Identification of Shapes

1. Introduction

Math shapes are clearly defined shapes with measurable attributes. They are based on shapes in the real world and can be two-dimensional, 2D shapes, or three-dimensional, 3D shapes. Shapes are categorized mainly in two categories: 2D and 3D.

We can learn to define 2D shapes based on:

• The number of sides

• The number of vertices

• Whether they are regular or irregular

We can learn to define 3D shapes based on:

• The number and shape of faces

• The number of vertices

• The number of edges

2. Identification of Shapes

Let's consider how to identify some of the commonly used shapes.

2.1 Triangle

A triangle is a polygon with three sides and three vertices. The sum of the interior angles of a triangle is 180°. There are three main types of triangles are:

2.2 Squares and Rectangles

Squares and rectangles are four-sided polygons. Both of these shapes are categorized as quadrilaterals because they are closed shapes with four sides and four vertices.

2.3 Circle

A circle is a curved shape. It has one continuous curved side. Because it has no straight sides, a circle is not considered a polygon.

2.4 Geometric Shapes

Let's observe some geometric shapes based on number of sides polygon.

Similarly,

Octagon - 8-sided polygon

Nonagon - 9-sided polygon

Decagon - 10-sided polygon

Hendecagon - 11-sided polygon

Dodecagon - 12-sided polygon

Let's have a look on some most common 3D shapes:

3. Example Questions on the Identification of the Shapes

Example:

Liam went to a field measuring 54 cm in length and 54 cm in width. What is the shape of the field?

The field is square-shaped because its length and width are equal, both measuring 54 cm. A square is defined as a shape with four equal sides and four right angles.

Example:

Identify the shape.

The given shape is a triangle with two equal sides.

Therefore, it is an isosceles triangle.