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Question Number 64309 by aseer imad last updated on 16/Jul/19

Commented by Tony Lin last updated on 17/Jul/19

$$let{A}^{\prime }=A-(1,3)=(0,0),C^{\prime }=C-(1,3)=(4,5)$$$$D^{\prime }\Rightarrow \frac{\sqrt{2}}{2}(4+5i)(cos\frac{\pi }{4}+isin\frac{\pi }{4})=-\frac{1}{2}+\frac{9}{2}i$$$$\Rightarrow D=(1,3)+(-\frac{1}{2},\frac{9}{2})=(\frac{1}{2},\frac{15}{2})$$$$B^{\prime }\Rightarrow \frac{\sqrt{2}}{2}(4+5i)(cos\frac{\pi }{4}-isin\frac{\pi }{4})=\frac{9}{2}+\frac{1}{2}i$$$$\Rightarrow B=(1,3)+(\frac{9}{2},\frac{1}{2})=(\frac{11}{2},\frac{7}{2})$$

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