Mathematics Use the information provided to answer Part A through Part D for question 37. One method that can be used to prove that the diagonals of a parallelogram bisect each other is shown in the given partial proof. Given: Quadrilateral PQRS is a parallelogram Prove: PT = RT ST = QT Statements Reasons 1. Quadrilateral PQRS is a parallelogram 1. Given 2. PQ || SR PS |I QR 3. ZPQS ZRSQ ZQPR ZSRP 2. Definition of parallelogram 3. 4. 4. Opposite sides of a parallelogram are congruent 5. ASRTQPT 5. 6. PT RT ST=QT 6. Corresponding parts of congruent triangles are congruent 7. PT - RT ST = QT 7. Definition of congruent line segments Unit 3

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