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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.

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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.

$\Delta QPR\cong\Delta SRP$ .

Posted by

Pankaj Sanodiya

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