Question

1. after dilating a point (3,5) by a factor of 3, what will its new coordinates be? a. (3,5) b. (9,15) c. (12,20) d. (6,10)

Explanation:

Step1: Recall dilation rule

When dilating a point $(x,y)$ by a factor $k$, the new coordinates are $(kx,ky)$.

Step2: Apply dilation

Given point $(3,5)$ and $k = 3$. New $x$-coordinate is $3\times3=9$, new $y$-coordinate is $3\times5 = 15$.

Answer:

B. $(9,15)$