MathDB
0 points on 0 point geo

Source: LMAO 2024 P3

June 1, 2024
geometrylmao

Problem Statement

Let Δ0\Delta_0 be an equilateral triangle with incircle ω\omega. A point on ω\omega is reflected in the sides of Δ0\Delta_0 to obtain a new triangle Δ1\Delta_1. The same point is then reflected over the sides of Δ1\Delta_1 to obtain another triangle Δ2\Delta_2. Prove that the circumcircle of Δ2\Delta_2 is tangent to ω\omega.
Proposed by Siddharth Choppara
Back to ProblemsView on AoPS