70-Some problem on the Simson's line

Let $ABC$ be a triangle, let three points $A',B',C'$ on the circumcircle, such that $AA'//BB'//CC'$. Then the triangle $A_0B_0C_0$ form(bounded) by three Simson line of $A',B',C'$ 

1-$A_0B_0C_0$ are similar and perpective with $ABC$. Which is the locus of perpector? 

2- The circumcenter and the orthocenter $A_0B_0C_0$ , also lie on the circle with diameter $X(3)X(4)$ center $X(5)$

3-I don't know when the $A_0B_0C_0$ become to a point, but I known $A_0B_0C_0$ become a point three time when we moved $A',B',C'$ on circumcircle(such that $AA'//BB'//CC'$), these points also lie on the circle with diameter $X(3)X(4)$ center $X(5)$