Question

Which statements are true about tessellations?

Answer 1

The correct answer is 1,3& 4.

A figure can tessellate only if its interior angle is a factor of 360.  For an equilateral triangle, each interior angle is 60°; 360÷60 = 6, so this works.

For a regular hexagon, each interior angle is (6-2)(180)/6=4(180)/6=720/6=120; 360÷120=3, so this works.

For a regular pentagon, each interior angle is (5-2)(180)/5=3(180)/5=540/5=108; 360÷108=3.3.  This does not divide evenly, so it does not work.

For a square, each interior angle is 90°; 360÷90=4, so this works.