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Which one of the following statements is true ?

  • A.A regular hexagon has only 4 lines of symmetry.
  • B.A regular polygon of 10 sides has 10 lines of symmetry.
  • C.A circle has no line of symmetry.
  • D.An angle has two lines of symmetry.

Answer: B

The true statement is that a regular polygon of 10 sides has 10 lines of symmetry.

A regular polygon with n sides has exactly n lines of symmetry: for even n, lines through opposite vertices and through midpoints of opposite sides. So a regular decagon has 10.

The others are false. A regular hexagon has 6 lines of symmetry, not only 4. A circle has infinitely many, since every diameter is a line of symmetry. An angle has exactly one line of symmetry, its bisector, not two.

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