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

Question 59

Why the statement is false

1. A regular octagon has 8 equal sides and 8 equal angles.

2. Number of sides = (8)

3. For any regular (n)-gon, the number of lines of symmetry equals the number of its sides.

4. So, lines of symmetry = (n)

5. Here, (n = 8 Rightarrow) lines of symmetry = (8)

Visual way to remember

• There are 4 lines passing through pairs of opposite vertices.
• There are 4 lines passing through the midpoints of opposite sides.

• Total = (4 + 4 = 8)

Conclusion

A regular octagon has (8) lines of symmetry, not (10). Therefore, the statement is false.