Question

which statements are true about the lines of symmetry of a regular pentagon? select three options. every line connects two vertices every line connects the midpoints of 2 sides every line bisects a vertex angle every line bisects a side every line is perpendicular to a side

Explanation:

A regular pentagon has 5 lines of symmetry. Each line of symmetry passes through a vertex and the mid - point of the opposite side.

• Bisecting a vertex angle: Since the line passes through a vertex, it bisects the vertex angle.
• Bisecting a side: As the line passes through the mid - point of the opposite side, it bisects that side.
• Perpendicular to a side: The line of symmetry is perpendicular to the side it bisects.

For option A: In a regular pentagon, a line of symmetry does not connect two vertices. For option B: A line of symmetry does not connect the mid - points of two sides.

Answer:

C. Every line bisects a vertex angle, D. Every line bisects a side, E. Every line is perpendicular to a side