Given,
The coodinates of the points are P(7,7).
The scale factor is 1/2.
The coordinates of center of dilation is (1,3).
In the operation described here, it is the vector (center of dilation→ similar point) that will get multiplied by a factor 1/2.
The vector from the centre (1,3) to point (7,7) has coordinates (7,7) - (1,3)
[tex]((7-1),(7-3))=(6,3)[/tex]
Now, dilated the coordinates by the scale factor of 1/2 then,
[tex]\frac{1}{2}(6,3)=(3,\frac{3}{2})[/tex]
Image of the point is at,
[tex]\begin{gathered} (3,\frac{3}{2})=(3+1,\frac{3}{2}+3) \\ =(4,\frac{9}{2}) \end{gathered}[/tex]
Hence, the coordinates of the image is (4,9/2).
