2022 IMO Problems/Problem 4
Contents
[hide]Problem
Let be a convex pentagon such that . Assume that there is a point inside with , and . Let line intersect lines and at points and , respectively. Assume that the points occur on their line in that order. Let line intersect lines and at points and , respectively. Assume that the points occur on their line in that order. Prove that the points lie on a circle.
Video Solution
https://www.youtube.com/watch?v=-AII0ldyDww [Video contains solutions to all day 2 problems]
https://youtu.be/WpM0mLyPyLg?si=yi9AZPVdYSPMCcHa [Video Solution by little fermat]
Solution
is cyclic is cyclic.
vladimir.shelomovskii@gmail.com, vvsss
See Also
2022 IMO (Problems) • Resources | ||
Preceded by Problem 3 |
1 • 2 • 3 • 4 • 5 • 6 | Followed by Problem 5 |
All IMO Problems and Solutions |