Complete the chart for the given regular polygons, and determine if each shape tessellates:
?
Regular PolygonDegree Measurement
Per Interior Angle
Number of Regular Polygons
Per Full Revolution
equilateral triangle 60? 6square
90? 4 regular hexagon ?
?
A. ?A regular hexagon has an interior angle of 120?, and 4 polygons per full revolution. Therefore, it tessellates.
B. ?A regular hexagon has an interior angle of 120?, and 3 polygons per full revolution. Therefore, it does not tessellate.
C. ?A regular hexagon has an interior angle of 120?, and 3 polygons per full revolution. Therefore, it tessellates.
D. ?A regular hexagon has an interior angle of 135?, and 2 2/3 polygons per full revolution. Therefore, it tessellates.
E. ?A regular hexagon has an interior angle of 135?, and 2 2/3 polygons per full revolution. Therefore, it does not tessellate.
Answer: C
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C.
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