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Geometry Problem 1128: Right Triangles, Medians, Parallel, Angles, Congruence, Half the measure. Level: High School, SAT Prep, Honors Geometry, College, Math Education

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The figure below shows right triangles ABC and A1B1C1 so that medians BM and B1M1 are parallel. BA and B1A1 meet at D, BC and C1B1 meet at E, and C1A1 and AC meet at G. If F is on the extension of C1E, prove that angle ADA1 = angle CEF = half the measure of angle CGC1.
 

Infographic Geometry problem 1128 Right Triangles, Medians, Parallel, Angles, Congruence, Half the measure
 

 

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Last updated: Jul 6, 2015 by Antonio Gutierrez.