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1. Q is the midpoint of PR       1. Given
2. PQ = QR                              2. Definition of midpoint of a segment
3. R is the midpoint o QS        3. Given
4. QR = RS                              4. Definition of midpoint of a segment
5. PQ + QR = QR + RS           5. Addition property of equality
6. PR = QS                              6. Segment addition postulate

Proving that PR = QS

  • Given: Q is the midpoint of PR

  • The midpoint of a segment: PQ = QR

  • Given: R is the midpoint of QS

  • The midpoint of a segment: PQ = QR

  • The addition property of Equality : QR + RS = PQ + QR

Therefore, PR = QS

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