MathDB
locus of intersection of perpendicular lines, cyclic given

Source: Ukrainian TST 1999 p1

February 13, 2020
geometryLocusperpendicularCyclic

Problem Statement

A triangle ABCABC is given. Points E,F,GE,F,G are arbitrarily selected on the sides AB,BC,CAAB,BC,CA, respectively, such that AF⊥EGAF\perp EG and the quadrilateral AEFGAEFG is cyclic. Find the locus of the intersection point of AFAF and EGEG.
Back to ProblemsView on AoPS