2018 USAJMO Problems/Problem 3
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Problem
() Let
be a quadrilateral inscribed in circle
with
. Let
and
be the reflections of
over lines
and
, respectively, and let
be the intersection of lines
and
. Suppose that the circumcircle of
meets
at
and
, and the circumcircle of
meets
at
and
. Show that
.
Solution 1
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See also
2018 USAJMO (Problems • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 4 | |
1 • 2 • 3 • 4 • 5 • 6 | ||
All USAJMO Problems and Solutions |