Given a segment with the following endpoints:
You know that you must perform a Dilation centered at the Origin, using this scale factor:
[tex]k=2[/tex]
Then, in order to dilate the segment, you need to multiply the coordinates of each endpoint by the scale factor:
[tex]\begin{gathered} (9,6)\rightarrow(9\cdot2,6\cdot2)=(18,12) \\ (9,6)\rightarrow(9\cdot2,9\cdot2)=(18,18) \end{gathered}[/tex]
Knowing the endpoints of the Image, you can draw it.
Hence, the answer is:
