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 if dilation at the origin

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the coordinates of A' and B' after a dilation with a scale factor of 5 with the center point of dilation at the origin, we can use the following equations:

A' = (5 * AX, 5 * AY)
B' = (5 * BX, 5 * BY)

Given that point A has coordinates (1, 2) and point B has coordinates (-2, -1), we can substitute these values into the equations to find the coordinates of A' and B':

For point A':
YA' = 5 * 2 = 10
XA' = 5 * 1 = 5

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

For point B':
YB' = 5 * (-1) = -5
XB' = 5 * (-2) = -10

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

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