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The diagram is shown below what happens when you dilate with a scale factor 2/3, and the center of dilation is D.
Line A'B' has the same slope of AB, so the lines are parallel.
Line AD and line A'D' are the same line, since D = D'. Recall that the center of dilation does not move when applying a dilation. Point A moves to A', which is one line AD. Due to D being at the center, all lines from the center will connect the four points shown.
