Data Sufficiency (DS) | Re: AB is perpendicular to CO. Is A or B closer to C?

Answer A.

St1, OA<OB
I viewed this problem as two triangles ACO and BCO. If leg OA is smaller than OB and they share a side in CO, a smaller OA will produce a smaller hypotenuse. Therefore point A is closer to C. Sufficient.

St2, ABCD is a parallelogram
Honestly, I have no idea what to do wit this information and assumed it was useless.

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