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Problem #PRU-57165

Problems Geometry Plane geometry Locus Loci with nonzero area

13–15 2.0

Let $O$ be the center of the rectangle $A B C D$ . Find the geometric points of $M$ for which $A M \geq O M, B M \geq O M$ , $C M \geq O M$ , and $D M \geq O M$ .