1. In Fig 7.14, lengths of the sides of the triangles are indicated. By applying the SSS congruence rule, state which pairs of triangles are congruent. In case of congruent triangles, write the result in symbolic form:

             

             

Answers (1)

i) Since 

AB = PQ

BC = QR

CA = PR

So, by SSS congruency rule both triangles are congruent to each other.

\Delta ABC \cong\Delta PQR

 

ii) Since,

ED = MN

DF = NL 

FE = LM

So, by SSS congruency rule both triangles are congruent to each other.

\Delta EDF\cong\Delta MNL.

 

iii) Since 

AC = PR 

BC = QR But

AB\neq QR

So the given triangles are not congruent.

 

iv) Since,

AD = AD 

AB = AC 

BD = CD 

So, By SSS Congruency rule, they both are congruent to each other.

\Delta ADB\cong\Delta ADC.

 

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