Question

1. look at the coordinates of the triangles, what do you notice? 4) each x - coordinate of △abc is 3? x - coordinate corresponding? y - coordinate abc,

Explanation:

Step1: Analyze x - coordinates

For point \(A\): \(-2+3 = 1\) (from \(A(-2,3)\) to \(A'(1,3)\))
For point \(B\): \(0 + 3=3\) (from \(B(0,4)\) to \(B'(3,4)\))
For point \(C\): \(1+3 = 4\) (from \(C(1,1)\) to \(C'(4,1)\))
Each \(x\) - coordinate of \(\triangle A'B'C'\) is \(3\) more than the corresponding \(x\) - coordinate of \(\triangle ABC\).

Step2: Analyze y - coordinates

For point \(A\): \(3=3\) (from \(A(-2,3)\) to \(A'(1,3)\))
For point \(B\): \(4 = 4\) (from \(B(0,4)\) to \(B'(3,4)\))
For point \(C\): \(1=1\) (from \(C(1,1)\) to \(C'(4,1)\))
Each \(y\) - coordinate of \(\triangle A'B'C'\) is equal to the corresponding \(y\) - coordinate of \(\triangle ABC\).

Answer:

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