# What is an equilateral polygon? - Quora.

An equilateral concave pentagon is a pentagon (a polygon with 5 sides) in which all sides have the same length and one or more diagonal is drawn outside the polygon. This means that the figure.

## Types of polygon II convex polygon II concave polygon II.

If a polygon is convex, then all of its angles on the inside of the polygon are less than 180 degrees (less than a straight line). If it is concave, that means that at least one angle is more than.An equilateral polygon means all the sides are congruent. There is also something called an equiangular polygon which means all the angles are congruent. Where these two overlap is the regular polygon. A rhombus is equilateral, but not automatical.Concave equilateral pentagons exist, as do concave equilateral polygons with any larger number of sides. An equilateral polygon which is cyclic (its vertices are on a circle) is a regular polygon (a polygon that is both equilateral and equiangular). A tangential polygon (one that has an incircle tangent to all its sides) is equilateral if and only if the alternate angles are equal (that is.

In geometry, an equilateral polygon is a polygon which has all sides of the same length. For instance, an equilateral triangle is a triangle of equal edge lengths. All equilateral triangles are.In an equilateral polygon, each side has the same length. In triangle ABC below, all sides are 12 feet making triangle ABC equilateral. A regular polygon is BOTH equiangular and equilateral. A square is a regular polygon because all sides have the same length and all angles measure the same: 90 degrees. Question: Is an equilateral triangle a regular polygon? Regular Polygons: Regular polygons are commonly studied in geometry. Polygons are two-dimensional shapes with straight sides, and for a. A polygon with any of the internal angles greater than 180 degrees is known as a concave polygon. In other words, a concave polygon exists with an interior reflex angle. A simple line test can be used to distinguish a concave polygon with a convex polygon. If a line is drawn that passes through the polygon, and it always passes through only two of the lines or polygons making up the shape. Note that a triangle (3-gon) can never be concave. A concave polygon is the opposite of a convex polygon. See Convex Polygon. In the figure above, drag any of the vertices around with the mouse. Take note of what it takes to make the polygon either convex or concave. Also change the number of sides. Properties of a Concave Polygon A line drawn through a concave polygon, depending on exactly. A polygon is either convex or concave. It's convex if any line drawn through it intersects only two other lines. If any line drawn through the polygon can hit more than two other lines, then it's concave. Examples: Concave. Convex. In a convex polygon, every angle is less than 180 degrees. In a concave there is at least one angle greater than 180 degrees. Simple and Complex Polygons In a. Regular Polygon: If a polygon is equilateral (all sides are equal in length) and equiangular (all interior angle measures would be equal), then it is regular polygon. Concave Polygon: In a polygon, when extended, some of the sides intersect the interior, then the polygon is concave. Convex Polygon: In a polygon, when extended, none of the sides intersect the interior, then the polygon is.

## What is a equilateral polygon - Answers. An equilateral polygon is any polygon whose sides are of equal length (its sides are congruent). In the special case of a triangle (trigon), an equilateral triangle is also an equiangular triangle. In the special case of a quadrilateral, an equilateral quadrilateral is a rhombus. Definition: Any polygon that is not a regular polygon. A. They can be convex or concave, but all concave polygons are irregular since the interior angles cannot all be the same. If you drew a polygon at random, it would probably be irregular. Specific irregular polygons such as a parallelogram have some interesting properties and have their own web pages. Equilateral Polygons Equilateral. The black diagonal is partially located outside the polygon. The red diagonal is completely located outside the polygon. A couple of exercises showing how to identify concave polygons by doing some math. 1. Four interior angles of an irregular pentagon measure 68, 176, 90 and 126. Is the irregular pentagon a concave pentagon? Solution. An example of concave polygon is shown below. Convex Polygon. If a polygon has no reflex angle, then it is said to be a convex polygon. Examples of the convex polygons are shown below. Regular Polygon. A regular polygon's sides are all of the same length and its angles are the same size. For example, a square is a regular polygon. Examples of. The assignment is to cut out cards arranging them so that each polygon figure has an equation that models the situation using the polygon's angle sum and a solution for the value of x. The figures include a good variety of polygons including right triangles, isosceles triangles, equilateral triangle.

## What's a Polygon (Regular vs. Irregular and Convex vs. A polygon that is not convex is concave. A regular polygon is equilateral and equiangular. Homework GUIDED PRACTICE 1. Vocabulary Explain why an equilateral polygon is not necessarily a regular polygon. Tell whether each outlined shape is a polygon. If it is a polygon, name it by the number of its sides. CO Tell whether each polygon is. In the case of irregular polygons that are either triangles or quadrilaterals, the methods that may be used are described in the relevant pages. For irregular polygons that have more than four sides, other methods must be used. The exact method used in any given case will depend on the kind of irregular polygon we are dealing with. Consider the. In anequilateral polygon, all sides are congruent. In anequiangular polygon, all angles in the interior of the polygon are congruent. Aregular polygon is a convex polygon that is both equilateral and equiangular. GUIDED PRACTICE for Examples 1 and 2 1.Sketch an example of a convex heptagon and an example of a concave heptagon. 2.Classify the polygon shown at the right by the number of sides. Here, the difference between the convex polygon and concave polygon is given below: What is Regular Convex Polygon? A regular convex polygon is a polygon where each side is of the same length, and all the interior angles are equal and less than 180 degrees. The vertices and sides are evenly spread around a central point. Example: A square is a regular convex polygon. Convex Polygon Properties.