Select the coordinates A’ and B’ after dilation of the line, segment AB, with a scale factor of two centered at the origin, where the end points are A (3,7) and B (4,9).

Question

Select the coordinates A’ and B’ after dilation of the line, segment AB, with a scale factor of two centered at the origin, where the end points are A (3,7) and B (4,9).

Answer 1

To find the coordinates after dilation, we multiply the coordinates of each point by the scale factor.

For point A (3,7):
The x-coordinate of A' = 3 * 2 = 6
The y-coordinate of A' = 7 * 2 = 14
Therefore, A' = (6,14)

For point B (4,9):
The x-coordinate of B' = 4 * 2 = 8
The y-coordinate of B' = 9 * 2 = 18
Therefore, B' = (8,18)

So, the coordinates A' and B' after dilation are A' = (6,14) and B' = (8,18).