# What Type Of Polygon Is Shown?

Are you curious to know what type of polygon is shown? You have come to the right place as I am going to tell you everything about type of polygon is shown in a very simple explanation. Without further discussion let’s begin to know what type of polygon is shown?

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## What Type Of Polygon Is Shown?

Polygons are geometric shapes with straight sides and distinct angles. They come in various forms and sizes, each with its own set of characteristics. In this blog, we’ll embark on a journey to identify and understand the type of polygon shown in a given shape, uncovering the defining features that distinguish one polygon from another.

## Polygons And Their Characteristics

Before diving into identifying the type of polygon in question, let’s review some fundamental characteristics of polygons:

1. Number of Sides: The most basic attribute of a polygon is the number of sides it has. Polygons can range from three sides to infinity, but for simplicity, we’ll focus on those with a finite number of sides.
2. Angles: The interior angles within a polygon are the angles formed by the intersection of two sides. The sum of these interior angles depends on the number of sides.

Now, let’s examine different types of polygons and their defining features:

1. Triangle: A triangle is a polygon with three sides and three angles. The sum of its interior angles always equals 180 degrees.
2. Quadrilateral: A quadrilateral is a polygon with four sides and four angles. Common examples include squares, rectangles, and parallelograms.
3. Pentagon: A pentagon has five sides and five angles. The sum of its interior angles equals 540 degrees.
4. Hexagon: A hexagon is a polygon with six sides and six angles. The sum of its interior angles equals 720 degrees.
5. Heptagon: A heptagon features seven sides and seven angles. The sum of its interior angles can be calculated using the formula (n-2) × 180 degrees, where “n” is the number of sides. For a heptagon, it’s (7-2) × 180 = 900 degrees.
6. Octagon: An octagon boasts eight sides and eight angles. The sum of its interior angles equals 1080 degrees.
7. Nonagon: A nonagon has nine sides and nine angles, with the sum of its interior angles totaling 1260 degrees.
8. Decagon: A decagon is a polygon with ten sides and ten angles. The sum of its interior angles equals 1440 degrees.

## Identifying The Type Of Polygon Shown

To identify the type of polygon shown in a given shape, follow these steps:

1. Count the number of sides: Begin by counting the sides of the polygon in the shape you’re examining.
2. Examine the angles: If possible, measure the interior angles of the polygon using a protractor or estimate them visually.
3. Use the characteristics: Compare the number of sides and the angles you’ve measured to the characteristics outlined above for different types of polygons.
4. Deduce the type: Based on your observations and comparisons, determine which type of polygon best matches the shape you’re examining.

## Conclusion

Identifying the type of polygon shown in a given shape is a matter of counting sides and examining angles. Understanding the defining features of different polygons, such as triangles, quadrilaterals, pentagons, hexagons, and beyond, allows us to classify shapes accurately. Whether you’re exploring geometry or solving real-world problems, this knowledge helps you decipher the mysteries of polygons and the fascinating world of geometric shapes.

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## FAQ

### Which Is The Correct Description Of The Polygon?

What are Polygons? A Polygon is a closed figure made up of line segments (not curves) in a two-dimensional plane. Polygon is the combination of two words, i.e. poly (means many) and gon (means sides). A minimum of three line segments is required to connect end to end, to make a closed figure.

### Which Polygon Is A Convex Heptagon?

Convex and Concave Heptagon

If all the diagonals lie inside the heptagon, it is known as convex heptagon. If some of the diagonals lie outside of the heptagon and one or more interior angles are greater than 180 degrees, then the heptagon is known as concave heptagon.

### Which Polygon Is A Convex Octagon?

The octagon which has all its angles pointing outside or no angles pointing inwards, is a convex octagon. The angles of the convex octagon are not more than 180°. And the octagon, with one of its angles pointing inward, is a concave-shaped octagon.

### What Is A Polygon With 6 Sides Answer?

A regular polygon having six sides is called a regular hexagon.

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