Which of the following summarizes the reflections that will carry a regular pentagon onto itself?(1 point)

Question

Responses

A line drawn through each vertex and through the midpoint of the opposite side will create five lines of reflection that will carry a regular pentagon onto itself.
A line drawn through each vertex and through the midpoint of the opposite side will create five lines of reflection that will carry a regular pentagon onto itself.

A regular pentagon does not have any lines of reflection because it has an odd number of sides.
A regular pentagon does not have any lines of reflection because it has an odd number of sides.

A line through each vertex and through the opposite vertex and then through each side’s midpoint and through the opposite side’s midpoint will create five lines of reflection that will carry a regular pentagon onto itself.
A line through each vertex and through the opposite vertex and then through each side’s midpoint and through the opposite side’s midpoint will create five lines of reflection that will carry a regular pentagon onto itself.

A line through the midpoint of each side and through the midpoint of each opposite side will create five lines of reflection that carry a regular pentagon onto itself.

Answer 1

The correct summary of the reflections that will carry a regular pentagon onto itself is:

A line through each vertex and through the midpoint of the opposite side will create five lines of reflection that will carry a regular pentagon onto itself.

In a regular pentagon, there are five lines of symmetry. Each line of symmetry passes through a vertex and the midpoint of the opposite side. Thus, the first response accurately describes the lines of reflection for a regular pentagon.