If A(2, −1), B(5, −5), C(10, −5), and D(7, −1) are the vertices of a quadrilateral, do the points form a rhombus? A. No, it is not a rhombus because the slope of diagonal segment BD equals two and the slope of diagonal segment AC equals negative start fraction one over two end fraction full stop
B. Yes, it is a rhombus because the slope of diagonal segment BD equals two, and the slope of diagonal segment AC equals negative two full stop, and the diagonals bisect each other.
C. Yes, it is a rhombus because the midpoint of diagonals segment BD and segment AC is (6, −3).
D. Yes, it is a rhombus because the slope of diagonal segment BD equals two, the slope of diagonal segment AC equals negative start fraction one over two end fraction, and the diagonals bisect each other.