Equilateral & Equiangular N-gons
- Author:
- Judah L Schwartz
- Topic:
- Geometry
Three-sided figures are called triangles. They could also be called trilaterals. 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 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 ?