63. Squares

Dear readers,

You might think this one is a no-brainer. Squares are rectangles. But a lot of people have trouble remembering this simple rule:

Squares are always rectangles

BUT

Rectangles are not always squares.

So, let’s start from the beginning.

What is a rectangle?

A rectangle is a quadrilateral, which means it has four sides.

:four sides - first step to being a rectangle:

But beware! Not all quadrilaterals are rectangles.

:not a rectangle or a square:

A rectangle is a parallelogram, which means it’s made up of two pairs of parallel lines.

:two pairs of parallel sides - step two to being a rectangle:

But once again, you can be tricked here – since not all parallelograms are rectangles!

:not a rectangle:

A rectangle also has four, and only four, 90 degree angles.

:rectangle!:

And that’s it!

A square has all of those things:

Four sides

Parallel lines

90 degree angles

BUT

To be a square, all four sides must be the same length.

:square - it fits all requirements to be a rectangle, plus extra bonus criteria:

Therefore,

A square is always a rectangle

BUT

A rectangle is not always a square.

Lesson learned.

December 1, 2009. Rectangles.

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