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

Question 1

Goal: We need to find the figure that is not symmetric with respect to any line.

Step 1: What does “line of symmetry” mean?

A line of symmetry is a line that divides a shape into two equal mirror halves.

• If you fold the shape along this line, both parts should match exactly.
• The line can be vertical, horizontal, or even slanted.

Step 2: Check each figure one by one

• (i) Looks balanced. You can draw at least one line so that both sides match. So, (i) has symmetry.
• (ii) It is an irregular open shape. Try a vertical line, a horizontal line, or a slanted line— the two parts do not become mirror images. So, (ii) has no line of symmetry.
• (iii) Appears balanced along at least one line (for example, a vertical line). So, (iii) has symmetry.
• (iv) Also looks balanced along at least one line (vertical or horizontal). So, (iv) has symmetry.

Step 3: Conclusion

The only figure that cannot be split into mirror halves by any line is (ii).

Final Answer: B (ii)