X Statement 8.1.4 The quadrilateral below is a rhombus Statement Reason SUP Reason
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A rhombus is a quadrilateral with all four sides of equal length. Show more…
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Three vertices of a parallelogram PQRS are shown: Q(8,5), R(5,1), and S(2,5). Place statements and reasons in the table to complete the proof that shows that parallelogram PQRS is a rhombus. Statement Reason SR = 5 Pythagorean Theorem SR = QR Substitution Property of Equality SR ≅ QR Definition of congruent line segments PS ≅ QR Opposite sides of a parallelogram are congruent Parallelogram PQRS is a rhombus Definition of a rhombus QR = 5 PQ = RS RS = 5 QR = PS Opposite Sides of a Parallelogram are Congruent Pythagorean Theorem
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