Answer:
B. -4
Step-by-step explanation:
When dilation is not about the origin then in order to find the scalar factor, we need to find the ratio of the corresponding lengths.
2 Vertices of smaller triangle (Pre-image):
Length of side:
Since distance is always positive so its 2 units.
2 Vertices of bigger triangle(Image):
Length of side:
Since distance is always positive so its 8 units.
For the given figure we see that the dilated image is rotated 180° from the original position. Thus, for such dilation the scalar factor is taken negative.
Thus the scalar factor can be calculated as:
Scalar factor =
Scalar factor =-4
