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Step-by-step explanation:
PQ=PR ------(given)
1/PQ=1/PR
NQ=MR
QR=QR---------(common)
angle NQR= angle MRQ-------(isoceles triangle)
therefore triangle NQR congruent to triangle MRQ
by SAS congruency criteria
therefore QM = RN (cpct)
PM = PN ---------(1/2PQ = 1/2 PR)
PQ = PR----------(given)
angle p = angle p --------(common)
therefore triangle PMQ congruent to triangle PNR by SAS congruency criteria
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