A heptagon has all equal side lengths.

Question

Which statements are true about the reflectional symmetry of a regular heptagon? Select two options.

It has only 1 line of reflectional symmetry.
A line of symmetry will connect 2 vertices.
A line of symmetry will connect a vertex and a midpoint of an opposite side.
It has 7-fold symmetry.
A line of symmetry will connect the midpoints of 2 opposite sides.

Answer 1

For a regular heptagon (7-sided polygon) with all equal side lengths, the following statements regarding reflectional symmetry are true:

1. A line of symmetry will connect a vertex and a midpoint of an opposite side.
2. It has 7-fold symmetry.

The other statements are false. A regular heptagon has 7 lines of symmetry, each connecting a vertex to the midpoint of the opposite side, and it does not have a line of symmetry connecting 2 vertices or the midpoints of opposite sides since those do not exist in a heptagon.