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Question Number 94416 by Ar Brandon last updated on 18/May/20

$$\mathrm{A}\mathrm{direct}\mathrm{similitude}\mathrm{of}\mathrm{center},\mathrm{\Omega },\mathrm{transforms}\mathrm{point}\mathrm{A}\mathrm{into}\mathrm{point}{\mathrm{A}}^{\prime }$$$$\mathrm{and}\mathrm{point}\mathrm{B}\mathrm{into}\mathrm{point}{\mathrm{B}}^{\prime }.\mathrm{Prove}\mathrm{that}\mathrm{there}\mathrm{existe}\mathrm{a}$$$$\mathrm{direct}\mathrm{similitude}\mathrm{of}\mathrm{center},\mathrm{\Omega },\mathrm{which}\mathrm{transforms}\mathrm{A}\mathrm{and}\mathrm{B}\mathrm{into}{\mathrm{A}}^{\prime }\mathrm{and}{\mathrm{B}}^{\prime }.$$

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