Question: 2. Rectangle ABCD has vertices at A(0, 0), B(0, 1), C(4, 1), and D(4, 0). The points E and F are on the x-axis so

2. Rectangle ABCD has vertices at A(0, 0), B(0, 1), C(4, 1), and D(4, 0). The points E and F are on the x-axis so that AEAB is similar to ACDF (that is, ZEAB = ZCDF, ZEBA = ZCFD, and ZBEA = LFCD). Let P be the point of intersection of the lines extending EB and FC. Show that P lies on the circle of radius 2 centred at (2, 1). B C EA D

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