What is the transformation of a(4,6) when dilated with a scale factor of 2, using the point (2,1) as the center of dilation? a. a '(0, -4) b. a '(6, 11) c. a '(8, 12) d. a '(5, 8)

Option B

Step-by-step explanation:

Given that the point A(4,6) is dilated with a scale factor of 2

about the point O(2,1) as centre of dilation

This implies that the new point A' will lie on the lineOA with distance equal to double of OA.

Or A will be the mid point of OA' and AA' will have same slope as OA

Considering the above two conditions we find that

Option A cannot be right.

Option B:  Midpoint of OA' = (4,6) matches with given

Slope of AA'=

= slope of OA

Thus option B satisfies both

So answer is B