Which statements are true about the reflectional symmetry of a regular heptagon? Check all that apply. It has only 1 line of ref

Question

2 months ago

10

Which statements are true about the reflectional symmetry of a regular heptagon? Check all that apply. It has only 1 line of ref

lectional 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.

Mathematics

2 answers:

zzz [12.3K] · Answer 1 · 2026-02-17T12:36:45+03:00

Here's the answer:

1 - A symmetry line links a vertex to the midpoint of the opposite side.

2 - It exhibits $7$ -fold symmetry.

Explanation:

1 - By definition, a line of symmetry is an imaginary divisor creating two congruent halves. Connecting a vertex to the midpoint of the side opposite in a heptagon yields two identical sections.

2 - Since a heptagon has seven vertices, it possesses $7$ -fold symmetry according to this concept.

Zina [12.3K] · Answer 2 · 2026-02-17T12:37:23+03:00

Answer and Explanation:

A regular heptagon is a seven-sided polygon, having seven edges or vertices.

Reflectional symmetry, also called mirror symmetry, means that if a shape is split by a line, each half is a mirror image of the other.

Among the provided choices, these are true:

- A symmetry line connects a vertex to the midpoint of the opposite side. A line of symmetry is an imaginary line dividing the shape into two equal parts; when connected from a vertex to the opposite side's midpoint, it produces two congruent halves in a heptagon.

- The shape has 7-fold symmetry. Since it's a heptagon, it possesses seven-fold symmetry.