Question

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

Explanation:

Step1: Analyze horizontal movement

Let's take a vertex, say \(A\). If \(A=(2,-4)\) and \(A'=(- 5,1)\). The change in the \(x - \)coordinate is \(\vert2-(-5)\vert = 7\). Since the \(x\) - coordinate of \(A'\) is less than that of \(A\), it moves 7 units to the left.

Step2: Analyze vertical movement

The change in the \(y - \)coordinate of point \(A\) from \(A=(2,-4)\) to \(A'=(-5,1)\) is \(\vert-4 - 1\vert=5\). Since the \(y\) - coordinate of \(A'\) is greater than that of \(A\), it moves 5 units up.

Answer:

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