7. NCERT | Congruence of Triangles | Figure it Out | Pg.20 | Q2

Each of the following cases contains certain measurements taken from two triangles. Identify the pairs in which the triangles are congruent to each other, with a reason. Write the congruence whenever they are congruent.

 

(a) Measurements: \(MN = PQ\), \(NO = QR\), \(OM = PR\)

 

(i) Diagrammatic Representation of the given measurements:

 

 

(ii) The two triangles are  Not CongruentCongruent

(iii) The congruence condition applied is RHSSASSSASSSAAS

(iv) The symbolic form of congruence is \(\triangle MNO \cong \triangle PQR\)\(\triangle MNO \cong \triangle RPQ\)\(\triangle MNO \cong \triangle QRP\)Not necessarily congruent\(\triangle MNO \cong \triangle PQR\)

 

(b) Measurements: \(MN = PR\), \(\angle N = \angle P = 90^\circ\), \(MO = RQ\)

 

(i) Diagrammatic Representation of the given measurements:

 

(ii) The two triangles are Not CongruentCongruent

(iii) The congruence condition applied is AASSASSSASSSRHS

(iv) The symbolic form of congruence is \(\triangle MNO \cong \triangle QRP\)\(\triangle MNO \cong \triangle RPQ\)Not necessarily congruent\(\triangle MNO \cong \triangle PQR\)\(\triangle MNO \cong \triangle PQR\)