Question

translate the triangle. then enter the new coordinates. a(?, ) b(, ) c(, ) <7, -1>

Explanation:

Step1: Translate point A

For point \(A(-5,2)\), add \(7\) to the \(x\)-coordinate and \(-1\) to the \(y\)-coordinate.
\(x=-5 + 7=2\), \(y = 2+( - 1)=1\)

Step2: Translate point B

For point \(B(-1,-4)\), add \(7\) to the \(x\)-coordinate and \(-1\) to the \(y\)-coordinate.
\(x=-1 + 7=6\), \(y=-4+( - 1)=-5\)

Step3: Translate point C

For point \(C(-6,-3)\), add \(7\) to the \(x\)-coordinate and \(-1\) to the \(y\)-coordinate.
\(x=-6 + 7=1\), \(y=-3+( - 1)=-4\)

Answer:

\(A'(2,1)\), \(B'(6,-5)\), \(C'(1,-4)\)