Line a b contains point a ( 1, 2) and point B ( -2, -1). Find the coordinates of A and B after a dilation with a scale factor of 5 with a center point of dilation at the origin
To find the coordinates of A and B after a dilation with a scale factor of 5 with a center point of dilation at the origin, we can multiply each coordinate of each point by the scale factor.
For point A (1, 2):
x-coordinate of A after dilation = 1 * 5 = 5
y-coordinate of A after dilation = 2 * 5 = 10
So, the coordinates of A after dilation are (5, 10).
For point B (-2, -1):
x-coordinate of B after dilation = -2 * 5 = -10
y-coordinate of B after dilation = -1 * 5 = -5
So, the coordinates of B after dilation are (-10, -5).