Which of the following can be used to create a regular tessellation?Check all that apply.A.Regular octagonB.SquareC.Regular heptagonD.Equilateral triangleE.Regular hexagon

A regular tessellation is a pattern made by repeating a regular polygon. So, we need to check which of the given shapes are regular polygons and can tessellate, i.e., cover a plane without any gaps or overlaps.

A. Regular octagon - A regular octagon cannot tessellate because the interior angle of a regular octagon is 135 degrees, which is not a divisor of 360. So, it cannot fit around a point without leaving a gap.

B. Square - A square is a regular polygon and can tessellate. The interior angle of a square is 90 degrees, which is a divisor of 360. So, it can fit around a point without leaving a gap.

C. Regular heptagon - A regular heptagon cannot tessellate because the interior angle of a regular heptagon is approximately 128.57 degrees, which is not a divisor of 360. So, it cannot fit around a point without leaving a gap.

D. Equilateral triangle - An equilateral triangle is a regular polygon and can tessellate. The interior angle of an equilateral triangle is 60 degrees, which is a divisor of 360. So, it can fit around a point without leaving a gap.

E. Regular hexagon - A regular hexagon is a regular polygon and can tessellate. The interior angle of a regular hexagon is 120 degrees, which is a divisor of 360. So, it can fit around a point without leaving a gap.

So, the shapes that can be used to create a regular tessellation are B. Square, D. Equilateral triangle, and E. Regular hexagon.