Question

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)
Responses

Answer 1

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 multiply the coordinates of each point by the scale factor.

For point A (1, 2):
x-coordinate of A': 5 * 1 = 5
y-coordinate of A': 5 * 2 = 10

Therefore, A' has coordinates (5, 10).

For point B (-2, -1):
x-coordinate of B': 5 * -2 = -10
y-coordinate of B': 5 * -1 = -5

Therefore, B' has coordinates (-10, -5).