6
QuizMultiple Choice

Tessellations

Question 6 • Mathematical Models with Applications - MA4072 CR

Determine whether the following regular polygon tessellates the plane. Explain.octagon

Answer
A
yes; measure or interior angle = 135
B
no; measure of interior angle = 135
C
yes; measure of interior angle = 45
D
no; measure of interior angle = 45

Explanation

A regular octagon has interior angle (8 − 2) × 180° ÷ 8 = 135°. For copies to meet around a point with no gaps or overlaps, the angle must divide 360° evenly. Since 360° ÷ 135° is not a whole number, regular octagons do not tessellate the plane by themselves. The correct choice is “no; measure of interior angle = 135°.”

AI-written and checked against the verified answer.

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