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:
[tex](x,y)[/tex] → [tex](kx,ky)[/tex]
It is given that rectangle ABCD is dilated by a scale factor of 1/2 with a center of dilation at the origin, then:
[tex](\frac{1}{2}x,\frac{1}{2}y)[/tex]
The coordinates of B are (-4,6). So, the coordinates of B:
[tex]B(-4,6)[/tex] → [tex]B(\frac{1}{2}(-4),\frac{1}{2}(6)[/tex]
[tex]B(-4,6)[/tex] → [tex]B(-2,3)[/tex]
The coordinates of B → (-2/3)
Hence, -2/3 is the correct answer.
[RevyBreeze]
