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, we need to multiply the coordinates of A and B by the scale factor.
The coordinates of A' can be found by multiplying the x and y coordinates of point A by 2:
x-coordinate of A' = 3 * 2 = 6
y-coordinate of A' = 7 * 2 = 14
Therefore, A' has coordinates (6, 14).
Similarly, the coordinates of B' can be found by multiplying the x and y coordinates of point B by 2:
x-coordinate of B' = 4 * 2 = 8
y-coordinate of B' = 9 * 2 = 18
Therefore, B' has coordinates (8, 18).
So, 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)
B' (8, 18)