SOLUTION: Which of the following is true if a pentagon tessellates a plane?
a. A pentagon never tessellates a plane
b. All of its sides must be the same length
c. It must be a regular pen
Algebra ->
Pythagorean-theorem
-> SOLUTION: Which of the following is true if a pentagon tessellates a plane?
a. A pentagon never tessellates a plane
b. All of its sides must be the same length
c. It must be a regular pen
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Question 446057: Which of the following is true if a pentagon tessellates a plane?
a. A pentagon never tessellates a plane
b. All of its sides must be the same length
c. It must be a regular pentagon
d. It has one pair of parallel slides Answer by richard1234(7193) (Show Source):
You can put this solution on YOUR website! It is possible for a pentagon to tessellate a plane. Draw a "house" shaped pentagon:
Place several of these side by side, same orientation, then reflect the pentagon to tessellate the plane. Given this, we know that statements a and c need not be true.
The ability to tessellate the plane was not dependent on the sides being the same length either, so choice b is not true either. This leaves the only remaining choice, d.
A greater challenge: Can you prove that statement d must be true, without using process of elimination?
