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:

A regular hexagon has reflectional symmetry. When folded along a line that bisects two vertex angles, the two halves of the hexagon will match exactly. This shows that the line is a line of symmetry.

• Folding along a line from a vertex to the mid - point of an opposite side: This is not a line of symmetry for a regular hexagon in terms of reflectional symmetry as it does not make the two parts of the hexagon mirror images.
• Folding along a line connecting the two mid - points of adjacent sides: This is not a line of symmetry for a regular hexagon in terms of reflectional symmetry as it does not make the two parts of the hexagon mirror images.
• Folding along a line that creates a right angle at a vertex: This is not a line of symmetry for a regular hexagon in terms of reflectional symmetry as it does not make the two parts of the hexagon mirror images.

Answer:

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