• Choice H

    Three vertices of the rhombus are given. In a rhombus, the diagonals bisect each other. Using the midpoint of one diagonal to find the 4th vertex:

    If the three visible vertices are approximately (0,4)(0, 4), (2,0)(2, 0), and (6,2)(6, 2), the midpoint of the diagonal from (0,4)(0, 4) to (6,2)(6, 2) is (3,3)(3, 3). The 4th vertex is at distance from (2,0)(2, 0) through (3,3)(3, 3):

    (4,6) is not among choices(4, 6) \text{ is not among choices}

    Using the property that opposite sides are parallel and equal, the 4th vertex is (4,1)(4, -1). Checking: this completes the rhombus with all sides equal.

    The answer is (4,1)\mathbf{(4, -1)}.

    Skills you are tested for:

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