please ?
Whenever you have a segment in a graph which is not a curve (meaning it's a straight line), you can write it as a linear function: y= ax+b. The "a" in the equation is the slope, and by definition, two functions with the same slope are parallel. So, say you look at the segment AB (to begin with), you find the slope by taking your points A and B (which are discribe in the question), and you plug them into the equation: a=(y2-y1)/(x2-x1) such that your couples are (x1,y1) and (x2,y2). You do the same for the segment DE, and you should get the same a then the segment AB.
@Firefly53 Sorry I don't get it
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