How to apply ASA congruence rule?

Dear Student,

Please find below the solution to the asked query:

We know ASA (  Angle -  Side - Angle ) We use that congruency criteria if we know two corresponding angles of two triangle equal and side between these angles also equal .

For example :

Here we know : $\angle$ ABC  =  $\angle$ PQR   , $\angle$ ACB = $\angle$ PRQ and BC  =  QR 

So,

In $∆$ ABC and $∆$ PQR

$\angle$ ABC  =  $\angle$ PQR                         ( Given )

$\angle$ ACB  =  $\angle$ PRQ                         ( Given )

And

BC  =  QR                                        ( Given )

So,

$∆$ ABC $\cong$ $∆$ PQR                          ( By ASA rule )

Hope this information will clear your doubts about topic.

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