Can a hexagon be equiangular but not equilateral?

Indeed it is not true. For example, the hexagon on the left below is equiangular but not equilateral while the one on the right is equilateral but not equiangular.

Are all equiangular hexagons regular?

Direct equiangular polygons by sides. Direct equiangular polygons can be regular, isogonal, or lower symmetries.

What is a hexagon that is not regular?

An irregular hexagon is defined as a 6-sided polygon that is not regular—meaning that all of the sides and angles do not have the same measure.

Are all equilateral hexagons regular?

A regular hexagon is defined as a hexagon that is both equilateral and equiangular. It is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle).

What does a convex hexagon look like?

A convex hexagon has no angles pointing inwards. More precisely, no internal angles can be more than 180°.

Are equiangular polygons always regular?

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.

Can any 6 sided shape be a hexagon?

A five-sided shape is called a pentagon. A six-sided shape is a hexagon, a seven-sided shape a heptagon, while an octagon has eight sides…

How do you prove a hexagon is regular?

A regular hexagon has six equal sides. The six sides of the regular hexagon with the two sides connecting them to the center, for six triangles. The regular hexagon has 6 exterior angles and each one of them is 360/6 = 60 degrees.

How do you know if a hexagon is regular?


  1. Regular or Irregular. When all angles are equal and all sides are equal it is regular, otherwise it is irregular:
  2. Concave or Convex. A convex hexagon has no angles pointing inwards.
  3. Is it a Hexagon? No curved sides.
  4. Properties. A regular hexagon has:
  5. More Images.

What are the properties of a regular pentagon?

Regular Pentagons: The properties of regular pentagons: All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the interior angles, we know that the sum of all the angles is 540 degrees (from above)…

What is the shape of a hexagon?

A hexagon is a 6-sided polygon (a flat shape with straight sides).

Is a Pentagon a hexagon?

Regular pentagons have sides of equal length and interior angles of 108 degrees. The US Department of Defense headquarters is named ‘ the Pentagon ‘ . The edible plant okra is shaped like a pentagon. A hexagon is a 6 sided polygon with interior angles that add to 720 degrees.

What does equilateral mean in math?

equilateral – a figure whose sides are all equal figure – a combination of points and lines and planes that form a visible palpable shape equal – having the same quantity, value, or measure as another; “on equal terms”; “all men are equal before the law”