Welcome to free online math help,
One thing you're learning together is why mathematicians have to
define all their terms before they can state, and especially prove,
conjectures. If you can all agree on some definition of "opposite,"
that would work fine for your purposes. I don't see anything wrong
with my definition, free math; though it's probably one of those things that we
tend to assume we all understand.
Certainly your definition that
opposite means parallel makes your whole conjecture circular, and to
count a pentagon as fitting your definition when by your definition
any sides that aren't parallel simply don't have opposites seems
really odd.
more examples on math forum.
One thing you're learning together is why mathematicians have to
define all their terms before they can state, and especially prove,
conjectures. If you can all agree on some definition of "opposite,"
that would work fine for your purposes. I don't see anything wrong
with my definition, free math; though it's probably one of those things that we
tend to assume we all understand.
Certainly your definition that
opposite means parallel makes your whole conjecture circular, and to
count a pentagon as fitting your definition when by your definition
any sides that aren't parallel simply don't have opposites seems
really odd.
more examples on math forum.
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