Answer:
The coordinates of image are V'(12,4), W'(-4,8), X'(-6,-4) and Y'(6,-10).
Step-by-step explanation:
The coordinates of quadrilateral VWXY are V(6, 2), W(-2, 4), X(-3, -2) and Y(3, -5).
The center of dilation is not given.
Let the center of dilation be the origin.
If dilation factor is k and center of dilation is origin, then
[tex](x,y)\rightarrow (kx,ky)[/tex]
The scale factor is 2 and the center of dilation is origin. So,
[tex](x,y)\rightarrow (2x,2y)[/tex]
The coordinates of image are
[tex]V(6, 2)\rightarrow V'(12,4)[/tex]
[tex]W(-2, 4)\rightarrow W'(-4,8)[/tex]
[tex]X(-3, -2)\rightarrow X'(-6,-4)[/tex]
[tex]Y(3, -5)\rightarrow Y'(6,-10)[/tex]
Therefore the coordinates of image are V'(12,4), W'(-4,8), X'(-6,-4) and Y'(6,-10).
