John used AABC to write a proof of the Centroid Theorem. He began by drawing medians AK and CL,

intersecting at Z. Next he drew midsegments LM and NP, both parallel to median AK.

Given: AABC with medians AK and CL, and midsegments LM and NP.

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Prove: Z is located of the distance from each vertex of AABC to the midpoint of the opposite side.

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