Question

△abc is the image of △abc under a translation. determine the translation. use non - negative numbers. a translation by 7 units to the left and 5 units up

Explanation:

Step1: Analyze horizontal movement

Pick a point, say \(A(2,-4)\) and \(A'(- 5,1)\). The \(x\) - coordinate of \(A\) is \(2\) and of \(A'\) is \(-5\). To get from \(2\) to \(-5\), we move \(2-(-5)=7\) units to the left.

Step2: Analyze vertical movement

The \(y\) - coordinate of \(A\) is \(-4\) and of \(A'\) is \(1\). To get from \(-4\) to \(1\), we move \(1 - (-4)=5\) units up.

Answer:

A translation by 7 units to the left and 5 units up.