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

Question 44

Why the statement is false:

1. What is a kite? A kite is a quadrilateral (4-sided shape) with two pairs of equal adjacent sides.
2. Name the sides: Suppose the kite is ABCD, with A and C as the “top” and “bottom” vertices.

   (AB = AD)

   (CB = CD)

   Here, the equal sides meet at A and at C.

3. What is a line of symmetry? If you fold the shape along this line, the two halves should match exactly.
4. Try the line through A and C: Draw a line from A to C (the line that connects the vertices where the equal sides meet).

   Fold along AC and check:

   • Triangle on the left matches the triangle on the right.
   • All points overlap perfectly.

   So, AC is a line of symmetry.

5. Try the other diagonal (B to D): Draw a line from B to D.

   Fold along BD and check:

   • The halves do not match because the angles at B and D are usually different in a kite.

   So, BD is not a line of symmetry.

6. Conclusion: A standard kite has only one line of symmetry — the line passing through A and C (the axis joining the vertices where the equal sides meet).

Final answer: False. A kite has one line of symmetry, not two.