Question

The first Lemoine circle is the circumcircle of one of these shapes. (-5[1])Pascal’s (-5[1])theorem (-5[1])describes the (15[1])intersection of this shape’s sides when inscribed in a conic section. (15[1])“Three root three (-5[1])over two times side length squared” gives the area for a regular one of these shapes. (15[1]-5[1])This shape is the least-sided polygon that does not form the faces of a platonic solid. (15[1])Only squares, triangles, and (*) these (-5[1])shapes tessellate the plane. Placing two (10[1])isosceles trapezoids along their longest side (10[1])will create these shapes. These shapes contain (10[1])internal angles of 120 degrees each, which sum to 720 degrees. For 10 points, name this polygon with six sides. (10[1])■END■ (10[3])

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