# Equilateral & Equiangular N-gons

- Author:
- Judah L Schwartz

- Topic:
- Geometry

Three-sided figures are called

*. They could also be called***triangles***. They are 3-gons. All equilateral 3-gons are equiangular. All equiangular 3-gons are equilateral. Four-sided figures are called quadrilaterals. They could also be called quadrangles. They are 4-gons. Here are some categories of 4-gons; • 4-gons that are equiangular • 4-gons that are***trilaterals****NOT**equiangular • 4-gons that are equilateral • 4-gons that are**NOT**equilateral Give an example of a 4-gon that fits in each category. Are there 4-gons that fit in**NO**category? Example, or why not? Are there 4-gons that fit in**MORE THAN ONE**category? Example, or why not? What about pentagons (5-gons)? hexagons (6-gons) ?**What questions could / would you ask your students based on this applet ?**