AMC 10 2000 Problem 19

Through a point on the hypotenuse of a right triangle, lines are drawn parallel to the legs of the triangle so that the triangle is divided into a square and two smaller right triangles. The area of one of the two small right triangle is m times the area of the square. The ratio of the area of the other small right triangle to the area of the square is

Answer Choices
A. \dfrac{1}{2 m+1}
B. m
C. 1-m
D. \dfrac{1}{4 m}
E. \dfrac{1}{8 m^{2}}