Question

1. points r and p are vertices of a polygon, qrsp, which was translated to create polygon qrsp. determine the coordinates of p given the location of r, r, and p: r(-1,15), r(-3,28), p(6,-7), p(-2,13), p(4,6), p(-8,-35), p(-4,-13), clear all

Explanation:

Step1: Find translation rule

Translation rule for \(x\)-coordinate: \(x\) - coordinate of \(R'\) minus \(x\) - coordinate of \(R\).
\(-3-(-1)=-3 + 1=-2\)
Translation rule for \(y\)-coordinate: \(y\) - coordinate of \(R'\) minus \(y\) - coordinate of \(R\).
\(28 - 15 = 13\)
The translation rule is \((x,y)\to(x-2,y + 13)\)

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

For point \(P(6,-7)\), new \(x\)-coordinate: \(6-2 = 4\)
New \(y\)-coordinate: \(-7+13 = 6\)

Answer:

\(P'(4,6)\)