How is a square and a rectangle alike and different
IS A SQUARE A RECTANGLE? YES OR NO?
[Music]
hello hello everyone and thank you so
much I'm so excited that you're joining
me on this lesson where we get to
explore the question is ask we're also a
rectangle so let's tackle this problem
using an analogy and we'll start out
with the definition of a cookie which is
defined as a small baked treat typically
round flat and crisp and this definition
certainly applies to the oreo cookie
which happens to be one of my favorites
oh yeah so now I want you to think about
the question is every cookie in Oreo and
our answer of course is no we should
know that there are many different kinds
of cookies that satisfied our definition
including sugar cookies chocolate chip
cookies Girl Scout cookies and
gingerbread cookies so we can conclude
that in Oreo is a special kind of cookie
and that every Oreo is a cookie but not
every cookie is an Oreo so believe it or
not we just engaged in mathematical
reasoning and now we're going to take
that same kind of thinking and apply it
to our original question is a square a
rectangle so let's go ahead and start
off with the definition of a rectangle
which is a four-sided figure with four
right angles and again we want to see if
a square will satisfy this definition
and allow us to answer the question is
every square a rectangle now we are all
familiar with squares and rectangles and
we can easily draw four-sided figures
with four right angles that would be
considered rectangles and satisfy our
definition I'm sure that you can also
identify four-sided figures that are not
rectangles namely a parallelogram or a
trapezoid because they do not have four
right angles
now remember since the square satisfied
the definition of a rectangle we can say
that a square is a special kind of
rectangle and what makes it special is
not the fact that it has four right
angles but the fact that it has four
equal sides so all the sides are
congruent so if you knew that one side
of a square was five you would know that
all the sides must be five so we can
conclude that every square is a
rectangle but not every rectangle is a
square so when you're asking yourself
this question and you have a figure like
the one shown if it has four right
angles and four sides then you can
conclude that the figure is a rectangle
and if those four sides are all the same
length then you can also conclude that
the figure is a square remember that a
square is a special kind of a rectangle
but also remember that not every
rectangle is a square if we extend our
figure and double the length from five
to ten it still represents a rectangle
but this is not a square again because
the side lengths are not the same and
that is it for this lesson thank you so
much for joining us here at mashup math
we definitely teach things a little bit
more creatively and from a different
perspective we like to be colorful and
fun so we hope that you enjoyed it and
we hope that we got you thinking about
this topic in a different way and we
will catch all of you next time please
stop again soon and have a good one see
ya oh yeah
all right everyone that was it for that
lesson thank you again for stopping by
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