If $S$ belongs to the line $p$, prove that each of the isometrics $\rho_{S,\omega}$ ◦ $ \sigma_p$ and $ \sigma_p$ ◦ $\rho_{S,\omega}$ should be axial reflection.
Can anyone please help me with this proof?
2026-03-26 17:52:15.1774547535
Isometric transformation
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HINT.
The points of line $p_1=\rho_{S,\omega/2}(p)$ are fixed points under $\rho_{S,\omega} \circ \sigma_p$, while the points of line $p_2=\rho_{S,-\omega/2}(p)$ are fixed points under $ \sigma_p\circ\rho_{S,\omega}$.