Best Answer bonanova, 28 May 2013 - 05:21 AM

Go to the full postWhat about the other part of the conjecture that the area is half?

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Started by BMAD, May 27 2013 12:25 AM

Best Answer bonanova, 28 May 2013 - 05:21 AM

Go to the full postWhat about the other part of the conjecture that the area is half?

Spoiler for Looks like

Spoiler for Area proof

5 replies to this topic

Posted 27 May 2013 - 12:25 AM

Start with any general quadrilateral, and connect the midpoints of consecutive sides, making an inscribed quadrilateral as in the diagram. That inscribed quadrilateral, in the diagram, seems to be a parallelogram. Let me conjecture that this inscribed quadrilateral is a parallelogram with half the area of the original quadrilateral. Can you prove or disprove either part of my conjecture?

Posted 27 May 2013 - 03:12 PM

Spoiler for Looks like

*A leader's credentials do not hang on his wall. They are written by the lives of those he has led.*

Posted 27 May 2013 - 05:32 PM

What about the other part of the conjecture that the area is half?

Spoiler for Looks like

Posted 28 May 2013 - 05:21 AM Best Answer

What about the other part of the conjecture that the area is half?

Spoiler for Looks like

Spoiler for Area proof

*A leader's credentials do not hang on his wall. They are written by the lives of those he has led.*

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