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Question

In isosceles ΔPQR, PQ = QR, M is the mid point of QR. LM ⊥ PQ, MN ⊥ PR. By which criterion of congruency is ΔQLM ≅  ΔMNR. 


  1. AAS

  2. SSS

  3. SAS

  4. RHS


Solution

The correct option is A

AAS


∠LQ = ∠MNR,

∠Q = ∠R

QM = MR,

Hence, ΔQLM ≅ ΔMNR (by AAS)

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