Answer:
Here, the coordinates of the given rectangle are (1,2), (3,2), (1,-1) and (3,-1)
In the dilation by the scale factor k with centered at origin,
[tex](x,y)\rightarrow (kx,ky)[/tex]
Thus, If the dilation occurs by the scale factor of 2 with centered at origin,
New coordinates of the Rectangle are,
[tex](1,2)\rightarrow (2\times 1, 2\times 2)[/tex]
[tex](3,2)\rightarrow (2\times 3, 2\times 2)[/tex]
[tex](1,-1)\rightarrow (2\times 1, 2\times -1)[/tex]
[tex](3,-1)\rightarrow (2\times 3, 2\times -1)[/tex]
Thus, the coordinates of new rectangle are,
(2,4), (6,4), (2,-2) and (6,-2)
