Answer:
A. (-2,3)
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://img.qammunity.org/2023/formulas/mathematics/college/c2zdql8qk6sz8pc9pt99wfa93wziy44pbx.png)
It is given that rectangle ABCD is dilated by a scale factor of 1/2 with a center of dilation at the origin, then:
![((1)/(2)x,(1)/(2)y)](https://img.qammunity.org/2023/formulas/mathematics/college/ecosamxoym5hvxquel52w7m74w1yi351d4.png)
The coordinates of B are (-4,6). So, the coordinates of B:
→
![B((1)/(2)(-4),(1)/(2)(6)](https://img.qammunity.org/2023/formulas/mathematics/college/rhwrirw36vedx47yqoelrdpq2u7qxmbexx.png)
→
![B(-2,3)](https://img.qammunity.org/2023/formulas/mathematics/college/g8mbkrt8q6snmifkdk0l9zzkrchq4d9jjg.png)
The coordinates of B → (-2/3)
Hence, -2/3 is the correct answer.
[RevyBreeze]