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
