NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 9: Symmetry and Practical Geometry - True or False Questions

Question 55

Let’s understand step by step.

1. Meaning first: A line of symmetry is a line that splits a shape into two equal mirror halves.
2. For a square:
• Fold through the middle up–down (vertical). That works.
• Fold through the middle left–right (horizontal). That works.
• Fold along the first diagonal. That works.
• Fold along the second diagonal. That works.

Total for a square:

(4)

3. For a rectangle (not a square):
• Vertical middle line works.
• Horizontal middle line works.
• Diagonals do not work because sides are not all equal.

Total for a rectangle:

(2)

4. Compare:

( ext{Square} = 4 quad ext{and}quad ext{Rectangle} = 2 )

( 4 e 2 )

Conclusion: The statement is false because a square has 4 lines of symmetry, while a rectangle has only 2.

Quick check tip: Try folding a paper square and a paper rectangle to see which folds match perfectly.