2019 IMO Problems/Problem 2
In triangle , point
lies on side
and point
lies on side
. Let
and
be points on segments
and
, respectively, such that
is parallel to
. Let
be a point on line
, such that
lies strictly between
and
, and
. Similarly, let
be the point on line
, such that
lies strictly between
and
, and
.
Prove that points , and
are concyclic.