Question: show that in H^2, the isometry A in H^2 maps non-collinear points to non-collinear points (suppose we have 3 non-collinear points a,b,c in H^2, how

show that in H^2, the isometry A in H^2 maps non-collinear points to non-collinear points (suppose we have 3 non-collinear points a,b,c in H^2, how do we show that after A the points are still non-collinear)

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