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QUESTION IMAGE

cd is a translation of cd. write the translation rule. (x, y)→(x+□,y+)

Question

cd is a translation of cd. write the translation rule. (x, y)→(x+□,y+)

Explanation:

Step1: Find x - translation

Count the horizontal shift from a point on $\overline{CD}$ to its corresponding point on $\overline{C'D'}$. Let's take point $C$. Assume $C$ has coordinates $(x_1,y_1)$ and $C'$ has coordinates $(x_2,y_2)$. By observing the graph, if we assume $C$ is around $(- 2,-7)$ and $C'$ is around $(6,6)$. The change in $x$ is $x_2 - x_1=6-(-2)=8$.

Step2: Find y - translation

Count the vertical shift from a point on $\overline{CD}$ to its corresponding point on $\overline{C'D'}$. Using the same points $C$ and $C'$, the change in $y$ is $y_2 - y_1=6 - (-7)=13$.

Answer:

$(x,y)\to(x + 8,y + 13)$