Question

$\overline{bc}$ is a translation of $\overline{bc}$. write the translation rule.
$(x, y) \mapsto \left(x + \square, y + \square\
ight)$

Explanation:

Step1: Find the coordinates of points

Find the coordinates of \(B\), \(C\), \(B'\), \(C'\). Assume \(B(-1,-4)\), \(C(-9,-8)\), \(B'(9,3)\), \(C'(1,-1)\).

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

For \(x\)-coordinate: \(\Delta x\) for \(B\) to \(B'\) is \(9-(-1)=10\), \(\Delta x\) for \(C\) to \(C'\) is \(1 - (-9)=10\).

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

For \(y\)-coordinate: \(\Delta y\) for \(B\) to \(B'\) is \(3-(-4)=7\), \(\Delta y\) for \(C\) to \(C'\) is \(-1-(-8)=7\).

Answer:

\((x,y)\to(x + 10,y+7)\)