Which statements are true about the lines of symmetry of a regular pentagon? Check all that apply and explain.
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.

Solution:

The number of lines of symmetry in a regular polygon is equal to the number of sides.

A regular pentagon has 5 equal sides.

Therefore, a regular pentagon has 5 lines of symmetry.

From the above figure it is clear that

1. Each line passes through a vertex
2. Each line bisects a vertex angle
3. Each line is perpendicular to a side

Which statements are true about the lines of symmetry of a regular pentagon? Check all that apply and explain.

Summary:

The statements which are true about the lines of symmetry of a regular pentagon are : (i) Every line bisects a vertex angle (ii) Every line bisects a side. (iii) Every line is perpendicular to a side.