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The Six Quadrilaterals

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. 

Please give me a hand!

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:

                         .     .
                         .     .
             ......                  .............
              .    .                 .           .
               ......                .............
             rhombus                  rectangle

                     .                 .
                      .                 .

            .   .
          .       .               .............
        .           .            .               .
         .         .            .                   .           
          .       .            .........................
           .     .                 trapezoid
            .   .
             . .

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

Does this help? 

-Doctor Jodi,  The Math Forum

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

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