Answer: 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 [tex]k[/tex] 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:
[tex]3k=9[/tex]
[tex]k=3[/tex]
[tex]2k=6[/tex]
[tex]k=3[/tex]
The scale factor is 3.
