Answer: Choice C
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Step-by-step explanation:
Point P is the center of dilation. So it does not move for any dilation applied as long as its stays as the center of course.
The scale factor 4/3 = 1.33 approx means that point A's distance from P will be scaled 1.33 times larger. In other words
(A'P)/(AP) = 4/3 = 1.33
Points B' and C' are also further away than their counterparts, with relation to the center point P.
All of this means the image triangle A'B'C' is larger compared to its preimage triangle ABC.
What results is what you see in diagram C
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Side notes:
- Diagram A is not correct because point B hasn't moved when it should have.
- Diagram B is not correct because the image triangle is smaller when it should be larger compared to its preimage
- Diagram D is not correct because B hasn't moved