Question

abcd is the image of abcd under a dilation. write the coordinates of the center of dilation.

Explanation:

Step1: Recall dilation property

The center of dilation is the point of intersection of the lines connecting corresponding vertices.

Step2: Draw lines

Draw lines from $A$ to $A'$, $B$ to $B'$, $C$ to $C'$ and $D$ to $D'$.

Step3: Find intersection

By observing the graph, the lines connecting corresponding vertices intersect at the point $(5, - 5)$.

Answer:

$(5,-5)$