today's daily dose of math is part
two in the series what is a square
anyway in part one we talked about
the basic facts about a square
and we looked at the definition of a
square but now in part two
we're asking the question is a square
also a rectangle
and is a rectangle also a square
well the answer is going to be yes and
no
let's look at the definition of a square
first
a square is a quadrilateral that has
four congruent sides and at least one
internal 90 degree angle we can see in
this diagram of a square
that the four sides are congruent as
shown with these little lines
and that it in fact has four internal 90
degree angles
as shown with these little squares on
the corners
now is a rectangle a square
a rectangle has the four internal 90
degree angles
but it doesn't necessarily have four
congruent sides
instead it has two pairs of congruent
sides now let's look at the definition
of a rectangle
a rectangle is a quadrilateral that has
two pairs of opposite congruent sides
and at least one internal 90 degree
angle
very similar to the square but it
doesn't have to have four congruent
sides
the four sides have to be broken down
into two pairs of sides that are
opposite
and that are the same length
therefore a rectangle is not necessarily
a square
because it doesn't necessarily have to
have four congruent sides
a square though is a rectangle because a
square has
the at least one internal 90 degree
angle
and yes you can say it has two pairs of
opposite congruent sides
even though all four sides are congruent
we can still say that it has two pairs
of opposite congruent sides
so the answer to today's question is a
square a rectangle
is yes and is a rectangle a square
usually no
this is part two of what is a square
anyway
today's daily dose of math please like
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