Question

the figure below has a point marked with a large dot. first, translate the figure 5 units to the right and 6 units down. then, give the coordinates of the marked point in the original figure and the final figure.

Explanation:

Step1: Assume original point coordinates

Let the coordinates of the marked - point in the original figure be \((x,y)\).

Step2: Apply translation rule

The translation rule for moving a point 5 units to the right and 6 units down is \((x,y)\to(x + 5,y-6)\).

Answer:

Since the original - point coordinates are not given in the problem statement, assume the original point is \((a,b)\).
Point in original figure: \((a,b)\)
Point in final figure: \((a + 5,b-6)\)