Final answer:
To find the ordered pair of point n', multiply the x-coordinate and y-coordinate of point n by the scale factor. The correct answer is (-2/5, 0).
Step-by-step explanation:
To find the ordered pair of point n', we need to consider the scale factor of the dilation. The problem states that the hexagon is dilated by a scale factor of two fifths from the origin. This means that for every 1 unit in the original hexagon, the corresponding unit in the dilated hexagon is 2/5 units.
The ordered pair of point n' can be found by multiplying the x-coordinate and y-coordinate of point n in the original hexagon by the scale factor. Given that the coordinates of point n are (-1, 0), we can calculate the coordinates of n' as (-1 * 2/5, 0 * 2/5), which simplifies to (-2/5, 0).
Therefore, the correct answer is (-2/5, 0).