Final answer:
The dilation ratio for triangle QRS after dilation to form triangle Q'R'S', with Q'R' being 9 and QR being 3, is 3 to 1.
Step-by-step explanation:
The student asked what the dilation ratio is for a triangle QRS that was dilated to form triangle Q'R'S'. Given that the length of QR is 3 and the length of Q'R' is 9, the dilation ratio is found by dividing the length of Q'R' by the length of QR.
To find the dilation ratio, you use the following formula:
Dilation Ratio = Length of Q'R' / Length of QR
Substituting the given lengths:
Dilation Ratio = 9 / 3
Dilation Ratio = 3
Therefore, the dilation ratio is 3 to 1, which means that triangle Q'R'S' is three times larger than triangle QRS.