How many lines of symmetry does a regular octagon have? Explain.(1 point)

Question

Responses

A regular octagon has 8 lines of symmetry, one for each pair of opposite vertices and one for each pair of opposite sides.
A regular octagon has 8 lines of symmetry, one for each pair of opposite vertices and one for each pair of opposite sides.

A regular octagon has 16 lines of symmetry, one for each vertex and one for each side.
A regular octagon has 16 lines of symmetry, one for each vertex and one for each side.

A regular octagon has 4 lines of symmetry, one for each pair of opposite sides.
A regular octagon has 4 lines of symmetry, one for each pair of opposite sides.

A regular octagon has 4 lines of symmetry, one for each pair of opposite vertices.

Answer 1

A regular octagon has 8 lines of symmetry, one for each pair of opposite vertices and one for each pair of opposite sides. Since an octagon has 8 sides and 8 vertices, there are 8 pairs of opposite sides and 8 pairs of opposite vertices that can be used as lines of symmetry. This results in a total of 8 lines of symmetry for a regular octagon.