Question

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

Explanation:

Step1: Find x - translation

Observe the x - coordinates of corresponding points. Let's assume a point on $\overline{YZ}$ and its corresponding point on $\overline{Y'Z'}$. The x - coordinate of a point on $\overline{YZ}$ (e.g., for point $Y$ or $Z$) and its corresponding point on $\overline{Y'Z'}$ (e.g., $Y'$ or $Z'$). The x - coordinate of points on $\overline{YZ}$ is around - 6 and on $\overline{Y'Z'}$ is around 0. The change in x is $0-(-6)=6$.

Step2: Find y - translation

Observe the y - coordinates of corresponding points. The y - coordinate of a point on $\overline{YZ}$ (e.g., for point $Y$ or $Z$) is around - 5 and on $\overline{Y'Z'}$ is around 10. The change in y is $10 - (-5)=15$.

Answer:

$(x,y)\to(x + 6,y + 15)$