Question

Under a dilation, the point (6, 18) is moved to (3,9). What is the scale factor of the dilation?

Answer 1

Answer: The answer is $\dfrac{1}{2}.$

Step-by-step explanation: Given that the point (6, 18) is dilated to the point (3, 9). We are to find the scale factor of the dilation.

We know that to find the scale factor when one point on a coordinate plane is dilated to another point, we need to divide either the first coordinate or the second coordinate of the dilated point by the corresponding coordinate of the original point.

Therefore, if we consider the first coordinate of both the points, then the scale factor will be

$S=\dfrac{3}{6}=\dfrac{1}{2}.$.

Thus, the answer is $\dfrac{1}{2}.$