Final answer:
The transformation rule (w+5, z) translates the point (w, z) by 5 units to the right horizontally, with no change in the vertical position, making the correct answer C.) a translation of 5 units to the right.
Step-by-step explanation:
The question involves understanding the nature of a geometric transformation applied to a point in the coordinate system. When a point (w, z) is transformed according to the given rule (w+5, z), it means that the w-coordinate of the point, which corresponds to the horizontal position on the x-axis, is increased by 5 units. This transformation moves the point horizontally to the right side of the coordinate system, while the z-coordinate remaining the same implies that there is no vertical movement.
The correct type of transformation that occurred is C.) a translation of 5 units to the right.