the answer is true -apex
No. Regular tessellations use only one polygon. And, according to the strict definition of regular tessellation, the polygon must be regular. Then a tessellation using rectangles, for example, cannot be called regular.
Actually, tessellations that use more than one type of regular polygon are called semi-regular or Archimedean tessellations, not regular tessellations. Regular tessellations consist of only one type of regular polygon repeating in a pattern. Examples of regular tessellations include those formed by equilateral triangles, squares, or hexagons. Semi-regular tessellations combine two or more different types of regular polygons while still covering a plane without gaps or overlaps.
Tessellations of regular polygons can occur only when the external angle of a polygon is equal to a factor of 360. As such, the only tessellations of regular polygons can occur when the internal angles of a polygon are equal to a factor of 360. As such, the only regular polygons which tessellate are triangles, squares, and hexagons.
Sometimes. By definition, a semi-regular tessellation must include more than one type of regular polygon. Some uniform tessellations use more than one type of regular polygon, but many uniform tessellations use only a single regular polygon. Therefore the statement is only sometimes true.
False
Yes, there are only 8.
it seems to me that the only polygon of your description is a square
Only when it has 3 or more equal sides then it is a regular polygon
No, a tessellation cannot be created using only circles, as circles cannot fit together without leaving gaps or overlapping. Tessellations require shapes that can completely cover a surface without any spaces or overlaps. Regular polygon shapes, like squares and hexagons, are typically used for tessellations because they can interlock perfectly. However, circles can be used in more complex or artistic designs that resemble tessellations, but they do not form true tessellations.
Only if the polygon is a regular quadrilateral.
Regular * * * * * Equilateral. It is regular only if all its angles are also congruent. A rhombus is NOT a regular polygon, a square is the only regular quadrilateral.
Only when the polygon is a regular convex polygon. Such as an equilateral triangle, or a square, or a regular pentagon.