Geometry / Mr. Hansen
11/30/2001

Name: _________________________

Polygon Feature Chart

HPI (Hansen Polygons, Inc.) is pleased to introduce its 2002 line of polygons for all occasions.

Among our more reasonably priced models are the Rhombus®, the fun and sporty Kite®, the budget-priced Trapezoid®, the versatile Parallel-O-Gram®, the ultra-dependable (though not very exciting) Square®, and the ever-popular Rectangle®.

Below is a feature list for all our best-selling 3- and 4-sided models. Help us fill in the blanks!

Remember, you can buy Equilateral Triangles from either our Equiangular Dept. or from our Isosceles Dept. Because of the large demand for Squares, we are currently looking for a dealer to take part of the customer load currently being handled by the Rectangle Dept. and the Rhombus Dept. If you are interested in selling Squares, please send your resume to E. Michael Hansen, c/o St. Albans School, Mount St. Alban, Washington, DC 20016-5095.

Legend:

 = standard feature

 = extra-cost option (sometimes present, sometimes not)

 = feature not available

* = "defining feature": a feature that is present if and only if you have a 3- or 4-sided polygon of this type

Notes:

a = Any Quadrilateral dealer can assist you if you want this feature. You need not contact any special department.

c = Please be sure to contact the Convex Quadrilaterals Dept. Our non-convex Quadrilaterals do not have a full set of diagonals.

i = If you want this feature, please contact the Isosceles Dept..

r = If you want this feature, please contact the Rectangle Dept. (or the Square Subdepartment).

s = If you want this feature, please contact the Square Subdepartment.

 

4 coplanar sides

each interior Ð < 180°

con-gruent dia-
gonals

equi-
angular

"aabb" pattern for sides

"aabb" pattern for Ðs

self-bisecting dia-
gonals
(each
bisects
the
other)

at least 1 diagonal is ^ bisector of the other

each dia-
gonal is
^ bisec-
tor of the other

both pairs of opp. Ðs con-gruent

both pairs of opp. sides con-gruent

both dia-
gonals are
Ð bisec-
tors

Quadri-
lateral

*

 

c

 

 

 

 

 

 

 

 

 

Convex Quadri-
lateral

 

a

 

 

 

 

 

 

 

 

 

Parallel-O-Gram

 

r

 

 

 

 

 

 

 

 

 

Rectangle

 

 

 

 

 

 

 

 

 

 

Rhombus

 

s

 

 

 

 

 

 

 

 

 

Kite

 

s

 

 

 

 

 

 

 

 

 

Square

 

 

 

 

 

 

 

 

 

 

Trapezoid

 

i

 

 

 

 

 

 

 

 

 

Isosceles Trapezoid

 

 

 

 

 

 

 

 

 

 

Triangle

 

 

 

 

 

 

 

 

 

 

Isosceles Triangle

 

 

 

 

 

 

 

 

 

 

Equilateral Triangle