Answer:The rule that best represents the dilation applied to triangle KLM to create triangle K’L’M’ is A: (x, y) → (1.5x, 1.5y).
When a figure is dilated, each point of the original figure is multiplied by a scale factor to determine the corresponding point on the dilated figure. In this case, the scale factor is 1.5.
Let's take an example to understand this. Suppose we have a point K with coordinates (2, 3) in triangle KLM. Applying the dilation rule A, we multiply the x-coordinate by 1.5 and the y-coordinate by 1.5 to get the corresponding point K' in triangle K’L’M’. So, (2, 3) becomes (1.5 * 2, 1.5 * 3), which is (3, 4.5).
Similarly, we can apply the same dilation rule to each point of triangle KLM to find the corresponding points in triangle K’L’M’.
Therefore, option A: (x, y) → (1.5x, 1.5y) represents the dilation that was applied to triangle KLM to create triangle K’L’M’.