# What are the properties of a pentagon?

## What are the properties of a pentagon?

Convex polygon
Equilateral polygonIsotoxal figureIsogonal figureCyclic
Pentagon/Properties

What is a pentagon with equal sides?

In geometry, an equilateral pentagon is a polygon in the Euclidean plane with five sides of equal length. In contrast, the regular pentagon is unique, because it is equilateral and moreover it is equiangular (its five angles are equal; the measure is 108 degrees).

Does an irregular pentagon have equal sides?

A regular pentagon has five equal sides and five equal interior angles. Irregular pentagon: An irregular pentagon is a pentagon which does not have all sides equal.

### What kind of shape is a pentagon?

Regular polygon
Regular pentagons

Regular pentagon
Type Regular polygon
Edges and vertices 5
Schläfli symbol {5}
Coxeter diagram

Is any 5 sided shape a pentagon?

In geometry, a pentagon is a five-sided polygon with five straight sides and five interior angles that sum up to 540° . A pentagon shape is a plane figure, or flat (two-dimensional) 5-sided geometric shape.

What are the 5 sides of the Pentagon?

Types of Pentagons

• Regular or equilateral pentagon: five equal sides and angles.
• Irregular pentagon: five unequal sides and unequal angles.
• Convex pentagon: no internal angle can be greater than 180 degrees.
• Concave pentagon: has an internal angle greater than 180 degrees causing two sides to “sink in” like a “cave”

## What are the 5 sides of the pentagon?

Is any 5-sided shape a pentagon?

In geometry, a pentagon (from the Greek πέντε pente meaning five and γωνία gonia meaning angle) is any five-sided polygon or 5-gon. The sum of the internal angles in a simple pentagon is 540°. A pentagon may be simple or self-intersecting. A self-intersecting regular pentagon (or star pentagon) is called a pentagram.

Is a house shape a pentagon?

Remember, a pentagon can look many different ways, but the simplest way to draw one is just to remember what a house looks like. There is a famous building in Washington, D.C. that is also called a pentagon.

### What is a 5-sided shape?

pentagon
A five-sided shape is called a pentagon. In fact it is a 4-sided polygon, just like a triangle is a 3-sided polygon, a pentagon is a 5-sided polygon, and so on.

What is a 99 sided shape called?

enneacontagon
In geometry, an enneacontagon or enenecontagon or 90-gon (from Ancient Greek ἑννενήκοντα, ninety) is a ninety-sided polygon….Enneacontagon.

Regular enneacontagon
Internal angle (degrees) 176°
Dual polygon Self
Properties Convex, cyclic, equilateral, isogonal, isotoxal

What is a 7 sided shape called?

heptagon
In geometry, a heptagon is a seven-sided polygon or 7-gon.

## Are all the interior angles of a pentagon equal?

A regular pentagon is a pentagon whose sides are equal in length, and whose interior angles are equal in measure. Since each of the interior angles in a regular pentagon are equal in measure, each interior angle measures 540°/5 = 108° as shown below. Each exterior angle of a regular pentagon has an equal measure of 72°.

Does regular pentagon have 5 equal sides?

A pentagon is a 5-sided Polygon (a flat shape with straight sides): When all angles are equal and all sides are equal it is regular , otherwise it is irregular: A convex pentagon has no angles pointing inwards. More precisely, no internal angles can be more than 180°.

How many equal sides does a pentegon have?

An equilateral pentagon is a polygon with five sides of equal length. However, its five internal angles can take a range of sets of values, thus permitting it to form a family of pentagons. In contrast, the regular pentagon is unique up to similarity, because it is equilateral and it is equiangular (its five angles are equal).

### Are all the sides to a pentagon the same size?

Therefore, the sum of angles in a pentagon is 540 degrees. All the sides are of the same length (congruent, that is they are equal) and all the interior angles are of the same size (congruent).