Consider a Triangle defined by its three vertices: A $(2,2),$ B $(10,2),$ C $(5,5).$ Perform the following transformations on the triangle:

a$)$ Translate the triangle by $(5,6).$

b$)$ Scale the triangle by a factor of $2$ with respect to the origin.

c$)$ Rotate the triangle by $90$ degrees.

d$)$ Reflect the triangle about the line y $=$ x$.(12$M$)$