Question

DZ,2 of X is (0, -4) (2, -2) (6, 2)

Answer 1

Answer:

The correct option is 3. The image of X is X'(6,2).

Step-by-step explanation:

$D_{Z,2}$ means the dialation by scale factor 2 and the center of dilation is Z.

If a figure dilated by scale factor k and the center of dilation is (a,b), then

$(x,y)\rightarrow (k(x-a)+a,k(y-b)+b)$

From the given figure it is clear that the coordinates of X are (4,0) and the coordinates of Z are (2,-2), so the coordinates of image are

$X(4,0)\rightarrow X'(2(4-2)+2,2(0+2)-2)$

$X(4,0)\rightarrow X'(6,2)$

The image of X is X'(6,2). Therefore the correct option is 3.