Question

the figure below has a point marked with a large dot. first, translate the figure 5 units to the right. then, give the coordinates of the marked point in the original figure and the final figure. point in original figure: (1, 1) point in final figure: (6, 1)

Explanation:

Step1: Recall translation rule

For a translation of a point $(x,y)$ $a$ units to the right, the new - coordinate is $(x + a,y)$. Here $a = 5$.

Step2: Identify original point

The original point is given as $(1,1)$.

Step3: Calculate new point

Using the rule $(x,y)\to(x + 5,y)$, substituting $x = 1$ and $y = 1$, we get $(1+5,1)=(6,1)$.

Answer:

Point in original figure: $(1,1)$
Point in final figure: $(6,1)$