Question

kaylee designs a logo for her art club, represented by figure stuvw. she enlarges the logo to form image stuvw. kaylee uses a scale factor of 3 with a center of dilation at the origin.
what are the coordinates of u?
use the number pad to enter your answers in the boxes.
u (□,□)

Explanation:

Step1: Find the coordinates of point U

From the graph, the coordinates of point U are \((5,4)\).

Step2: Apply the dilation formula

The formula for dilation with a scale factor \(k = 3\) and center at the origin \((x,y)\to(kx,ky)\).
Substitute \(x = 5\) and \(y = 4\) into the formula:
\(x'=3\times5 = 15\) and \(y'=3\times4=12\)

Answer:

\((15,12)\)