What is the formula for finding the midpoint of every side of a tetrahedron?

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Connecting the midpoints of each side of a tetrahedron results in a new interior tetrahedron. The discussion emphasizes the importance of providing proofs alongside answers, with participants encouraging each other to engage more deeply with the problem. There is some confusion regarding terminology, specifically whether the shapes in question are tetrahedrons or quadrilaterals, but the focus remains on tetrahedrons. Participants stress the necessity of individual effort in understanding and proving the concepts. Overall, the conversation highlights the collaborative nature of problem-solving in geometry.
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hi,evryone!
whats the result of connecting the middle of every sides of each common tetrahedron?
(please give proofs,actualy the proof is much more important than the answer)
1.squer:
2.rhornbus:
3.parallelogram:
.
.
.
(im sorry if there's in mistake in my writing)
thanks!
 
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Interior tetrahedron

I think it is other interior tetrahedron.
See deawing.
 

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You need to make an effort before someone will help you. Also, it will ensure you get help quicker if you state the exact question, as worded on your exercise sheet.
 
Behrooz said:
hi,evryone!
whats the result of connecting the middle of every sides of each common tetrahedron?
(please give proofs,actualy the proof is much more important than the answer)
1.squer:
2.rhornbus:
3.parallelogram:
.
.
.
(im sorry if there's in mistake in my writing)
thanks!
Even more important than the proof is YOU working on this yourself. What have YOU done?
 
I know the answer but not the proof

you r all right,friends!
but i don't know how to start i have drawn the shapes and i already know the answer i am thinking about the proof.
thanks everyone!
 

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Behrooz said:
of each common tetrahedron?
Er, did you mean quadrilateral?
 
No

Hurkyl said:
Er, did you mean quadrilateral?
No , its just an example!
(i found the answer)
 
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