Select the coordinates A' and B' after dilation of the line segment AB with a scale factor of 2 centered at the origin where the points are A (3,7) and B (4,9)
To find the coordinates A' and B' after a dilation with a scale factor of 2 centered at the origin, we first need to calculate the vector from the origin to each point A and B.
The vector from the origin to point A is (3, 7) and from the origin to point B is (4, 9).
Next, we multiply each vector by the scale factor of 2:
A' = 2 * (3, 7) = (6, 14)
B' = 2 * (4, 9) = (8, 18)
Therefore, the coordinates A' are (6, 14) and the coordinates B' are (8, 18).