triangular pyramid problem

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figure this out:

For a pyramid with a triangular base, such that all triangles in the pyramid are congruent, a quadrilateral is formed with each side connecting the midpoints of a face (or base) of the pyramid. Each face(or base) contains only one side of the quadrilateral. What kind of quadrilateral is formed?

i'm stumped Rolling Eyes

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So you should be - the resulting shape would be an inverted congruent triangular pyramid. A quadrilateral is two dimensional. The shape created by what you describe is three dimensional. I'm pretty sure you can't create a three dimensional object with four straight lines.

Then again it is late.

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You can have a quadrilateral with vertices that are not in the same plane. They are called "skew quadrilaterals."

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Really? Are the sides straight? Never heard of them but it's not my area of expertise (hey, I'm a dilettante, I know almost nothing about lots of things)

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Me, too. I had to google it.

http://mathworld.wolfram.com/Quadrilateral.html

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triangular pyramid problem

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