SAT problem of the week, September 22, 2014

Three right triangles

In the figure above, point, $latex C &s=1$ is the midpoint of line segment $latex \overline{AG} &s=1$ and point $latex E &s=1$ is the midpoint of line segment $latex \overline{CG} &s=1$. What is the ratio of the area of triangle $latex AED &s=1$ to the area of triangle $latex ACB &s=1$?

  1. $latex \dfrac{2}{1} &s=1$ (check answer)
  2. $latex \dfrac{2}{3} &s=1$ (check answer)
  3. $latex \dfrac{4}{9} &s=1$ (check answer)
  4. $latex \dfrac{3}{2} &s=1$ (check answer)
  5. $latex \dfrac{9}{4} &s=1$ (check answer)

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