Examples on Symmetry

Examples on symmetry are,

Example 1. Can the below figure considered to be symmetrical?

Solution:

No, we cannot consider this figure to be symmetrical. There is no line of symmetry existing for the figure.

Example 2: Can the below figure considered to be symmetrical?

Solution:

Yes, we can consider the figure to be symmetrical as it has a line of symmetry passing through it.

Example 3: Draw the line of symmetry of below figures if the line of symmetrical exists for below figures.

Solution:

Since, the first figure is unsymmetrical, hence the line of symmetry can be drawn for figure B only which is shown as below

Example 4: Can the below figure considered to be symmetrical?

Solution:

No this figure cannot be considered to be symmetrical in nature.

Example 5: Can the below considered to be symmetrical

Symmetry Example 5

Solution:

Yes, we can consider ‘figure A’ to be symmetrical.

Symmetry

Symmetry is the phenomenon of dividing a geometric shape into the same halves. We can also call symmetry a balanced and proportionate similarity between two halves of an object. Symmetry is an important mathematical concept related to pictorial represented objects and figures.

In this article, we will discuss what is symmetry in detail and have a look at some solved figure-based examples that will help in understanding the concept of symmetry more clearly.

Table of Content

  • What is Symmetry in Math?
    • Symmetry Definition
    • Symmetry Meaning
  • Symmetrical Figures
  • Properties of Symmetrical Figures
  • Axis of Symmetry

  • Lines of Symmetry
    • Horizontal Line of symmetry
    • Vertical Line of symmetry
    • Diagonal Line of symmetry
    • One Line of Symmetry
    • Two Line of Symmetry
    • Three Line of Symmetry
    • Four Line of Symmetry
    • Infinite Line of Symmetry
  • Types of Symmetry
    • Rotational Symmetry
    • Translational Symmetry
    • Reflexive Symmetry
    • Glide Symmetry
    • Point Symmetry
  • Symmetry in Real Life
  • Symmetrical Shapes
    • Symmetry in Triangle
    • Symmetry in Quadrilateral
    • Symmetry in Pentagon
  • Symmetry in Letters
  • Face Symmetry
  • Examples on Symmetry
  • Practice Questions on Symmetry

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What is Symmetry in Math?

Symmetry in mathematics is a phenomenon when a geometrical shape or object can be split into two or more equal parts along the symmetrical axis and each of the parts obtained would be identical to each other. Symmetry can be understood as the mirror image of the other portion of the image. The similar parts of the object/ figure are mirror images of each other. Symmetrical figures have an which is present and divides the figure into parts that are equal and identical to each other in all aspects....

Symmetrical Figures

Some of the common examples of symmetry are listed below in the figure. In the below attached figure, we can find that each figure has some imaginary lines which divide the figure into two halves and these two halves are the same in shape and size. These imaginary Lines are called Lines of Symmetry or Axis of Symmetry. Various figures that show symmetry are added in the image below,...

Properties of Symmetrical Figures

The properties of symmetrical figures are mentioned below:...

Axis of Symmetry

The symmetrical axis also called the line of symmetry which divides the figure into two or more equal parts. Line of symmetry can be vertical, horizontal or diagonal in nature. The symmetrical axis divides the figure into parts that are equal and identical to each other. We can have more than one axis of symmetry for figures and objects. Symmetry axis lines are thus imaginary lines that divide an object into two or more equal and mirror-image halves, ensuring balanced and identical reflection. They are essential in geometry and design for creating harmonious and visually appealing shapes....

Lines of Symmetry

The lines of symmetry are the imaginary lines along which a geometrical figure is symmetric in nature. We can classify the lines of symmetry in two types. First one is based on the nature of lines of symmetry which can be further classified as horizontal, vertical or diagonal in nature. Second type of line of symmetry is based on the number of lines of symmetry based on which which can classify line of symmetry as...

Types of Symmetry

Symmetry can be classified into several distinct types, each playing a significant role. The different types of symmetry are fundamental concepts that help us understand and describe patterns, shapes, and structures in the world around us. Below are the different types of symmetry in mathematics:...

Symmetry in Real Life

In real life symmetry can be discussed in various shapes, such as Triangles, Quadrilateral, Pentagon, and Alphabetical Letters, Faces, etc. Let’s learn about them in detail....

Symmetrical Shapes

There are several figures which can be said to symmetrical. The example of the them would be like a cube if the symmetrical axis passes through the middle of the cube. Sphere, circle are also considered to be symmetrical figure with line of symmetry passing through their center. Symmetry in Shapes involves ensuring that the left and right halves of a shape is evenly balanced, creating a pleasing and harmonious appearance....

Symmetry in Letters

Letter symmetry refers to the visual balance and mirror-like quality of letters and characters in written or printed text. It is a concept that is often considered in typography, calligraphy, and graphic design. In typography, the symmetry of letters plays a vital role in the overall aesthetics of a typeface. It involves ensuring that the left and right halves of a letter or character are evenly balanced, creating a pleasing and harmonious appearance. Letter symmetry is especially important in fonts and typefaces where each character is meticulously crafted to maintain visual consistency. It adds to the readability and visual appeal of written and printed materials....

Face Symmetry

Like, letters and shapes human face is also symmetrical in nature. If we draw a line of symmetry passing exactly through the middle of the face then the each side will appear to be same and combining them would result in the complete face. For better understanding of face symmetry the image has been added below:...

Examples on Symmetry

Examples on symmetry are,...

Practice Questions on Symmetry

Various questions on symmetry are,...

Symmetry – FAQs

What is Symmetry with Examples?...