Question

What is the difference between an equiangular polygon, an equilateral polygon, and a regular polygon? Provide an example of each.

Answer 1

See explanation.

Explanation:

An equiangular polygon is a polygon in which all angles are equal.
An equilateral polygon is a polygon with equal sides.
If both sides and angles are equal then the polygon is called regular.

If we look at quadrilaterals, then we can say, that:

1. A rectangle (not being a square) is equiangular (4 right angles)
2. A rhombus (not being a square) is equilateral (4 equal sides, unequal angles)
3. A square is both equilateral and equiangular (i.e. it is a regular polygon)