Question

translate the triangle.
then enter the new coordinates.
a(?,)
b(,)
c(,)
<-5,3>

Explanation:

Step1: Translate point A

To translate a point \((x,y)\) by the vector \(\langle - 5,3
angle\), we use the formula \((x',y')=(x - 5,y + 3)\). For point \(A(3,0)\), \(x = 3\) and \(y = 0\). Then \(x'=3-5=-2\) and \(y'=0 + 3=3\).

Step2: Translate point B

For point \(B(4,-2)\), \(x = 4\) and \(y=-2\). Using the formula \((x',y')=(x - 5,y + 3)\), we have \(x'=4-5=-1\) and \(y'=-2 + 3=1\).

Step3: Translate point C

For point \(C(1,-3)\), \(x = 1\) and \(y=-3\). Using the formula \((x',y')=(x - 5,y + 3)\), we get \(x'=1-5=-4\) and \(y'=-3 + 3=0\).

Answer:

\(A'(-2,3)\), \(B'(-1,1)\), \(C'(-4,0)\)