Difference between revisions of "2022 USAJMO Problems/Problem 4"
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Revision as of 20:37, 19 April 2022
Problem
Let be a rhombus, and let
and
be points such that
lies inside the rhombus,
lies outside the rhombus, and
. Prove that there exist points
and
on lines
and
such that
is also a rhombus.