Question

translate the triangle. then enter the new coordinates. a(-2,2) b(-1,-2) c(2,-1) hint: calculate the x - value of a < - 4,5 > submit answer

Explanation:

Step1: Translate point A

To translate a point \((x,y)\) by the vector \(\langle a,b
angle\), we use the formula \((x + a,y + b)\). For point \(A(-2,2)\) and \(\langle - 4,5
angle\), the \(x\)-coordinate is \(x=-2+(-4)=-6\), and the \(y\)-coordinate is \(y = 2 + 5=7\).

Step2: Translate point B

For point \(B(-1,-2)\) and \(\langle - 4,5
angle\), the \(x\)-coordinate is \(x=-1+(-4)=-5\), and the \(y\)-coordinate is \(y=-2 + 5 = 3\).

Step3: Translate point C

For point \(C(2,-1)\) and \(\langle - 4,5
angle\), the \(x\)-coordinate is \(x=2+(-4)=-2\), and the \(y\)-coordinate is \(y=-1 + 5=4\).

Answer:

\(A'(-6,7)\), \(B'(-5,3)\), \(C'(-2,4)\)