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4. triangle abc was transformed to create triangle edk. describe the tr…

Question

  1. triangle abc was transformed to create triangle edk. describe the transformation used to create triangle edk, and represent the transformation using coordinate notation. (x,y) → ( choose the correct answer - choose the correct answer - ) - choose the correct answer -

Explanation:

Step1: Find the translation rule for \(x\)-coordinate

Take a corresponding pair of points, say \(C(-2,-10)\) and \(K(-6,-2)\). The change in \(x\)-coordinate: \(-6-(-2)=-4\). Another pair \(B(8,-10)\) and \(D(4,-2)\), \(4 - 8=-4\).

Step2: Find the translation rule for \(y\)-coordinate

For the pair \(C(-2,-10)\) and \(K(-6,-2)\), the change in \(y\)-coordinate: \(-2-(-10) = 8\). For the pair \(B(8,-10)\) and \(D(4,-2)\), \(-2-(-10)=8\).

The translation rule is \((x,y)\to(x - 4,y+8)\)

Answer:

\((x,y)\to(x - 4,y + 8)\)