For Individual or Group Explorations
Describing Regular
The equilateral
a) Write a system of inequalities whose graph consists of all points on and inside the equilateral triangle.
b) Write a system of inequalities whose graph consists of all points on and inside a square inscribed in x2 +y2 = 1. Position the square in any manner that you choose.
c) Write a system of inequalities whose graph consists of all points on and inside a regular pentagon inscribed in x2 + y2 = 1. You will need trigonometry for this one.
d) Write a system of inequalities whose graph consists of all points on and inside a regular hexagon inscribed in x2 + y2 = 1.
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