Question

find the coordinates of the figure with the given coordinates after the transformation on the plane. preimage: ( j(-3,0), k(-2,4), l(-1,0) ) image: triangle ( qrs ), translation of ( jkl ) along the vector ( langle 5,-4
angle )

Explanation:

Step1: Apply translation to point \(J(-3,0)\)

For a translation vector \(\langle5,-4
angle\), add \(5\) to the \(x -\)coordinate and \(- 4\) to the \(y -\)coordinate.
\(x=-3 + 5=2\), \(y = 0+( - 4)=-4\)

Step2: Apply translation to point \(K(-2,4)\)

\(x=-2 + 5 = 3\), \(y=4+( - 4)=0\)

Step3: Apply translation to point \(L(-1,0)\)

\(x=-1 + 5=4\), \(y=0+( - 4)=-4\)

Answer:

\(Q(2,-4)\), \(R(3,0)\), \(S(4,-4)\)