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 connects a vertex to the mid - point of the opposite side. So, it bisects a vertex angle (by passing through a vertex) and bisects a side (by passing through the mid - point of the opposite side). Also, since it connects a vertex to the mid - point of the opposite side, it is perpendicular to the side (because of the symmetry properties of a regular pentagon).
• It does not connect two vertices (as it goes from a vertex to the mid - point of the opposite side) and it does not connect the mid - points of two sides (as it starts from a vertex).

Answer:

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