MHB Prove Centroid Goes Through It

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The discussion centers on the necessity of proving that a line or shape must pass through its centroid. Participants express understanding of the concept but struggle with the mathematical proof required to substantiate it. One user indicates they have resolved their initial confusion but seeks assistance with a separate, related question. The conversation highlights a common challenge in geometry regarding centroids and their properties. Clarifying the proof of centroid properties remains a key focus.
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I can see how it would go through the centroid, but I don't know how to prove that it HAS to go through the centroid.
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slwarrior64 said:
I can see how it would go through the centroid, but I don't know how to prove that it HAS to go through the centroid.
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I figured it out but please help me with the other question I posted!
 
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