# In the word “MATHS” which of the following pairs of letters shows rotational symmetry

(a) M and T

(b) H and S

(c) A and S

(d) T and S

**Solution:**

An object when rotated in a particular direction, around a point exactly similar to the original object, is known to have rotational symmetry.

When a geometrical shape is turned, and the shape is identical to the origin, it is known to exhibit rotational symmetry is also known as radial symmetry.

In the word “MATHS”

The pairs of letters which show rotational symmetry are H and S.

Therefore, the pairs of letters that shows rotational symmetry are H and S.

**✦ Try This: **Find the order of rotational symmetry of equilateral triangle.

An Equilateral triangle is a triangle in which all three sides are equal and angles are also equal. The value of each angle of an equilateral triangle is 60 degrees therefore, it is also known as an equiangular triangle.

We know that

If a equilateral triangle is rotated by 120 degree which is one fifth of 360 degree then it fits exactly to its own outline

Therefore, an equilateral triangle has rotational symmetry of order 3.

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 14

**NCERT Exemplar Class 7 Maths Chapter 12 Sample Problem 2**

## In the word “MATHS” which of the following pairs of letters shows rotational symmetry: (a) M and T, (b) H and S, (c) A and S, (d) T and S

**Summary:**

In the word “MATHS” the pairs of letter which shows rotational symmetry is H and S

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