A-direct-similitude-of-center-transforms-point-A-into-point-A-and-point-B-into-point-B-Prove-that-there-existe-a-direct-similitude-of-center-which-transforms-A-and-B-into-A-and-B-

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

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

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