Answer:
The correct option is A.
Step-by-step explanation:
If a figure dilated by a scale factor of k with a center of dilation at the origin, then
\((x,y)\rightarrow (kx,ky)\)
It is given that rectangle ABCD is dilated by a scale factor of 1/2 with a center of dilation at the origin, so
\((x,y)\rightarrow (\frac{1}{2}x,\frac{1}{2}y)\)
The coordinates of B are (-4,6). So, the coordinates of B' are
\(B(-4,6)\rightarrow B'(\frac{1}{2}(-4),\frac{1}{2}(6))\)
\(B(-4,6)\rightarrow B'(-2,3)\)
The coordinates of B' are (-2,3), therefore option A is correct.
