Symmetrical Shapes

Symmetrical Shapes – Types, Patterns, Examples | How to Make Symmetrical Shapes?

Any shape or object that has two equal parts when we cut in two equal halves. The two parts appear exactly similar after they are cut into two equal halves. Those shapes are called Symmetrical Shapes. The line that divides the shape is called symmetry. Also, we can see the exact and complete image when we place a mirror at the place of a line of symmetry.

If you fold any shape at the line of symmetry, then one half of the shape exactly lies over the other half and looks similar to it. The shapes that are not symmetrical are known asymmetrical shapes.

Symmetrical Shapes Examples

Check out the below shapes that show they are symmetrical and their first-half looks similar to the second half when they fold at line of symmetry.

Line of Symmetry

You can see one line of symmetry, two lines of symmetry, and also more lines of symmetry in some shapes or objects. Check some examples of different lines of symmetry shapes below.

1 Line Symmetry

1 Line Symmetry has only one line that can make the object into two equal halves. Let us see the below images to find the 1 Line Symmetry.

1 line symmetry

2 Lines Symmetry

If any object or shape is symmetrical about two lines, then it is called 2 Lines Symmetry. The lines may be horizontal and vertical lines. Check the below examples to see the 2 Lines of Symmetrical shapes.

2 lines symmetry

3 Lines Symmetry

If you consider an equilateral triangle then it will represent three lines of symmetry. Check the below image to find the 3 Lines Symmetry shape.

3 lines symmetry

4 Lines Symmetry

You can see a square with a 4 Lines Symmetry that consists of all the sides equal. It has two diagonals and the other two along the midpoints of opposite sides. So, the complete pattern consists of 4 lines of symmetry.

four line of symmetry

Infinite Lines

Some figures have more than four lines of symmetry. The circle is an example of Infinite lines of symmetry.

six lines of symmetry Five lines of symmetry

Vertical Line of Symmetry

A vertical line of symmetry refers to an object or shape that is cut into two identical halves with the vertical line of symmetry. A, H, M, O, U, V, W, T, Y are some of the alphabets examples of Vertical Line of Symmetry. The trapezoid is also one example of a vertical line of symmetry.

1 line symmetry

Horizontal Line of Symmetry

The Horizontal line of symmetry is the line that cuts an object or shape into two equal halves when the horizontal line passes through it. B, C, H, E are examples of Horizontal Line of Symmetry.

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Symmetrical Shapes Examples

Example 1.
Which of the following shapes does not have a line of symmetry?

symmetrical shapes 1

From the given images, only the first one has one line of symmetry. And the second image is asymmetric. When you fold both images, then we can see a line of symmetry in the first image, not in the second image.
symmetrical shapes Example

Example 2.
Which of the following is not a line of symmetry?

symmetrical shapes Examples

(b) and (e) are does not have any line of symmetry.

Example 3.
Can you complete the below picture using a line of symmetry?

symmetrical shapes question and answer

The below complete image is developed using a line of symmetry.

FAQs on Symmetrical Shapes

1. What is symmetry?

The symmetry is the reflection of an image that is similar to the original image. If you take an object or shape and draw a line of symmetry then the image’s first half appears similar to the second half of the image.

2. What are the 4 types of symmetry?

The different 4 types of symmetries are

  • Translation symmetry
  • Reflection (or reflexive) symmetry
  • Rotational symmetry
  • Glide symmetry

3. How many lines of symmetry do a square has?

A square has four lines of symmetry.

4. Define Horizontal and Vertical Line of Symmetries?

The line that divides the shape into two identical halves vertically is known as a vertical line of symmetry. The line that divides the shape into two identical halves horizontally is known as a horizontal line of symmetry.

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