Point A(2, 5) is dilated from the origin with scale factor 3 , resulting in point A′ . Darius says the coordinates of point A′ are (6, 15) . Marcia says the coordinates of point A′ are (4, 13) . Who is correct?

It actually doesn't matter! The key thing is that the dilation value affects the distance between two points. As in the first example (dilation by a factor of 3), A is originally 1 unit down from P and 2 units to the left of P.

1*3 = 3, so A' (the dilated point) should be 3 units down from P.

2*3 = 6, so A' should be 6 units to the left of P.

It doesn't matter if you go left first or down first, because you always determine the location of A' with respect to P based on the location of A (which doesn't move) with respect to P.

Step-by-step explanation:

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