NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 9: Symmetry and Practical Geometry - Multiple Choice Questions
Question 14

Question.  14

The number of lines of symmetry in a protractor is

(A)

0

(B)

1

(C)

2

(D)

more than 2

Detailed Answer with Explanation:

What is a protractor?

A standard school protractor is a semicircle (half a circle) that measures angles from (0^circ) to (180^circ).

What is a line of symmetry?

A line of symmetry is a line that divides a shape into two equal mirror halves. If you fold the shape on this line, both parts match exactly.

Find the symmetry of a semicircular protractor

  1. Look at the midpoint at the bottom (the center mark where you place the protractor). Draw an imaginary line going straight up through this midpoint.

    This is a vertical line that cuts the semicircle into two equal halves.

  2. Check by folding: If you fold the protractor along this vertical line, the left half sits exactly on the right half.

    So this vertical line is a line of symmetry.

Why not other lines?

  • Horizontal line (along the straight edge):

    Above the line there is a curved semicircle. Below the line there is nothing (no curve). They can’t match. So it is not a line of symmetry.

  • Slanted/diagonal lines:

    These would make the left and right parts unequal, so they also fail the mirror test.

Conclusion:

The semicircular protractor has exactly (1) line of symmetry — the vertical line through its midpoint.

Correct Option: (1)Option B

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