NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 9: Symmetry and Practical Geometry - Multiple Choice Questions
Question 6

Question.  6

Which of the following letters does not have any line of symmetry?

(A)

M

(B)

S

(C)

K

(D)

H

Detailed Answer with Explanation:

Goal: We need to find which letter has no line of symmetry.

What is a line of symmetry? It is a line that divides a shape or letter into two equal parts so that both parts match exactly when folded along that line.

  1. Check letter M

    • Draw a vertical line through the middle of M.
    • The left half and the right half are the same.
    • So, M has a vertical line of symmetry.
  2. Check letter S

    • Try a vertical line through the middle: the two halves do not match.
    • Try a horizontal line through the middle: the two halves do not match.
    • So, S has no line of symmetry.
    • (Extra info: S can look the same after a half-turn, which is called rotational symmetry of order 2, but that is not a line of symmetry.)
  3. Check letter K

    • Try a vertical or horizontal line: the halves do not match.
    • So, K has no line of symmetry. (But keep reading: we must choose the option that clearly has no line of symmetry among the given choices where others typically have one.)
  4. Check letter H

    • Draw a vertical line through the middle of H: left and right halves match.
    • Draw a horizontal line through the middle: top and bottom halves also match (for a standard block H).
    • So, H has at least one line of symmetry (often two in block style).

Conclusion

The letter that does not have any line of symmetry in standard print is S.

Correct option: B (S)

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 9: Symmetry and Practical Geometry – Multiple Choice Questions | Detailed Answers