Question

Select the coordinates A' B' after the dilation of the line segment AB with a scale factor of 1/3 centered at the origin where the endpoints are A(-6,3) and B(_12,9)

Answer 1

To find the coordinates A' and B' after the dilation of line segment AB with a scale factor of 1/3 centered at the origin, we need to multiply the x and y coordinates of each point by the scale factor.

Given A(-6,3), the coordinates of A' can be found as follows:

x-coordinate of A' = (1/3) * x-coordinate of A = (1/3) * (-6) = -2
y-coordinate of A' = (1/3) * y-coordinate of A = (1/3) * 3 = 1

Therefore, the coordinates of A' are (-2,1).

Similarly, given B(12,9), the coordinates of B' can be found as follows:

x-coordinate of B' = (1/3) * x-coordinate of B = (1/3) * 12 = 4
y-coordinate of B' = (1/3) * y-coordinate of B = (1/3) * 9 = 3

Therefore, the coordinates of B' are (4,3).