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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.
In isosceles ΔPQR, PQ = QR, M is the mid point of QR. LM ⊥ PQ, MN ⊥ PR. By which criterion of congruency is ΔQLM ≅ ΔMNR.
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Solution
The correct option is A AAS
∠LQ = ∠MNR,
∠Q = ∠R
QM = MR,
Hence, ΔQLM ≅ ΔMNR (by AAS)
AAS
∠LQ = ∠MNR,
∠Q = ∠R
QM = MR,
Hence, ΔQLM ≅ ΔMNR (by AAS)
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