Question

what are the coordinates of the center of dilation shown?
the center of dilation is
(type an ordered pair.)

Explanation:

Step1: Recall the definition of the center of dilation

The center of dilation is the fixed point about which all points are expanded or contracted.

Step2: Analyze the graph

On a coordinate - plane, for a dilation, we can find the center by looking for the point that remains the same in both the original and the dilated figure.

Let's assume the original figure has vertices \(A\), \(B\), \(C\) and the dilated figure has vertices \(A'\), \(B'\), \(C'\). If we consider the lines connecting corresponding vertices (e.g., \(AA'\), \(BB'\), \(CC'\)), the intersection point of these lines is the center of dilation.

By observing the graph (assuming standard coordinate - plane with \(x\) and \(y\) axes), if we consider the properties of dilation, we can see that the center of dilation is the point \((12,16)\)

Answer:

\((12,16)\)