Line AB 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.(1 point)
To find the coordinates of A' and B' after a dilation with a scale factor of 5 and a center point of dilation at the origin, we need to multiply each coordinate by the scale factor.
For point A(1, 2):
The x-coordinate of A' = 1 * 5 = 5
The y-coordinate of A' = 2 * 5 = 10
Therefore, A' has the coordinates (5, 10).
For point B(-2, -1):
The x-coordinate of B' = -2 * 5 = -10
The y-coordinate of B' = -1 * 5 = -5
Therefore, B' has the coordinates (-10, -5).
The coordinates of A' and B' after the dilation are (5, 10) and (-10, -5), respectively.