# AAS Congruence Rule

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

AAS Congruence Rule Two triangle are congruent if any two pair of angles and one pair of corresponding sides are equal. Given :- Δ ABC and Δ DEF such that ∠B = ∠E & ∠C = ∠F and AC = DF To Prove :- △ABC ≅ △DEF Proof:- From (1) and (2) ∠A + ∠B + ∠C = ∠D + ∠E + ∠F ∠A + ∠E + ∠F = ∠D + ∠E + ∠F ⇒ ∠A = ∠D Now, In △ABC and △DEF ∠A = ∠D AC = DF ∠C = ∠F ⇒ △ABC ≅ △DEF

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.