Question

how many lines of symmetry does a regular hexagon have?

Explanation:

Step1: Define line of symmetry

A line of symmetry divides a shape into two mirror-image halves that match exactly when folded along the line.

Step2: Analyze regular hexagon

A regular hexagon has all sides and angles equal. Lines of symmetry include:

1. 3 lines passing through opposite vertices.
2. 3 lines passing through the midpoints of opposite sides.

Step3: Count total lines

Add the two sets of lines: $3 + 3 = 6$

Answer:

6