center E and scale factor of 1/4 (option B)
Step-by-step explanation:
The two shapes are similar. The ratio of corresponsding sides are equal.
Scale factor = new length/original length
DEFG is the original image
D'E'F'G' is the new image
original length = EF = 2 + 6 = 8
new length = E'F' = 2
Scale factor = 2/8
Scale factor = 1/4
The centre of both shapes is at E
Hence, the answer is center E and scale factor of 1/4 (option B)