Question

question 7 of 25
you cannot tessellate six - sided regular polygons by themselves.
a. true
b. false

Explanation:

Step1: Calculate the interior angle of a regular hexagon

The formula for the interior angle of a regular polygon is \(\theta=\frac{(n - 2)\times180^{\circ}}{n}\), where \(n = 6\) (for a hexagon).

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Step2: Check tessellation condition

For a regular polygon to tessellate, \(360^{\circ}\) must be divisible by the interior angle. Since \(\frac{360^{\circ}}{120^{\circ}} = 3\), regular hexagons can tessellate.

Answer:

B. False