Answer:
\((4,2)\)
Step-by-step explanation:
We have been given that triangle HIJ has coordinates \(H(-1,1)\), \(I(1,4)\) and \(J(1,3)\). We are asked to find the coordinate of point I after a translation of 3 units to the right and 2 units down.
The translation of 3 units to right means that we need to add 3 to x-coordinates.
The translation of 2 units down means that we need to subtract 2 from y-coordinates.
\(H(-1,1)\rightarrow H'(-1+3,1-2)=H'(2,-1)\)
\(I(1,4)\rightarrow I'(1+3,4-2)=I'(4,2)\)
\(J(1,3)\rightarrow J'(1+3,3-2)=I'(4,1)\)
Therefore, the coordinates of point I' after translation would be \((4,2)\).
