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:

Step1: Recall properties of regular pentagon symmetry

A regular pentagon has 5 lines of symmetry.

Step2: Analyze each option

• Option 1: Not all lines connect two vertices. Some connect a vertex and mid - point of opposite side.
• Option 2: Not all lines connect mid - points of 2 sides.
• Option 3: Each line of symmetry of a regular pentagon bisects a vertex angle.
• Option 4: Each line of symmetry of a regular pentagon bisects a side.
• Option 5: Each line of symmetry of a regular pentagon is perpendicular to a side.

Answer:

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