Final answer:
The question involves identifying the translation of a square within the coordinate system by recognizing movements to the right, left, up, and down along the axes.
Step-by-step explanation:
The student has asked about the translation of a square on the coordinate system. Understanding translation involves recognizing how a shape moves along the coordinate plane. Moving to the right indicates a horizontal translation in the positive direction of the x-axis, which could be described using term c.
'Horizontally to the right side of the coordinate system.' Moving up refers to a vertical translation in the positive direction of the y-axis, described by term a. 'Vertically upward in the coordinate system.' Conversely, moving down or to the left would be the negative directions of the y-axis or x-axis, respectively, using terms b. 'Vertically downward in the coordinate system' and d. 'Horizontally to the left side of the coordinate system'.