Question

triangles nwg and nwg are shown on the coordinate grid where nwg is a transformation of △nwg. write the algebraic rule that will transform △nwg onto △nwg. (x,y)→(answer,answer)

Explanation:

Step1: Find the coordinates of corresponding points

Let's assume the coordinates of \(N\), \(W\), \(G\) are \(N(-4,-4)\), \(W(-2,-1)\), \(G(-6,2)\) and the coordinates of \(N'\), \(W'\), \(G'\) are \(N'(4,4)\), \(W'(2,1)\), \(G'(6, - 2)\)

Step2: Determine the transformation rule

For the \(x\)-coordinate: \(-4\to4\), \(-2\to2\), \(-6\to6\). The rule for the \(x\)-coordinate is \(x\to - x\)
For the \(y\)-coordinate: \(-4\to4\), \(-1\to1\), \(2\to - 2\). The rule for the \(y\)-coordinate is \(y\to - y\)

Answer:

\((x,y)\to(-x,-y)\)