Can the figure below tessellate a plane? Explain your answer.

Question

A shape is formed by cutting out a smaller semicircle from a larger semicircle. The remaining closed figure resembling an arch is shown.

Answer 1

No, the figure cannot tessellate a plane. This is because the shape has curves and does not have straight sides or angles, which are necessary for a figure to tessellate a plane. Additionally, the shape is not congruent to itself, meaning it cannot fit together without gaps or overlaps to cover a plane.