## What shapes are equiangular and equilateral?

For example, equilateral triangles have all congruent sides – that’s the definition of equilateral. All their angles are the same also, which makes them equiangular. For triangles, it turns out that being equilateral and equiangular always go together.

An equiangular quadrilateral, i.e. the one with all angles equal is a rectangle. All angles of a rectangle equal 90°. An equilateral quadrilateral, i.e. the one with all sides equal, is a rhombus. In a square, rectangle, or rhombus, the opposite side lines are parallel.

## Are all Equiangular Quadrilaterals equilateral?

That is, every equiangular triangle is a regular triangle. For example, a rectangle is equiangular — all four angles are 90° — but need not be square (need not have all four sides the same length). Thus, not all equiangular quadrilaterals are equilateral and so are not all regular.

## Is Rhombus both equilateral and equiangular?

If we look at quadrilaterals, then we can say, that: A rectangle (not being a square) is equiangular (4 right angles) A rhombus (not being a square) is equilateral (4 equal sides, unequal angles) A square is both equilateral and equiangular (i.e. it is a regular polygon)

## What is a quadrilateral with no equal sides called?

A scalene quadrilateral is a four-sided polygon that has no congruent sides.