Let I be the incenter of ΔA₀A₁A₂.

For i = 0, 1, and 2:

   Let M_i be the midpoint of the side opposite vertex A_i.

   Let S_i be the reflection of M_i about ray A_iI.

Prove that rays A₀S₀, A₁S₁, and A₂S₂, are concurrent.