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Step-by-step explanation:
Given: ΔAMP ≅ ΔAMQ
to prove: 1)PM = QM
2) ∠PMA = ∠QMA
3) AM = AM
4) ΔAMP ≅ ΔAMQ
proof: 1)PM = QM
as ΔAMP ≅ ΔAMQ,
therefore, PM = QM -1 (by CPCT)
2) ∠PMA = ∠QMA,
as ΔAMP ≅ ΔAMQ,
therefore , ∠PMA = ∠QMA -2 (by CPCT)
3) AM = AM
as in ΔAMP and ΔAMQ,
AM is common , so AM = AM -3 (by CPCT)
4) ΔAMP ≅ ΔAMQ
as already given in the question ,
therefore. ΔAMP ≅ ΔAMQ -4 (by CPCT)
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