Which statements are true about tessellations?

Statement 1: A tessellation can be made entirely of congruent equilateral triangles

Statement 2: A tessellation can be made entirely of congruent regular hexagons

Statement 3: A tessellation can be made entirely of congruent regular pentagons

Statement 4: A tessellation can be made entirely of congruent squares

2 & 3 only

4 & 3 only

1, 2 & 4

1, 3 & 4

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.