Question

Find the coordinates of the vertices of the figureafter the given transformation: T<-5,-2>.

Answer 1

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:

`X(2,-1),V(1,2),E(4,1),K(5,-3)`

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:

`\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}`The answer is option D.