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?
1 answer:
Answer:
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
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