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 endpoints are A(3, 7) and B(4, 9)
To find the coordinates A' and B' after dilation of the line segment AB with a scale factor of 2, centered at the origin, we need to multiply the coordinates of A and B by the scale factor.
A'(x, y) = (2 * x, 2 * y)
B'(x, y) = (2 * x, 2 * y)
Let's calculate the coordinates:
For point A:
A'(x, y) = (2 * 3, 2 * 7)
A'(x, y) = (6, 14)
For point B:
B'(x, y) = (2 * 4, 2 * 9)
B'(x, y) = (8, 18)
Therefore, the coordinates A' and B' after dilation of the line segment AB with a scale factor of 2, centered at the origin, are A'(6, 14) and B'(8, 18).