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

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Homework Help Overview

The discussion revolves around finding the midpoint of every side of a tetrahedron and the implications of connecting these midpoints. Participants express a desire for proofs rather than just answers, indicating a focus on understanding the underlying concepts.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to clarify the nature of the problem, with some questioning whether the original poster meant to refer to quadrilaterals instead of tetrahedrons. Others express uncertainty about how to begin proving their ideas.

Discussion Status

The discussion is ongoing, with participants sharing their thoughts and seeking clarification. Some have indicated they know the answer but are struggling with the proof, while others emphasize the importance of individual effort in understanding the problem.

Contextual Notes

There are indications of confusion regarding the terminology used, particularly whether the discussion pertains to tetrahedrons or quadrilaterals. Participants are also encouraged to provide more specific questions to facilitate assistance.

Behrooz
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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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