Answer:
A. (-2,3)
Step-by-step explanation:
Rectangle ABCD is dilated by a scale factor of 1/2.
Scale factor of k with a center of dilation at the origin:
→ ![(kx,ky)](https://tex.z-dn.net/?f=%28kx%2Cky%29)
It is given that rectangle ABCD is dilated by a scale factor of 1/2 with a center of dilation at the origin, then:
![(\frac{1}{2}x,\frac{1}{2}y)](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B2%7Dx%2C%5Cfrac%7B1%7D%7B2%7Dy%29)
The coordinates of B are (-4,6). So, the coordinates of B:
→ ![B(\frac{1}{2}(-4),\frac{1}{2}(6)](https://tex.z-dn.net/?f=B%28%5Cfrac%7B1%7D%7B2%7D%28-4%29%2C%5Cfrac%7B1%7D%7B2%7D%286%29)
→ ![B(-2,3)](https://tex.z-dn.net/?f=B%28-2%2C3%29)
The coordinates of B → (-2/3)
Hence, -2/3 is the correct answer.
[RevyBreeze]