A regular tessellation, also known as a regular tiling, is a pattern made by repeating a regular polygon. For a polygon to tessellate, it must be able to fit around a point without any gaps.

A. Equilateral triangle - Yes, an equilateral triangle can be used to create a regular tessellation. When six equilateral triangles meet at a point, they fill up 360 degrees without any gaps.

B. Regular octagon - No, a regular octagon cannot be used to create a regular tessellation. The interior angle of a regular octagon is 135 degrees, and this does not evenly divide into 360 degrees.

C. Regular hexagon - Yes, a regular hexagon can be used to create a regular tessellation. When three regular hexagons meet at a point, they fill up 360 degrees without any gaps.

D. Square - Yes, a square can be used to create a regular tessellation. When four squares meet at a point, they fill up 360 degrees without any gaps.

E. Regular heptagon - No, a regular heptagon cannot be used to create a regular tessellation. The interior angle of a regular heptagon is approximately 128.57 degrees, and this does not evenly divide into 360 degrees.

So, the correct answers are A. Equilateral triangle, C. Regular hexagon, and D. Square.

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A regular tessellation, also known as a regular tiling, is a pattern made by repeating a regular polygon. For a polygon to tessellate, it must be able to fit around a point without any gaps.

A. Equilateral triangle - Yes, an equilateral triangle can be used to create a regular tessellation. When six equilateral triangles meet at a point, they fill up 360 degrees without any gaps.

B. Regular octagon - No, a regular octagon cannot be used to create a regular tessellation. The interior angle of a regular octagon is 135 degrees, and this does not evenly divide into 360 degrees.

C. Regular hexagon - Yes, a regular hexagon can be used to create a regular tessellation. When three regular hexagons meet at a point, they fill up 360 degrees without any gaps.

D. Square - Yes, a square can be used to create a regular tessellation. When four squares meet at a point, they fill up 360 degrees without any gaps.

E. Regular heptagon - No, a regular heptagon cannot be used to create a regular tessellation. The interior angle of a regular heptagon is approximately 128.57 degrees, and this does not evenly divide into 360 degrees.

So, the correct answers are A. Equilateral triangle, C. Regular hexagon, and D. Square.

Knowee AI · Accepted Answer

A regular tessellation, also known as a regular tiling, is a pattern made by repeating a regular polygon. For a polygon to tessellate, it must be able to fit around a point without any gaps.

A. Equilateral triangle - Yes, an equilateral triangle can be used to create a regular tessellation. When six equilateral triangles meet at a point, they fill up 360 degrees without any gaps.

B. Regular octagon - No, a regular octagon cannot be used to create a regular tessellation. The interior angle of a regular octagon is 135 degrees, and this does not evenly divide into 360 degrees.

C. Regular hexagon - Yes, a regular hexagon can be used to create a regular tessellation. When three regular hexagons meet at a point, they fill up 360 degrees without any gaps.

D. Square - Yes, a square can be used to create a regular tessellation. When four squares meet at a point, they fill up 360 degrees without any gaps.

E. Regular heptagon - No, a regular heptagon cannot be used to create a regular tessellation. The interior angle of a regular heptagon is approximately 128.57 degrees, and this does not evenly divide into 360 degrees.

So, the correct answers are A. Equilateral triangle, C. Regular hexagon, and D. Square.

Which of the following can be used to create a regular tessellation?Check all that apply.A.Equilateral triangleB.Regular octagonC.Regular hexagonD.SquareE.Regular heptagonSUBMITarrow_backPREVIOUS

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