The coordinates of the vertices of a quadrilateral are given in the figure.
It is required to find the coordinates of the vertices of the figure
after the given transformation: T<-5,-2>.
Notice from the figure that the coordinates of the vertices of the figure before transformation are:
[tex]X(2,-1),V(1,2),E(4,1),K(5,-3)[/tex]
The transformation T<-5,-2> is a translation of 5 units to the left and 2 units down.
To find the coordinates after transformation, add -5 to the x-coordinates and -2 to the y-coordinates.
The coordinates after translation are:
[tex]\begin{gathered} X^{\prime}(2-5,-1-2),V^{\prime}(1-5,2-2),E^{\prime}(4-5,1-2),K^{\prime}(5-5,-3-2) \\ =X^{\prime}(-3,-3),V^{\prime}(-4,0),E^{\prime}(-1,-1),K^{\prime}(0,-5) \end{gathered}[/tex]
The answer is option D.
