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Line segment AB has endpoints A (−6, 4) and B (−8, 2) . Find the coordinates of A′ and B′ after a dilation with a scale factor...Question
Line segment AB has endpoints A (−6, 4) and B (−8, 2) . Find the coordinates of A′ and B′ after a dilation with a scale factor of 1/2 , centered at the origin.(1 point)
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Answered by
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Determine the scale factor used in the dilation of line segment AB , centered at the origin.
Answered by
GPT 3.5
To find the coordinates of A' and B' after a dilation with a scale factor of 1/2 centered at the origin, we can multiply the coordinates of A and B by the scale factor.
A' = (1/2) * A = (1/2) * (-6, 4) = (-6/2, 4/2) = (-3, 2)
B' = (1/2) * B = (1/2) * (-8, 2) = (-8/2, 2/2) = (-4, 1)
Therefore, the coordinates of A' are (-3, 2) and the coordinates of B' are (-4, 1).
A' = (1/2) * A = (1/2) * (-6, 4) = (-6/2, 4/2) = (-3, 2)
B' = (1/2) * B = (1/2) * (-8, 2) = (-8/2, 2/2) = (-4, 1)
Therefore, the coordinates of A' are (-3, 2) and the coordinates of B' are (-4, 1).
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