The diagonals of a quadrilateral ABCD are along the lines x-2y=1 and 4x+2y=3. The quadrilateral ABCD may be a

Explanation

The slope of the first diagonal line x-2y=1 is m_1 = 1/2. The slope of the second diagonal line 4x+2y=3 is m_2 = -4/2 = -2. Since m_1 m_2 = (1/2)(-2) = -1, the diagonals intersect at right angles. A quadrilateral with perpendicular diagonals can be a rhombus.

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