Consider the points O=(0,0),A=(−2,0) and B=(0,2) in the coordinate plane. Let E and F be the midpoints of OA and OB respectively. We rotate the triangle OEF with a center in O clockwise until we obtain the triangle OE′F′ and, for each rotated position, let P=(x,y) be the intersection of the lines AE′ and BF′. Find the maximum possible value of the y-coordinate of P. geometryanalytic geometryrotationcoordinate geometrygeometric transformation