Question

p(square,square)

Explanation:

Step1: Determine the translation rule

Assume the translation is \( (x,y)\to(x + a,y + b)\). Let's take a known pair of points, say \(Q(-7,-1)\) and \(R(-3,-1)\) (assuming grid - based coordinates where each square is 1 unit). But if we consider the vertical and horizontal movements. Looking at \(Q\) and \(P\): \(Q(-7,-1)\) and \(P(-7,-5)\) (vertical movement). Looking at \(R\) and \(S\): \(R(-3,-1)\) and \(S(-3,-5)\) (vertical movement).
If we assume a translation of \( (x,y)\to(x,y - 4)\) (since the vertical distance between \(Q\) and \(P\) (or \(R\) and \(S\)) is \(|-1-(-5)| = 4\) units down).

Step2: Apply the translation rule to \(P\)

If \(P(-7,-5)\), and the translation is \( (x,y)\to(x,y - 4)\), then for a general translation (assuming the figure is translated in a way that if we consider the pattern of the rectangle. Let's re - check using the horizontal side. The length of \(QR\) (horizontal side) is \(|-3-(-7)|=4\) units. The length of \(PS\) is also \(4\) units. If we assume a translation of \( (x,y)\to(x + 10,y)\) (another way: count the number of units from the left - most \(x\) value to the right. But if we consider the fact that if we assume the center of the rectangle or use vector approach. Let's use the coordinate of \(P(-7,-5)\). If we assume the translation is \( (x,y)\to(x + 10,y)\) (counting the number of units from \(x=-7\) to the right - hand side \(x = 3\) (since the rectangle is symmetric in a translated sense).
\(x\) - coordinate of \(P\): \(-7+10 = 3\), \(y\) - coordinate of \(P\): \(-5+0=-5\)

Answer:

\((3,-5)\)