Question

look at the coordinates of the triangles. what do you notice? each of △abc is corresponding abc.

Explanation:

Step1: Analyze the x - coordinates

For point \(A(-2,3)\) and \(A'(1,3)\), \(-2 + 3=1\). For point \(B(0,4)\) and \(B'(3,4)\), \(0 + 3=3\). For point \(C(1,1)\) and \(C'(4,1)\), \(1+3 = 4\).

Step2: Analyze the y - coordinates

For point \(A(-2,3)\) and \(A'(1,3)\), \(3=3\). For point \(B(0,4)\) and \(B'(3,4)\), \(4 = 4\). For point \(C(1,1)\) and \(C'(4,1)\), \(1=1\).

Answer:

Each \(x -\) coordinate of \(\triangle A'B'C'\) is \(3\) more than the corresponding \(x -\) coordinate of \(\triangle ABC\), and the \(y -\) coordinates are the same.