in the figure R is the mid-point to PQ and Q is the mid-point of RS. Verify that PR = QS
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Given : R is the mid-point to PQ
Q is the mid-point of RS.
To Find : Verify that PR = QS
Solution:
Let say PQ = 2X
R is the mid-point to PQ
=> PR = QR = PQ/2
=> PR = QR = 2X/2
=> PR = QR = X
Q is the mid-point of RS.
=> QR = QS = RS/2
QR = X
=> QS = RS/2 = X
=> QS = X
PR = QR = QS = X
=> PR = QS
QED
Hence proved
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