Question

question 3 of 20
what is the transformation of c(9, 3) when dilated by a scale factor of 3, using the origin as the center of dilation?
a. c(-9, -3)
b. c(9, 3)
c. c(3, 1)
d. c(27, 9)

Explanation:

Step1: Recall dilation formula

For a point $(x,y)$ dilated by scale factor $k$ with origin as center, new point is $(kx,ky)$.

Step2: Substitute values

Here $x = 9$, $y = 3$, $k=3$. So new $x=3\times9 = 27$, new $y=3\times3 = 9$.

Answer:

D. C'(27, 9)