Question

What letters of the English alphabet have reflectional symmetry (i.e. symmetry related to mirror reflection) about a vertical mirror?

Answer 1

Hint: To solve this question, we should know that reflectional symmetry is a symmetry which we find after drawing the reflection of an image either horizontally or vertically or both. And when we consider the reflectional symmetry of the alphabets, then we can say that we will get the same shape of the alphabet after reflection.

Complete step-by-step answer:
In this question, we have been asked to write the English alphabets which show vertical reflectional symmetry. For that, we should know that mirror symmetry or reflectional symmetry is a symmetry which is obtained by drawing the mirror image.
We know that reflection of an image has a property that each point of reflection is at the same distance as in a real image. If we consider the alphabets from A to Z then we need alphabets which are read as the same as the real alphabet even after the vertical reflection.
So, we can say that the letters, A, H, I, M, O, T, U, V, W, X and Y are the letters which show the vertical symmetry.

Note: We can also solve this question by drawing a vertical line passing through the center of the alphabet, as shown below.

Here, we can see that the portion of the figure on the left and the right of the vertical line of symmetry are the same. Hence, the alphabet has vertical symmetry. We must first write all the letters and then check each one so that we don't miss out on any letter.