Name: Real Life Examples on Symmetry
Uploaded: 2019-07-19
Duration: 1 min 32 s
Description: In this video, we will learn the concept of symmetry and various real-life examples of symmetry and the line of symmetry of different figures

Question

Does a parallelogram have line symmetry or rotational symmetry or both?

Accepted Answer

We know that,

The line of symmetry can be defined as the axis or imaginary line that passes through the centre of the shape or object and divides it into identical halves.

So, a parallelogram has no line symmetry.

An object is said to have a rotational symmetry if it looks the same after being rotated about its centre through an angle less than $360 °$ .

When an object rotates around a fixed axis if its appearance of size and shape does not change then the object is supposed to be rotationally symmetrical.

A parallelogram has two pairs of parallel sides. The opposite sides of a parallelogram are congruent. A parallelogram has no reflectional symmetry. A parallelogram has rotational symmetry of $180 °$ .

Let us rotate the shape,

We observe that the given figure coincides itself when rotated through $180^{°}, 360^{°}$ about the centre.

The order of rational symmetry of parallelogram is $2 .$

Hence, a parallelogram has rotational symmetry and no line symmetry.

Does a parallelogram have line symmetry or rotational symmetry or both?

Important Questions on Reflection and Rotational Symmetry

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