Monday, May 19, 2008

Geometry Problem 98



See complete Problem 98
Quadrilateral Areas, Centroids, Similarity. Level: High School, SAT Prep, College geometry

Post your solutions or ideas in the comments.

2 comments:

  1. 1. Let the mid-pt of AD be M, MH:HB=MG:GC=1:2, so HG//BC, so are the others.

    2. considering the parallel sides, observe that ABCD is similar to FGHE. S1/S=(HG/BC)^2=(MH/MB)^2=(1/3)^2=1/9

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  2. (Remark for 2.)
    also require to consider ratio in order to prove the similarity

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