3. In Fig 7.24, measures of some parts of the triangles are indicated. By applying SAS congruence rule, state the pairs of congruent triangles, if any, in each case. In case of congruent triangles, write them in symbolic form.

           

Answers (1)

i) in \Delta ABC and \Delta DEF

AB = DE 

AC = DF

\angle A \neq \angle D

Hence, they are not congruent.

 

ii) In \Delta ACB and \Delta RPQ

AC = RP = 2.5 cm

CB = PQ = 3 cm 

\angle C = \angle P = 35^0

Hence by SAS congruency rule, they are congruent.

\Delta ACB \cong\Delta RPQ.

 

iii) In \Delta DFE and \Delta PQR

DF= PQ = 3.5 cm

FE= QR = 3 cm

\angle F = \angle Q

Hence, by SAS congruency rule, they are congruent.

\Delta DFE\cong\Delta PQR

 

iv) In \Delta QPR and \Delta SRP

QP = SR = 3.5 cm

PR = RP (Common side)

\angle QPR = \angle SRP

Hence, by SAS congruency rule, they are congruent.

\Delta QPR\cong\Delta SRP.

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