Given below are two statements:

Statement I: The maximum number of sides that a triangle might have when clipped to a rectangular viewport is $6$.

Statement II: In $3D$ graphics, the perspective transformation is nonlinear in $z$.

In light of the above statements, choose the correct answer from the options given below.

When a triangle is clipped against a rectangular viewport, new vertices may be created at clipping boundaries.

A triangle has $3$ sides initially.

After clipping with a rectangle, the resulting polygon can have at most $6$ sides.

So, Statement I is true.

In $3D$ graphics, perspective transformation involves division by depth value $z$.

Because of this division by $z$, the transformation is not linear in $z$.

So, Statement II is also true.

Hence, both Statement I and Statement II are true.