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Date: 2/2/96 at 11:58:28
From: Doug Hamm
Subject: Math / geometry / quadrilaterals

My daughter forgot her textbook and needs to know the 6 types
of quadrilaterals. I have searched various online resources
and found nothing.

```

```
Date: 3/8/96 at 19:59:16
From: Doctor Jodi
Subject: Re: Math / geometry / quadrilaterals

Hi Doug!

I think you're talking about these:

.......
.     .
.     .
.......
square
......                  .............
.    .                 .           .
......                .............
rhombus                  rectangle

...................
.                 .
.                 .
..................
parallelogram

.
.   .
.       .               .............
.           .            .               .
.         .            .                   .
.       .            .........................
.     .                 trapezoid
.   .
. .
.
kite

Some things to note:

1. A RHOMBUS is an 'equilateral quadrilateral' (all sides have the
same length).

2. A RECTANGLE is an 'equiangular quadrilateral' (all angles have the
same measure).

3. A SQUARE is an 'equilateral, equiangular quadrilateral', or simply
a 'regular quadrilateral'.  Every square is also a rhombus (because
it's equilateral) and a rectangle (because it's equiangular).

4. A PARALLELOGRAM is any quadrilateral with exactly two pairs of
parallel sides. Every rhombus is a parallelogram, and so is every
rectangle.  And of course, so is every square.

5. A TRAPEZOID is any quadrilateral with exactly one pair of parallel
sides.  (If the non-parallel sides have the same length, it's
called an 'isosceles trapezoid'.)

6. A KITE has no parallel sides; however, it does have two pairs of
sides with equal lengths.  In a sense, a kite is what you get when
you split a parallelogram along a diagonal, flip one of the pieces,
and put it back together again.  That is, instead of being across
from each other, the sides with equal lengths are adjacent to each
other.

Does this help?

-Doctor Jodi,  The Math Forum

```
Associated Topics:
Middle School Geometry
Middle School Triangles and Other Polygons

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