MathDB

4

Part of 2010 Czech And Slovak Olympiad III A

Problems(1)

locus of intersections of non parallels isosceles trapezoids

Source: Czech And Slovak Mathematical Olympiad, Round III, A 2010 p4

1/31/2020
A circle kk is given with a non-diameter chord ACAC. On the tangent at point AA select point X≠AX \ne A and mark DD the intersection of the circle kk with the interior of the line XCXC (if any). Let BB a point in circle kk such that quadrilateral ABCDABCD is a trapezoid . Determine the set of intersections of lines BCBC and ADAD belonging to all such trapezoids.
geometrytrapezoidisosceles