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If the quadrilateral formed by the lines \( a x+b y+c=0 \), \( a^{\prime} x+b^{\prime} y+c=0, a x+b y+c^{\prime}=0, a^{\prime} x+b^{\prime} y+c^{\prime}=0 \) has perpendicular diagonals, then
(A) \( b^{2}+c^{2}=b^{\prime 2}+c^{\prime 2} \)
(B) \( a^{2}+b^{2}=a^{\prime 2}+b^{2} \)
(C) \( c^{2}+a^{2}=c^{2}+a^{\prime 2} \)
(D) none of these
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