Given:
C(0, 3) and D(0, 7)
Scale factor of dilation = 3
Lt's find the length of CD if it is dilated about point C.
To find the length, apply the formula:
[tex]L=r\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
Where:
r is the scale factor = 3
L is the length of segment CD.
(x1, y1) ==> (0, 3)
(x2, y2) ==> (0, 7)
Thus, we have:
[tex]\begin{gathered} CD=3\sqrt{(0-0)^2+(7-3)^2} \\ \\ CD=3(\sqrt{4^2}) \\ \\ CD=3(4)=\text{ 12} \\ \end{gathered}[/tex]Therefore, the length of CD is 12
ANSWER:
12
