Answer:
A (0,3)
Step-by-step explanation:
The given trapezoid has vertices:
(0,6), (7,12), (7,9) and (0,12).
We want to choose from the given options, a point that is a vertex for the image produced by a dilation about the origin with a scale factor of 1/2.
Note that the mapping for such a dilation is:
[tex](x,y)\to( \frac{1}{2} x, \frac{1}{2} y)[/tex]
This implies that:
[tex](0,6)\to(0,3)[/tex]
[tex](7,12)\to(3.5,6)[/tex]
[tex](7,9)\to(3.5,4.5)[/tex]
[tex](0,12)\to(0,6)[/tex]
Therefore correct choice is (0,3)
