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Given: 2PQ = PR
Prove: Q is the midpoint of line PR
Statement: 2PQ = PQ + QR
Reason: ???

Sagot :

Discipulusidn

Answer:

Given: 2PQ = PR

Prove: Q is the midpoint of line PR

Statement: 2PQ = PQ + QR

Step-by-step explanation:

If Q is the midpoint of PR then

PR = PQ + QR [by segment addition postulate]

2PQ = PR [given]

2PQ = PQ + QR

2PQ-PQ = PQ + QR-PQ [by subtracting PQ from both sides]

PQ = QR

[tex] \because[/tex] Q lies on PR and PQ = QR

[tex] \therefore[/tex] Q is the midpoint of PR

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