# Polygons

## Polygon Shapes for Class 5 Math

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 page’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.

Polygonal Shape Names

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 180°.
• 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 = ∠A, ∠B, and ∠C.
• ∠A + ∠B + ∠C = 180°

### 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 60°.
• An equilateral triangle is also called a regular triangle.
• Triangle ABC,
• Side: AB = BC = AC
• Vertices: A, B, and C
• Angles: ∠A = ∠B = ∠C = 60°

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: ∠O = ∠B and ∠A +∠O + ∠B = 180°

Scalene Triangle

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

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 90°.
• In the above figure, ABCD is a square.
• Side: AB = BC = CD = AB
• Vertices: A, B, C, and D.
• Angles: ∠A = ∠B = ∠C = ∠D = 90°.
• Sum of the angle of the square is 360°.

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 90°.
• In the above figure, ABCD is a rectangle.
• Side: AB = CD and AD = BC
• Vertices: A, B, C, and D.
• Angles: ∠A = ∠B = ∠C = ∠D = 90°.
• Sum of the angle of the square is 360°.

Number of Diagonals in a Polygon

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

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