The points (x_1, y_1), (x_2, y_2), (x_1, y_2) | vedclass

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(B) The given points are $(x_1, y_1), (x_2, y_2), (x_1, y_2),$ and $(x_2, y_1)$.These points represent the vertices of a rectangle with sides parallel

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concyclic

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(B) The given points are $(x_1, y_1), (x_2, y_2), (x_1, y_2),$ and $(x_2, y_1)$.These points represent the vertices of a rectangle with sides parallel to the coordinate axes.Any rectangle is a cyclic quadrilateral because the sum of opposite angles is $180^{\circ}$.Alternatively,these points satisfy the equation of a circle with diameter endpoints $(x_1, y_1)$ and $(x_2, y_2)$ given by $(x - x_1)(x - x_2) + (y - y_1)(y - y_2) = 0$.Since all four points lie on this circle,they are concyclic.

The points $(x_1, y_1), (x_2, y_2), (x_1, y_2),$ and $(x_2, y_1)$ are always:

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