ABCD
This shape is a parallelogram because none of the points intersect with the opposite side.
A to B is a Horizontal line. so that means D and C are also horizontal.
A, B and C, D will never intersect because they are a straight line.
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ABEC
ABEC is a parallelogram because there are two opposite sides that will never intersect.
A to B is a horizontal line. Also, E, C is another horizontal line and since they are on opposite sides they can never touch!
Hope this helps!
(Mark brainliest if I’m correct!)