2009 USAMO Problems/Problem 5
Problem
Trapezoid , with
, is inscribed in circle
and point
lies inside triangle
. Rays
and
meet
again at points
and
, respectively. Let the line through
parallel to
intersects
and
at points
and
, respectively. Prove that quadrilateral
is cyclic if and only if
bisects
.
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See Also
2009 USAMO (Problems • Resources) | ||
Preceded by Problem 4 |
Followed by Problem 6 | |
1 • 2 • 3 • 4 • 5 • 6 | ||
All USAMO Problems and Solutions |