Question
Line AB 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
Answers
Answered by
GPT 3.5
To find the coordinates of A' and B' after the dilation, we need to multiply the coordinates of each point by the scale factor.
For point A (-4, 1):
x-coordinate of A' = (scale factor) * x-coordinate of A = 2 * (-4) = -8
y-coordinate of A' = (scale factor) * y-coordinate of A = 2 * (1) = 2
Therefore, the coordinates of A' are (-8, 2).
For point B (-1, 3):
x-coordinate of B' = (scale factor) * x-coordinate of B = 2 * (-1) = -2
y-coordinate of B' = (scale factor) * y-coordinate of B = 2 * (3) = 6
Therefore, the coordinates of B' are (-2, 6).
For point A (-4, 1):
x-coordinate of A' = (scale factor) * x-coordinate of A = 2 * (-4) = -8
y-coordinate of A' = (scale factor) * y-coordinate of A = 2 * (1) = 2
Therefore, the coordinates of A' are (-8, 2).
For point B (-1, 3):
x-coordinate of B' = (scale factor) * x-coordinate of B = 2 * (-1) = -2
y-coordinate of B' = (scale factor) * y-coordinate of B = 2 * (3) = 6
Therefore, the coordinates of B' are (-2, 6).
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