Mathematics, 27.01.2021 23:20, econsta3
Use the diagonals to determine whether a parallelogram with vertices B(2,β2), E(6,β4), S(8,β8), and T(4,β6) is a rectangle, rhombus, or square. Give all the names that apply.
BS = TE, so BEST is a rectangle or a square. The slope of BS = β1 and the slope of TE = 1, so BS β₯ TE. BEST is a rhombus. Since BEST is a rectangle and a rhombus, it is also a square.
BS β TE, so BEST is neither a rectangle nor a square. The slope of BS = 1 and the slope of TE = 1, so the diagonals are not perpendicular. BEST is not a rhombus.
BS β TE, so BEST is neither a rectangle nor a square. The slope of BS = β1 and the slope of TE = 1, so BS β₯ TE. Therefore, BEST is a rhombus.
BS = TE, so BEST is a rectangle or a square. The slope of BS = β1 and the slope of TE = β1, so the diagonals are not perpendicular. Therefore, BEST is a rectangle.
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