Question

dilate segment ab using a scale factor of 4 and the origin, (0, 0), as the center of dilation. then, record the coordinates of the points in the image.

Explanation:

Step1: Identify coordinates of A and B

Point A has coordinates $(3,3)$ and point B has coordinates $(0,3)$.

Step2: Apply dilation formula

The dilation formula with center at the origin $(0,0)$ and scale - factor $k$ is $(x,y)\to(kx,ky)$. Here $k = 4$.
For point A:
$x = 3,y = 3$, new coordinates are $(4\times3,4\times3)=(12,12)$.
For point B:
$x = 0,y = 3$, new coordinates are $(4\times0,4\times3)=(0,12)$.

Answer:

The coordinates of the image of A are $(12,12)$ and the coordinates of the image of B are $(0,12)$.