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

Question

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

Explanation:

Step1: Find the \(x -\)coordinate change

Take a vertex, say \(A\). Let \(A=(x_1,y_1)\) and \(A'=(x_2,y_2)\). Suppose \(A = (- 8,-9)\) and \(A'=(6,6)\).
The change in \(x -\)coordinate: \(\Delta x=x_2 - x_1=6-(-8)=6 + 8 = 14\)

Step2: Find the \(y -\)coordinate change

The change in \(y -\)coordinate: \(\Delta y=y_2 - y_1=6-(-9)=6 + 9 = 15\)

Answer:

\((x,y)\to(x + 14,y+15)\)