A) Explain how you know that every parallelogram will tessellate the plane. Drawing pictures to illustrate your thinking may be helpful.
B) Explain how you know that every triangle will tessellate the plane. Drawing pictures to illustrate your thinking may be helpful.
C) Explain how you know, without taking the time to draw it out accurately, why a regular pentagon cannot tessellate the plane.

Question

Quizplus · Accepted Answer

The Answer is A) You will likely get a drawing.
B) You will likely get a drawing-check that there is a clear, repeatable pattern.
C) Each angle of a regular pentagon has a size of 108°, and 108° angles will not fit together to make 360°.

A) Explain How You Know That Every Parallelogram Will Tessellate