MathDB
Tangent line

Source: Mexico National Olympiad 2014

November 11, 2014
geometryrectanglegeometric transformationreflectionnumber theorygeometry unsolvedtrigonometry

Problem Statement

Problem 4
Let ABCDABCD be a rectangle with diagonals ACAC and BDBD. Let EE be the intersection of the bisector of ∠CAD\angle CAD with segment CDCD, FF on CDCD such that EE is midpoint of DFDF, and GG on BCBC such that BG=ACBG = AC (with CC between BB and GG). Prove that the circumference through DD, FF and GG is tangent to BGBG.
Back to ProblemsView on AoPS