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.

Explanation:

Step1: Recall properties of regular heptagon

A regular heptagon has 7 sides and 7 vertices.

Step2: Analyze line - of - symmetry properties

The lines of symmetry of a regular heptagon connect a vertex to the mid - point of the opposite side. There are 7 such lines, so it has 7 - fold symmetry. It does not have only 1 line of symmetry. Lines of symmetry do not connect just two vertices in the general sense for a regular heptagon, and also do not connect mid - points of opposite sides (unlike some other regular polygons like even - sided ones).

Answer:

• C. A line of symmetry will connect a vertex and a midpoint of an opposite side.
• D. It has 7 - fold symmetry.