Math CentralQuandaries & Queries


Subject: Homework
Name: Shelby
Who are you: Student

I am doing homework and I need to know why squares are rectangles but not all rectangles are squares?


Hi Shelby,

A rectangle is a quadrilateral with all four angles right angles.
From this you can prove that the opposite sides must be parallel and
of the same length. Hence the front of the drawer on my office is a
rectangle and so is the door into my office.

A square is a quadrilateral with all four angles right angles and all
four sides the same length. I got a CD in the mail yesterday and the
paper envelope it came in is a square.

A square is also a rectangle since it is a quadrilateral and all the
angles are right angles. A rectangle however need not be a square.
The door to my office is a rectangle but the height and width are
different so it is not a square.

I hope this helps,
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