Given ABC with vertices at A(2, 1), B(-9, 6), and C(5, - 6), and if the triangle is dilated with a scale factor of , find the coordinates of B'.
Question
Given ABC with vertices at A(2, 1), B(-9, 6), and C(5, - 6), and if the triangle is dilated with a scale factor of , find the coordinates of B'.
Solution
To find the coordinates of B' after dilation, we need to multiply each coordinate of B by the scale factor.
The original coordinates of B are (-9, 6).
If the scale factor is k, the new coordinates B'(x', y') will be:
x' = k * x = k * -9 y' = k * y = k * 6
So, the coordinates of B' after dilation will be (-9k, 6k).
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