Question

Which of the following is a characteristic of a regular tessellation?​

Answer 1

Answer: Choice A

Explanation:

For regular tessellations, the types of polygons that we can use are

• squares or rectangles
• equilateral triangles
• regular hexagons

We can only pick one of those shapes.

Shapes like regular octagons or pentagons will not work on their own because there is gap or overlap if we tried to glue them together. Think of tiles on the floor. There cannot be any gap or overlap when forming a tessellation.

If you wanted to use octagons to tessellate the plane, then you'd need squares to fill in the gaps. At this point, it's not considered a regular tessellation.