Arectangle on the coordinate plane has vertices at (0,0), (3,0), (3,2), and (0,2). a dialation of the rectangle has vertices at (0,0), (9,0), (9,6), and (0,1). find the scale factor

The scale factor is 3.

Step-by-step explanation:

1. You kwnow that original rectangle has the following coordinates in its vertices:

 (0,0), (3,0), (3,2), and (0,2)

2. After dilation, the rectangle has vertices at (0,0), (9,0), (9,6), and (0,1). Therefore, you can calculate the scale factor as following:

Let's call the scale factor and let's choose one the coordinates of the original rectangle and the same coordinate after dilation:

Original vertex: (3,2) ; Vertex after dilation: (9,6)

Then:

The scale factor is 3.