Look at the figure below: Triangle ABC has measure of angle ABC equal to 90 degrees. E is a point on the hypotenuse AC such that the segment BE is perpendicular to AC. D is a point outside the triangle on the right of E so that triangle EDC has the measure of angle EDC equal to 90 degrees.

Which triangle is similar to triangle AEB?

Triangle CDE
Triangle BAC
Triangle BEC
Triangle CED