Question

DZ,2 of X is

(0, -4)
(2, -2)
(6, 2)

Answer 1

the above awnser is correct i got ir right on oddesyware

Answer 2

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

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.