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31 votes
31 votes
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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User Erik Pedersen
by
2.4k points

1 Answer

24 votes
24 votes

Answer:

Hello your question is poorly written attached below is the complete question

answer : attached below

Explanation:

To Prove: Z is located 2/3 of the distance from each vertex of ΔABC to the midpoint of the opposite side. we will apply ; property of bisecting a line , equality theorem , transitive property and similarity theorem

Attached below is the proof

John used AABC to write a proof of the Centroid Theorem. He began by drawing medians-example-1
John used AABC to write a proof of the Centroid Theorem. He began by drawing medians-example-2
User Soumalya Banerjee
by
2.3k points