Question

How can a regular hexagon be folded to show that it has reflectional symmetry?

Fold the hexagon along a line from a vertex to the midpoint of an opposite side.
Fold the hexagon along a line connecting the two midpoints of adjacent sides.
Fold the hexagon along a line that bisects two vertex angles.
Fold the hexagon along a line that creates a right angle at a vertex.

Answer 1

Fold the hexagon along a line that bisects two vertex angles.

Reason: a regular hexagon has reflection axes that pass through opposite vertices (and also through midpoints of opposite sides). A line that bisects two opposite vertex angles passes through the center and is one of these symmetry axes, so folding along it maps the hexagon onto itself. The other options do not produce an axis through the center and therefore are not lines of symmetry.