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

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Answer 1

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 can use the following formula:

A' = (5 * (xA - 0), 5 * (yA - 0))
B' = (5 * (xB - 0), 5 * (yB - 0))

Given that point A is (1, 2) and point B is (-2, -1), we can plug in the values to get:

A' = (5 * (1 - 0), 5 * (2 - 0))
A' = (5, 10)

B' = (5 * (-2 - 0), 5 * (-1 - 0))
B' = (-10, -5)

Therefore, the coordinates of A' are (5, 10) and the coordinates of B' are (-10, -5).