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

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 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.
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.

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

1 answer

The correct response is:

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 has 5 lines of symmetry, each of which can be drawn from a vertex to the midpoint of the opposite side.