Select the coordinates A and B after dilation of the line segments AB with a scale factor of 2, centered at the origin where the endpoints are A (3, 7) and B (4, 9).

Question

Select the coordinates A and B after dilation of the line segments AB with a scale factor of 2, centered at the origin where the endpoints are A (3, 7) and B (4, 9).

Answer 1

To perform a dilation centered at the origin with a scale factor of 2, we multiply the coordinates of each point by the scale factor. Therefore:

The coordinates of point A after dilation are (3*2, 7*2) = (6, 14).
The coordinates of point B after dilation are (4*2, 9*2) = (8, 18).

Therefore, after the dilation of the line segment AB with a scale factor of 2 centered at the origin, the coordinates of point A become (6, 14) and the coordinates of point B become (8, 18).