# Write the letters of the word ‘ MATHEMATICS’ which have no line of symmetry.

A. S

B. M

C. E

D. Y

Answer

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**Hint:**In this question, we need to find which letter of the word MATHEMATICS has no line of symmetry. First, we need to know about the line of symmetry. That is the line of symmetry is an imaginary line where we can fold the image and have both the halves match exactly. For checking the line of symmetry of an image, we need to draw a horizontal line and then a vertical line through the centre of the image. Using this we can easily find the letter which has no line of symmetry.

**Complete step-by-step answer:**

Given, MATHEMATICS

Now we need to check which of the given alphabets, that are S, M, E and Y has no line of symmetry.

Let us check the given options one by one whether they have a line of symmetry or not.

First, Let us consider (A), S

Now on drawing a horizontal line,

We get,

We observe that two halves don’t match. So, let us try it by drawing a vertical line .

Now also two halves don’t match. Hence S has a line of symmetry.

Next let us consider the option (B) M

Now on drawing a horizontal line,

We get,

We observe that two halves don’t match. So, let us try it by drawing a vertical line .

We observe that the vertical line divides M into two equal parts. Hence M has a line of symmetry.

Then let us consider the option (C) E

Now on drawing a horizontal line,

We get,

We observe that the horizontal line divides E into two equal parts. Hence E has a line of symmetry.

Finally let us check the option (D) Y

Now on drawing a horizontal line,

We get,

We observe that two halves don’t match. So, let us try it by drawing a vertical line .

We observe that the vertical line divides Y into two equal parts. Hence Y has a line of symmetry.

Thus the letter S has no line of symmetry.

Final answer :

The letter S has no line of symmetry.

**So, the correct answer is “Option A”.**

**Note:**We should also know that this question is not by drawing either horizontal or vertical lines only . We may make mistake in the place, if the alphabet is not symmetric in drawing horizontal , then we might write that the alphabet has no line of symmetry but in such cases, we need to check by drawing both horizontal and vertical lines in order to check if any of the two lines make the alphabet symmetric or not. Then If both the lines don’t give symmetric figures, only then that figure will have no line of symmetry.

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