Question

Select the coordinates A' and B' after dilation of the line segment AB with a scale factor of -, centered at the origin where the endpoints are A (-6, 3) and B(-12, 9).

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the coordinates A' and B' after dilation, we need to multiply the coordinates of A and B by the scale factor (-) and centered at the origin (0, 0).

The formula for dilation is: (x', y') = (kx, ky)

Let's calculate the coordinates A' first.
For point A (-6, 3), the coordinates after dilation are:
(x', y') = (-*(-6), -*(-3)) = (6, -3)

Therefore, A' has coordinates (6, -3).

Now, let's calculate the coordinates B'.
For point B (-12, 9), the coordinates after dilation are:
(x', y') = (-*(-12), -*(-9)) = (12, -9)

Therefore, B' has coordinates (12, -9).

So, the coordinates A' after dilation are (6, -3) and the coordinates B' after dilation are (12, -9).