Which regular polygon can be used to form a tessellation?
Pretty much anyone? Maybe a triangle is more suitable.
Not sure exactly what type of tessellation though.
REGULAR TESSELLATIONS: •RULE #1: The tessellation must tile a floor (that goes on forever) with no overlapping or gaps. •RULE #2: The tiles must be regular polygons - and all the same. •RULE #3: Each vertex must look the same. http://www.coolmath4kids.com/tesspag1.html
Start with the regular polygon of 3 sides, the equilateral triangle. Each interior angle of the regular triangle has measure 60. If you place 6 of these triangles together at a point, 60 times 6 = 360 and the regular triangles form a tessellation.
Then, move to the 4-sided regular polygon, the square. Each interior angle has measure 90. 90 times 4 = 360. So, squares can tessellate the plane.
Now, it is your turn to test whether regular pentagons tessellate the plane. Get the measure of one interior angle of the regular pentagon and proceed as above. Then, move to the regular hexagon. See http://www.coolmath4kids.com/tesspag1.html for diagrams. So far, regular triangles and squares tessellate the plane. There is at least one other regular polygons that will tessellate the plane.
@barrazapris15
hexagon decagon octagon pentagon these are the answer choices
Let's consider this: hexagon Each interior angle is 60. 60 times 6 = 360 and the hexagon will tessellate the plane.
so the answer is hexagon
Join our real-time social learning platform and learn together with your friends!