Question

Every _____ tessellates decagon, octagon, pentagon, triangle

Answer 1

Well.. I know the definition of tessellates can help us figure out the answer..

A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps.

I know we can do this with triangles.

My guess would be triangles.

Good Luck! <3

Answer 2

Answer:

Every triangle tessellates.

Step-by-step explanation:

There are only three regular polygons that tessellate - equilateral triangles, squares and regular hexagons. Tessellation is an arrangement of closely fitted polygons without overlapping.

Only equilateral triangles tessellate out of the given options. For a tessellation to be possible, the interior angle of the polygon must divide 360 degrees evenly.

The internal angle of equilateral triangle is 60 degrees and it completely divides 360 degrees.

$\frac{360}{60}=6$

So, triangles is the answer.