The Six QuadrilateralsDate: 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: ....... . . . . ....... 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 |
Search the Dr. Math Library: |
[Privacy Policy] [Terms of Use]
Ask Dr. Math^{TM}
© 1994- The Math Forum at NCTM. All rights reserved.
http://mathforum.org/dr.math/