Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Trapezoid definition
Replies: 26   Last Post: Oct 7, 2004 11:51 PM

 Messages: [ Previous | Next ]
 John Conway Posts: 2,238 Registered: 12/3/04
Re: Is a rectangle a square?
Posted: Oct 28, 2003 4:57 PM

On Tue, 28 Oct 2003, Walter Whiteley wrote:

> This is a 'standard' difficulty, and some elementary math
> texts get this tangled up.
>
> The way mathematicians work, think, and use these words,
> we are 'inclusive'. So something with four Equal sides
> DOES have two pairs of opposite sides equal.
> That means is also a rectangle.

Quite right! But let me point out that what this
shows is that it's sensible to define "rectangle" so
that it includes "square".

However, the question asked "is a rectangle a square?"

The correct answer to this is "not always". For example,
a 2 x 1 rectangle certainly isn't a square, while a 1 x 1
one is.

John Conway

Date Subject Author
8/7/00 John Benson
8/8/00 John Conway
8/8/00 Floor van Lamoen
8/8/00 John Conway
8/9/00 Floor van Lamoen
8/9/00 mary krimmel
8/9/00 Lee Rudolph
10/17/02 Julio Albornoz
10/18/02 Walter Whiteley
10/18/02 G.E. Ivey
10/28/03 Pamela Paramour
10/28/03 Walter Whiteley
10/28/03 John Conway
10/29/03 Mary Krimmel
10/29/03 John Conway
10/30/03 Rick Nungester
9/28/04 Kit
9/28/04 David W. Cantrell
9/28/04 NealAgMan@nyc.rr.com
9/28/04 Mary Krimmel
10/7/04 Donna W.
10/7/04 Donna W.
10/23/02 Ken.Pledger@vuw.ac.nz
10/25/02 Pat ballew
8/9/00 Jon Marshall
8/9/00 Floor van Lamoen
8/10/00 John Conway