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Line PQ has endpoints at P (-2,3) and Q (4,1). The center of dilation is (-1,4) and the scale factor is 2. What are the coordinates of the endpoints of P'Q'?
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Line PQ has endpoints at P (-2,3) and Q (4,1). The center of dilation is (-1,4) and the scale factor is 2. What are the coordinates of the endpoints of P'Q'?

User Hkasera
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1 Answer

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The dilation of line PQ to P'Q' is shown in the diagram below.

The trick is to double the distance from the centre of dilation to each point, P and Q to get the point P' and Q'

P' (-3, 2)
Q' (9, -2)


Line PQ has endpoints at P (-2,3) and Q (4,1). The center of dilation is (-1,4) and-example-1
User Jacanterbury
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