Alison- A square can be a rectangle, but a rectangle can NOT be a square.
David- A square is a rectangle, and sometimes a rectangle is a square.
My reasoning is that a square will always be considered a rectangle, because a rectangle need to have all four corners 90 degrees and the opposite sides need to be parallel. So we agree on that.
What we don't agree on is if it is possible for a rectangle to be a square. I say that it is possible. Alison says that it isn't. My reasoning is since squares are rectangles, you know that some rectangles can be squares -- namely, the squares are.
(I got that from this website -- It explains it really well)
Also, I can see why Alison thinks that rectangles can't be squares. I believe she thinks that squares and rectangles are two different things. Here:
So as you can see, fig 1. is a square and fig 2. is a rectangle. But fig 1. is also a rectangle. It is both a square and a rectangle. So, if we were to refer to fig 1, we could say a rectangle can indeed be a square.
Thank you.
4 comments:
whatever.
copy-cat. i win. you owe me $5
iriti
and then you won five dollars?
WAIT! I DIDN'T KNOW YOU HAD A BLOG UNTIL THIS MORNING!
Also, I recently found five dollars. I am not even kidding. And it was awesome.
I don't know if you already lost your $5 or if you'll ever find this comment...but you're right. (I'm Katie's sister by the way.) But as a former math teacher...you are right. A square IS ALWAYS a rectangle. A rectangle will SOMETIMES be a square. Sides of different lengths is not part of the definition of a rectangle.
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