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To find the vertex of point A' after dilation, we first need to find the coordinates of A′.
We know that when a point is dilated with a scale factor of 1.5, the x-coordinate and y-coordinate are both multiplied by the scale factor.
The coordinates of A are (4, 3).
Multiplying both coordinates by 1.5, we get:
x-coordinate of A′ = 4 * 1.5 = 6
y-coordinate of A′ = 3 * 1.5 = 4.5
Therefore, the vertex of point A′ is A′(6, 4.5).
So the correct option is:
A′(6, 4.5)