Symmetrical Shapes

Symmetrical shapes are discussed here in this topic.

Any object or shape which can be cut in two equal halves in such a way that both the parts are exactly the same is called symmetrical. The line which divides the shape is called the symmetry. So, if we place a mirror on the line of symmetry we can see the complete image.

When a symmetrical shape is folded along the line of symmetry, one half of the shape exactly lies over the other half which shows that one half of the shape is exactly the same as the other half.

There are many things around us which are symmetrical. Look at the following pictures and observe.

$Symmetrical Figures$

We know that in one symmetrical figure may have more than one line of symmetry.

Some symmetrical shapes have one line of symmetry, some have two and some have more than two, as shown below:

(i) Examples of the shapes having one-line symmetry:

$One-Line Symmetry$

One-Line Symmetry

Some shape may have two or more lines of symmetry like a circle has infinite lines of symmetry. A square has four lines of symmetry. A rectangle has two lines of symmetry.

(ii) Examples of the shapes having two - lines symmetry:

$Two-Line Symmetry$

Two – Lines Symmetry

(iii) Examples of the shapes having three - lines symmetry:

$Three – Lines Symmetry$

Three – Lines Symmetry

(iv) Examples of the shapes having four - lines symmetry:

$Four – Lines Symmetry$

Four – Lines Symmetry

(v) Examples of the shapes having many - lines symmetry:

$Many – Lines Symmetry$

Many – Lines Symmetry

The line which divides the shape into two equal parts from top to bottom is called the vertical line of symmetry.

$Vertical Line of Symmetry$

Some objects have a horizontal line of symmetry which divides the shape into equal parts from left to right side.

$Horizontal Line of Symmetry$

Thus we may conclude that;

(i) Some shapes have no line of symmetry,

(ii) some have one line of symmetry,

(iii) some have two,

(iv) some have three and

(v) some have many lines of symmetry.

A circle has innumerable lines of symmetry that pass through its centre,

The knowledge of symmetrical shapes and lines of symmetry is very useful for making symmetrical designs.

You might like these

Worksheet on Perimeter of a Figure |Questions on Measurement of Length

In worksheet on perimeter of a figure, all grade students can practice the questions on measurement of length. This exercise sheet on perimeter can be practiced by the students to get more ideas to learn to find the perimeter of a figure. 1. Find the perimeter of each of the
Worksheet on Polygons | Types of the Triangles | Draw the Shapes

Worksheet on polygons are important to practice so that students can solve the polygon related questions easily in the 4th grade. A simple closed figure made up of line segments is called a polygon. A polygon having four sides are called quadrilaterals. A square is a
Worksheet on Symmetrical Shapes | Basic Ideas on Symmetrical Shapes

Worksheet on symmetrical shapes we will solve different types of questions. Fourth grade students can practice this geometry worksheet on symmetrical shapes to get the basic ideas on symmetrical
Circle Math | Terms Related to the Circle | Symbol of Circle O | Math

In circle math the terms related to the circle are discussed here. A circle is such a closed curve whose every point is equidistant from a fixed point called its centre. The symbol of circle is O. We have learned to draw a circle, by tracing the outlines of objects like a
What is a Triangle? | Types of Triangle | Scalene Triangle | Isosceles

A simple closed curve or a polygon formed by three line-segments (sides) is called a triangle. The above shown shapes are triangles. The symbol of a triangle is ∆. A triangle is a polygon with three sides. In the given figure ABC is a triangle. AB, BC and CA are its sides.
Worksheet on Closed Curves and Open Curves | Simple Closed Curves

Worksheet on closed curves and open curves questions are here for the students to practice simple shapes. 1. Draw an alphabet which forms a closed figure. 2. Draw a number which forms a closed figure which is not simple. 3. Draw a number which forms a simple closed figure
Simple Closed Curves | Types of Closed Curves | Collection of Curves

In simple closed curves the shapes are closed by line-segments or by a curved line. Triangle, quadrilateral, circle, etc., are examples of closed curves.
Representation of a Fraction | Numerator/Denominator | Simple Fraction

Representation of a fraction is discussed here. In a simple fraction, there is a horizontal line. Above this line we write a number which is called the numerator. Below this line we write another number which is called the denominator.
4th Grade Geometry Worksheet |Line Segments |Rays|Open & Closed Curves

We have learnt about lines, line segments, rays open and closed curves. We also know how to draw two parallel lines using set-squares. Now, answer the following questions to have a quick review of what we have learnt earlier.