Geometric Shapes in Maths

Geometric Shapes: Geometric shapes are the figures used in mathematics to represent the forms of real-world things. Shapes are the forms of things in geometry that have boundaries, angles, and surfaces.

There are two types of geometric figures:

• 2D Shapes(Two-dimensional)
• 3D Shapes(Three-dimensional)

Shapes are also divided into two types based on their regularity or uniformity.

• Regular Shapes– Symmetric shapes such as squares, circles, etc.
• Irregular Shapes– Asymmetric shapes or freeform shapes.

Geometric shapes are vital in understanding the world around us and play a crucial role in various disciplines, from art to engineering. Here’s an overview of the main types of geometric shapes and their properties:

The list of geometric shapes along with their edges, vertices, and faces is given below.

Closed Shapes

Basic geometric shapes like squares, rectangles, and triangles are a few 2D shapes. These figures are referred such as polygons. Any flat form or plane on a piece of paper is a polygon. They have finite closed boundaries made up of line segments known as sides of the polygon. Geometric figures such as polygons are known as closed figures. The boundary of a closed figure could be either made up of line segments or curves. Therefore, any geometric object that begins and ends at the same location and forms a border using line segments or curves is considered to be a closed figure.

Open Shapes

Open shapes aren’t complete. The beginning points and finishing point must be met in order to draw a closed figure. Using line segments or curves to represent open figures is another option, but at least the lines will be broken up. The origin and destination of an open figure are distinct.

• Mathematics: Understanding properties of shapes helps in the study of geometry, including calculations for area, volume, and other dimensional analyses.
• Engineering and Architecture: Shapes are the foundation of design and construction, influencing the strength, aesthetics, and functionality of structures.
• Art and Design: Artists and designers use geometric shapes to create visual interest and structure in their works.

Geometric shapes are basic elements in geometry and are mainly divided into two types: 2D and 3D shapes. 2D shapes, like circles, triangles, squares, rectangles, and polygons, are flat and only have length and width. They are defined by their edges (the straight lines that form their boundaries), vertices (the corners where edges meet), and internal angles (the angles inside the shape).3D shapes, like spheres, cubes, cylinders, cones, and pyramids, add depth to the length and width, creating a third dimension. These shapes have faces (flat or curved surfaces), edges (where two faces meet), and vertices (corners where edges come together).

Read More,

• Area Formulas for Different Shapes
• Geometry in Maths
• Perimeter Formulas of Geometric Shapes
• Difference between 2D and 3D Shapes

What are different geometric shapes in Maths?

There are various geometric shapes such as circle, square, rectangle, kite, triangle etc. are the basic 2d shapes while Cube, Cuboid, Cone, Cylinder, Sphere are basic 3d shapes.

Name different kinds of polygons.

The different polygons are:

• Triangle
• Quadrilaterals [Square, Rectangle, Parallelogram, Trapezium, Kite]
• Pentagon
• Hexagon

Give a few real-life examples of 3D shapes.

Some examples include:

• Cube – Sugar cube, Rubik’s cube
• Cuboid- A wooden rectangular box, matchbox
• Cone- Ice-cream cone, Pyramid
• Sphere- Football, Basketball
• Cylinder- Gas cylinder, cylindrical jar

What are basic solid shapes?

The basic solid shapes are Cube, Cuboid, Cone, Sphere, Hemisphere and Cylinder.