Final answer:
To find the coordinates of the vertices of the polygon after dilation, multiply each coordinate of the original polygon by the scale factor.
Step-by-step explanation:
To find the coordinates of the vertices of polygon H'J'K'L' after polygon HJKL is dilated, you need to multiply each coordinate of the original polygon by the scale factor. Let's assume the scale factor is 'k'. So, the coordinates of H' will be (k * the x-coordinate of H, k * the y-coordinate of H), and so on for J', K', and L'.
For example, if the coordinates of H are (x1, y1) and the scale factor is 2, then the coordinates of H' will be (2x1, 2y1). Repeat this process for the other vertices to find the coordinates of J', K', and L'.
Remember to keep the same order when writing the coordinates of the new vertices, for example, if H is the first vertex, H' should also be the first vertex in the new polygon.