NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 9: Symmetry and Practical Geometry - Fill in the Blanks

Question 34

What is a line of symmetry?

A line of symmetry divides a shape into two exact mirror halves.

If you fold the shape along this line, both parts match perfectly.

How to test a letter for symmetry

Use the “fold test” in your mind:

• Vertical fold: Imagine folding the letter from top to bottom through the middle.
• Horizontal fold: Imagine folding the letter from left to right through the middle.

If neither fold makes two identical halves, the letter has no line of symmetry.

Note: We use standard block (print) capital letters, like the ones on classroom charts.

Examples (just to understand)

Some letters like A or O can be split into matching halves (they have symmetry).

Now we will look for letters that do not split into matching halves.

Letters with no line of symmetry

• F – The top and middle bars make the two sides different.
• G – The open gap and inner stroke break the balance.
• J – The bottom curve and the top differ across any fold.
• L – One long vertical and one short horizontal line do not match.
• N – The diagonal slant means the halves don’t mirror.
• P – The loop on one side has no matching part on the other side.
• Q – The tail breaks the mirror match.
• R – The leg and loop make the two sides different.
• S – The top and bottom curves are not mirror halves.
• Z – The slant makes top and bottom positions different.

Count them

There are 10 such letters: F, G, J, L, N, P, Q, R, S, Z.