Question 102
Be $ABC$ a triangle with $AB \neq AC$ and in circle center point $I$. The incircle touch the $BC$, $CA$ or $AB$ at $D$, $E$ or $F$. Be the center of $EF$ $M$. The straight $AD$ cuts the incircle at $P \neq D$. Prove that $PMID$ is a tendon square.