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. question number 4
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Step-by-step explanation:
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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