# Which regular polygon has congruent?

## Which regular polygon has congruent?

Look at the lengths of the sides. In the first pentagon, all of the angles are congruent and all of the sides are congruent. In the second pentagon, the angles have different measures and the sides have different lengths. We call a polygon whose angles and sides are all congruent a regular polygon.

## What is a polygon in which all sides are congruent and all angles are congruent?

A polygon which has all sides mutually congruent and all angles mutually congruent is called a regular polygon.

Which polygon will always be regular?

A square is a polygon that is always regular. By definition, a square has four equal sides, so it is equilateral.

### What is the only type of polygon that must be regular if it is Equiangular?

In geometry, an equilateral polygon is a polygon which has all sides of the same length. Except in the triangle case, it doesn’t need to be equiangular (doesn’t need to have all angles equal), but if it does then it is a regular polygon.

### Is a polygon with congruent sides a regular polygon?

A regular polygon has congruent angles and congruent sides. Any polygon can be a regular polygon. The four angles in a square are always 90∘, and their sum is always 360∘. However, there is a special name for a “regular triangle.” A triangle with three congruent sides is called an equilateral triangle.

What are congruent sides?

In geometry, if two segments are congruent, then they have the same length or measure. In other words, congruent sides of a triangle have the same length.

#### What is a polygon that does not have all sides and all interior angles congruent is?

Any polygon that does not have all congruent sides is an irregular polygon. Irregular polygons can still be pentagons, hexagons, and nonagons, but they do not have congruent angles or equal sides. Here are some examples of irregular polygons.

#### Does an equilateral polygon have all sides congruent?

An equilateral polygon is a polygon in which all sides are congruent to one another (or, they all have the same length). A rhombus, for example, is equilateral. Regular polygons are both equiangular and equilateral, so all angles in it are congruent and all sides are congruent.

What makes a regular polygon regular?

A polygon is called regular if it has equal sides and angles. Thus, a regular triangle is an equilateral triangle, and a regular quadrilateral is a square.

## Are convex polygons always regular?

A polygon that is regular is both equilateral AND equiangular. A polygon is convex if no line that contains a side of the polygon contains a point in the interior of the polygon. In a convex polygon, each interior angle measures less than 180 degrees. A triangle is always convex, and regular polygons are always convex.

## Is it possible to have a polygon that is a regular concave B regular convex C irregular concave and d irregular convex?

In geometry, there are many shapes that can be classified as convex polygons. For example, a hexagon is a closed polygon with six sides. Since a hexagon has all its interior angles less than 180°, it can be named a convex polygon….Convex Polygon.

1. Convex Polygon Definition
4. Convex Polygon Formulas
5. FAQs on Convex Polygon

What must be a regular convex polygon?

A regular polygon has all sides congruent and all angles congruent. A polygon is convex if all its diagonals lie in the interior of the polygon.

### What is a polygon with congruent sides called?

A polygon which has all sides mutually congruent and all angles mutually congruent is called a regular polygon. Secondly, does a Pentagon have congruent sides? Polygons – Pentagons. So, the sum of the interior angles of a pentagon is 540 degrees. All sides are the same length (congruent) and all interior angles are the same size (congruent).

### What are the differences between regular and irregular polygons?

A regular polygon has congruent sides and interior angles. Regular polygons have congruent sides and interior angles. Every side is equal in length to every other side, and every interior angle is equal to all other interior angles. The number of regular polygons is limitless. Irregular polygons do not have congruent sides and angles.

How do you know if a shape is a polygon?

To be a polygon, the shape must be flat, close in a space, and be made using only straight sides. Polygons with congruent sides and angles are regular; all others are irregular. Polygons with all interior angles less than 180° are convex; if a polygon has at least one interior angle greater than 180°, it is concave.

#### What is a regular polygon of 7 sides called?

A regular polygon of 7 sides called a regular heptagon. The sum of all interior angles of this polygon is equal to 900 degrees, whereas the measure of each interior angle is approximately equal to 128.57 degrees.