Question

Triangle MNP will be dilated according to the rule D(5,−2), where point M is the center of dilation. What will be the coordinates of vertex N' of the image?

A. (0,−26)
B. (4,4)
C. (5,−2)
D. (0,0)

Answer 1

Without the scale factor or the original position of N, we cannot calculate the coordinates of N'. If M was the original position of N, then N' remains at (5, -2) after dilation.

Step-by-step explanation:

The question asks about the dilation of a triangle using the rule D(5,-2). When the point M is the center of dilation, and M itself is dilating to a new point, it would logically remain at M since dilation is a transformation that moves each point along a line from the center of dilation. Therefore, if the point M is the center, it stays in its position, and vertex N', after the dilation, would be transformed based on the scale factor implied by the dilation rule given. There's, unfortunately, a lack of information regarding the original position of N and the scale factor, which are essential to find the coordinates of N'. However, if M was N, then N' would stay the same as M because dilation does not move the center point. In that special case, N' would be at the center which is (5, -2).