Final answer:
The coordinates of point C after a translation of (x, y) to (X - 10, Y - 1) would be (Cx - 10, Cy - 1), where (Cx, Cy) are the original coordinates of point C.
Step-by-step explanation:
The student has asked to name the coordinates of point C after a translation of (x, y) to (X - 10, Y - 1). In the context of Cartesian coordinate systems, a translation refers to shifting a point by a constant amount along the axes. If point C originally has coordinates (Cx, Cy), then after the translation, the new coordinates of C will be (Cx - 10, Cy - 1). This means we subtract 10 from the x-coordinate and 1 from the y-coordinate of point C to find its new position.
Translations are a foundational concept in understanding motions in a plane, especially in physics and engineering where displacement and vectors are frequently analyzed. Being able to perform and understand translations is crucial for problem-solving in various fields that use Cartesian coordinates for representing positions and movements.