What is a Polygon Shape.? Shape, Types, Examples - Geometry
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# Geometry

## Polygon Shapes for Class 5 Math

A polygon shape is a 2d shape that contains straight lines. Here students will learn about polygons.

In this learning concept, the students will also learn to

• Classify the types of polygons.
• Identify a regular polygon and an irregular polygon.
• Distinguish the different regular polygon shapes.
• Choose examples of polygons and the number of diagonals in a polygon.

Each concept is explained to class 5 maths students using illustrations, examples, and mind maps. Students can assess their learning by solving the two printable worksheets given at the pageâ€™s end.

Download the polygon shapes worksheet for class 5 and check the solutions to the polygon shapes question for class 5 provided in PDF format.

## What Is a Polygon?

• A polygon is defined as a two-dimension closed figure formed by joining three or more straight lines.
• Few examples of polygons are:
• Every polygon is a closed figure but not every closed figure is a polygon.
• Look into the figures below:
• Each figure is a closed figure but not every side is made up of straight lines. Therefore, these are not polygons.

## Types of Polygons

There are two types of polygons:

• Regular Polygon
• Irregular polygon

## What Is a Regular Polygon?

A polygon is said to be a regular polygon if all its side is of equal length and all the angles are equal.

## What Is an Irregular Polygon?

A polygon is said to be an irregular polygon if all its sides and angles are unequal.

## Triangle Polygon

• A triangle is a three-sided closed figure.
• The three-line segments that join to make a triangle is called the sides of the triangle.
• The point where the line segments meet each other is called the vertices of the triangle.
• The angle formed at the vertices of the triangle is called the angles of the triangles.
• The sum of the angles of a triangle is equal to 180Â°.
• A triangle has 3 vertices, 3 sides, and 3 angles.
• In the figure above ABC is the triangle.
• Sides of the triangle = AB, AC, and BC
• Vertices of the triangle = A, B, and C.
• Angles of the triangle = âˆ A, âˆ B, and âˆ C.
• âˆ A + âˆ B + âˆ C = 180Â°

## Types of Triangles

• Equilateral triangle
• Isosceles triangle
• Scalene triangle

## Equilateral Triangle

• In an equilateral triangle, each angle and the length of each side of the triangle are equal.
• Each angle of an equilateral triangle is equal to 60Â°.
• An equilateral triangle is also called a regular triangle.
• Triangle ABC,
• Side: AB = BC = AC
• Vertices: A, B, and C
• Angles: âˆ A = âˆ B = âˆ C = 60Â°

## Isosceles Triangle

• In an isosceles triangle, two angles and the length of two sides of the triangle are equal.
• Triangle AOB,
• Side: AO, AB, OB and AO = AB
• Vertices: A, O and B
• Angles: âˆ O = âˆ B and âˆ A +âˆ O + âˆ B = 180Â°

## Scalene Triangle

• In a scalene triangle every angle and side of the triangle are unequal.
• Triangle ABC,
• Side: AB â‰  AC â‰  BC
• Vertices: A, B and C
• Angles: âˆ A â‰  âˆ B â‰  C and âˆ A +âˆ B + âˆ C = 180Â°

## Square Polygon

• A square is a four-side closed.
• It is made of two equal triangles.
• It is also known as a regular quadrilateral.
• It has 4 equal sides and the opposite sides are parallel to each other.
• It has 4 vertices.
• It has 4 interior angles and each interior angle of a square is equal to 90Â°.
• In the above figure, ABCD is a square.
• Side: AB = BC = CD = AB
• Vertices: A, B, C, and D.
• Angles: âˆ A = âˆ B = âˆ C = âˆ D = 90Â°.
• Sum of the angle of the square is 360Â°.

## Rectangle Polygon

• A rectangle is a four-side closed.
• It is made of two equal triangles.
• It has 4 sides and the opposite sides are parallel and equal to each other.
• It has 4 vertices.
• It has 4 interior angles and each interior angle of a rectangle is equal to 90Â°.
• In the above figure, ABCD is a rectangle.
• Side: AB = CD and AD = BC
• Vertices: A, B, C, and D.
• Angles: âˆ A = âˆ B = âˆ C = âˆ D = 90Â°.
• Sum of the angle of the square is 360Â°.

## Number of Diagonals in a Polygon

• The line segments that join the opposite vertices is called the diagonal.

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