Q. 148

In Fig. 6.50, which pairs of triangles are congruent by SAS congruence criterion (condition)? If congruent, write the congruence of the two triangles in symbolic form.








Answer :

(i) QR = SU


QP = TU


Q = U


Hence; both triangles are congruent by SAS criterion


Δ PQR Δ TUS


(ii) JK = MN


JL≠NO


J = N


Hence; both triangles are not congruent by SAS criterion


(iii) AB = BC


AE = CD


A = C


Hence; both triangles are congruent by SAS criterion


Δ EAB Δ DCB


(iv) TS = XZ


TU = YZ


T = Z


Hence; both triangles are congruent by SAS criterion


Δ STU Δ XZY


(v) OD = OH


OF = OC


FOD = COH


Hence; both triangles are congruent by SAS criterion


Δ FOD Δ COH


(vi) AB = DE


AC≠DF


A = D


Hence; both triangles are not congruent by SAS criterion


(vii) SP = QR


SQ = SQ


PSQ = RQS


Hence; both triangles are congruent by SAS criterion


Δ PSQ Δ RQS


(viii) LM = OM


MN = MN


LMN = OMN


Hence; both triangles are congruent by SAS criterion


Δ LMN Δ OMN


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