Two triangles are congruent if two angles and the included side of one triangle are equal to the corresponding two angles and the included side of the other triangle. GIVE : Two ` s A B C` and `D E F` such that `/_B=/_E ,/_C=/_F` and `B C=E F` TO PROVE : ` A B CcongD E F`

Explanation

let ABC and DEF are 2 traingle in which
`/_B = /_E`, and `/_C = /_F `and `BC = EF`

For proving there are three cases
Case (1)
Let `AB = DE`

ASA Congruence Rule we have

`AB = DE`(Assumed)

Given `/_B = /_E` and`BC = EF`

So, from SAS Rule we get, `/_\ABCcong/_\ DEF`

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