Answer:
N'(4, 5)
Step-by-step explanation:
The correct question is attached.
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, dilation and translation.
Dilation is a transformation that changes the size of a figure (i.e. it increases or reduces the size).
If a point A(x, y) is dilated by a factor k, the new point is at A'(kx, ky).
The location of the polygon vertex is at M(-16, 12), N(8, 10), P(-6, 8) and Q(-8, -8).
After dilation, the new location of M is at M'(-8, 6)
M(-16, 12) ⇒ M'(-8, 6)
M(-16, 12) ⇒ M'[1/2(-16), 1/2(12)]
Hence the dilation factor is 1/2. This means that the new vertex is at:
N'(4, 5), P'(-3, 4) and Q'(-4, -4).