Question

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

Explanation:

Step1: Find the coordinates of points

Find the coordinates of \(E\), \(E'\), \(F\), and \(F'\). Let \(E(-2, - 1)\), \(E'(10,4)\), \(F(-9,-3)\), \(F'(2,2)\).

Step2: Calculate the change in \(x\) - coordinate

For the \(x\) - coordinate:
Take \(E\) and \(E'\): \(\Delta x=x_{E'}-x_{E}=10-(-2)=12\).
Take \(F\) and \(F'\): \(\Delta x=x_{F'}-x_{F}=2 - (-9)=12\).

Step3: Calculate the change in \(y\) - coordinate

For the \(y\) - coordinate:
Take \(E\) and \(E'\): \(\Delta y=y_{E'}-y_{E}=4-(-1)=5\).
Take \(F\) and \(F'\): \(\Delta y=y_{F'}-y_{F}=2-(-3)=5\).

Answer:

\((x,y)\to(x + 12,y + 5)\)