Question

translate the triangle.
then enter the new coordinates.
a(?,)
b (,)
c (,)
<-3,9>

Explanation:

Step1: Understand translation rule

A translation of \(\langle - 3,9
angle\) means subtract \(3\) from the \(x\) - coordinate and add \(9\) to the \(y\) - coordinate of each point.
For point \(A(3,4)\):
\(x\) - coordinate: \(3+( - 3)=0\)
\(y\) - coordinate: \(4 + 9=13\)

Step2: For point \(B(4,2)\)

\(x\) - coordinate: \(4+( - 3)=1\)
\(y\) - coordinate: \(2 + 9=11\)

Step3: For point \(C(1,2)\)

\(x\) - coordinate: \(1+( - 3)=-2\)
\(y\) - coordinate: \(2 + 9=11\)

Answer:

\(A'(0,13)\), \(B'(1,11)\), \(C'(-2,11)\)