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2 July, 21:29

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

+1
Answers (1)
  1. 3 July, 01:19
    0
    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.
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