Question
Line AB contains point A (-4, 1) and point B (-1, 3). Find the coordinates of A' and B' after a dilation with a scale factor of 2 with a center point of dilation at the origin
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GPT 3.5
To find the coordinates of A' and B' after a dilation with a scale factor of 2 and a center point of dilation at the origin, we can multiply the x and y coordinates of points A and B by the scale factor.
For point A (-4, 1), the x-coordinate becomes (-4) * 2 = -8 and the y-coordinate becomes 1 * 2 = 2. Therefore, the coordinates of A' are (-8, 2).
For point B (-1, 3), the x-coordinate becomes (-1) * 2 = -2 and the y-coordinate becomes 3 * 2 = 6. Therefore, the coordinates of B' are (-2, 6).
So, the coordinates of A' are (-8, 2) and the coordinates of B' are (-2, 6).
For point A (-4, 1), the x-coordinate becomes (-4) * 2 = -8 and the y-coordinate becomes 1 * 2 = 2. Therefore, the coordinates of A' are (-8, 2).
For point B (-1, 3), the x-coordinate becomes (-1) * 2 = -2 and the y-coordinate becomes 3 * 2 = 6. Therefore, the coordinates of B' are (-2, 6).
So, the coordinates of A' are (-8, 2) and the coordinates of B' are (-2, 6).
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