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.

Explanation:

Reflective symmetry means that when a shape is folded along a line (the line of symmetry), one half of the shape exactly matches the other half.

• For a regular hexagon, the lines of symmetry are the lines that bisect two vertex angles. When folded along such a line, the two halves of the hexagon will coincide.
• Folding along a line from a vertex to the mid - point of an opposite side: This does not result in the two halves of the hexagon coinciding perfectly for all cases of a regular hexagon.
• Folding along a line connecting the two mid - points of adjacent sides: This does not create a line of symmetry for a regular hexagon.
• Folding along a line that creates a right angle at a vertex: This is not a line of symmetry for a regular hexagon.

Answer:

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