Question

do you think figure $j$ is a dilation of figure $j$? yes no

Explanation:

Step1: Recall the property of dilation

Dilation is a transformation that changes the size of a figure but not its shape. Corresponding sides of the original figure and its dilation are proportional.

Step2: Analyze the sides of figure \(J\) and \(J'\)

For figure \(J\), assume we can count the lengths of its sides (using the grid). For example, if we consider the horizontal and vertical segments. Suppose one horizontal segment of \(J\) is \(2\) units long and one vertical segment is \(2\) units long. For figure \(J'\), if we check the corresponding segments (by visual inspection of the grid - assume a side that should be proportional). The ratios of the lengths of corresponding sides are not the same for all pairs of corresponding sides.

Answer:

No