An isopolygon is a polygon in which each interior angle is 60°, 120 contains only 60° angles. A rectangle is not an isopolygon as it contains 240°, or 300°. For example, an equilateral triangle is an i Isopolygons can be conveniently drawn on an isometric grid. For ex- ample, the diagram below shows an isoheptagon (a 7-sided isopolygon), with four 60° angles, one 240° angle, one 120° angle and one 300° angle. 90° angles. a Draw an isononagon (a 9-sided isopolygon) that has six 60° angles and three 300° angles. b Draw two different isopolygons each with four 240° angles and all other angles 120°. (Two isopolygons are different if one is not a rota- tion, reflection, magnification, or elongation of the other.) c If an isopolygon has four 240° angles and all its other angles are 120°, determine how many sides it has. d An isopolygon has five 60° angles and two 300° angles. Show that the number of 120° angles must be the same as the number of 240° angles.
An isopolygon is a
a Draw an isononagon (a 9-sided isopolygon) that has six 60° angles and three 300° angles.
b Draw two different isopolygons each with four 240° angles and all other angles 120°. (Two isopolygons are different if one is not a rota- tion, reflection, magnification, or elongation of the other.)
c If an isopolygon has four 240° angles and all its other angles are 120°, determine how many sides it has.
d An isopolygon has five 60° angles and two 300° angles. Show that the number of 120° angles must be the same as the number of 240° angles.
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