Line segment AB had endpoints A (-6, 4) and B (-8, 2). Find the coordinates of A and B after a dilation with a scale factor of 1/2, centered at the origin.
To find the coordinates of A and B after a dilation with a scale factor of 1/2, centered at the origin, we need to multiply each coordinate by the scale factor.
For point A (-6, 4):
The x-coordinate of A after dilation = (-6) * (1/2) = -3
The y-coordinate of A after dilation = (4) * (1/2) = 2
Therefore, the coordinates of A after the dilation are (-3, 2).
For point B (-8, 2):
The x-coordinate of B after dilation = (-8) * (1/2) = -4
The y-coordinate of B after dilation = (2) * (1/2) = 1
Therefore, the coordinates of B after the dilation are (-4, 1).