How many lines of symmetry does a regular polygon with 16 sides have?A.2B.8C.16D.32

Break Down the Problem

1. Identify the type of polygon: Regular polygon with 16 sides (hexadecagon).
2. Recall the property of lines of symmetry in regular polygons.

Relevant Concepts

• A regular polygon with $n$ sides has $n$ lines of symmetry.

Analysis and Detail

1. Since the polygon has 16 sides, we can apply the formula for lines of symmetry: $\text{Number of lines of symmetry} = n = 16$

Verify and Summarize

• Since the computation leads us directly to the total based on the properties of regular polygons, we can confidently state the result.

Final Answer

The regular polygon with 16 sides has 16 lines of symmetry. The answer is C. 16.