Welcome to help with math problems,
Polygons that are created entirely of pairs of parallel opposite
sides, so we called it a Calligram (in honor of her name). I wrote the
following definition of a Calligram: "a polygon whose opposite sides
are parallel. free math; " Then I asked the students whether the following would
be properties of all Calligrams:
1) They must have an even number of sides.
2) The measure of the exterior angles is always even.
3) They are convex.
Properties (2) and (3) are obviously false, but property (1) gave rise
to the question; "what about a pentagon with two right angles?" If the
two parallel sides count as 'opposite', then all the opposite sides
are parallel, and the remaining three sides don't count as opposites
(I would then have to reword my definition). I cannot get a formal
definition for "opposite," however.
help with math, If it means parallel sides, then
that would give rise to the situation where a trapezoid has only one
pair of opposite sides. By your definition, you could get some pretty
mean looking concave polygons with two sides called 'opposite' even
though they could be contained on the same line. Everyone knows that
"opposite sides of a parallelogram are congruent" for instance, but
again, I do not have a formal definition of 'opposite'.
Polygons that are created entirely of pairs of parallel opposite
sides, so we called it a Calligram (in honor of her name). I wrote the
following definition of a Calligram: "a polygon whose opposite sides
are parallel. free math; " Then I asked the students whether the following would
be properties of all Calligrams:
1) They must have an even number of sides.
2) The measure of the exterior angles is always even.
3) They are convex.
Properties (2) and (3) are obviously false, but property (1) gave rise
to the question; "what about a pentagon with two right angles?" If the
two parallel sides count as 'opposite', then all the opposite sides
are parallel, and the remaining three sides don't count as opposites
(I would then have to reword my definition). I cannot get a formal
definition for "opposite," however.
help with math, If it means parallel sides, then
that would give rise to the situation where a trapezoid has only one
pair of opposite sides. By your definition, you could get some pretty
mean looking concave polygons with two sides called 'opposite' even
though they could be contained on the same line. Everyone knows that
"opposite sides of a parallelogram are congruent" for instance, but
again, I do not have a formal definition of 'opposite'.
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