AAS CONGRUENCE RULE - Two traingle are congruent if any two pair of angles and one pair.jpg

2 AAS CONGRUENCE RULE - C = F(given) ABC DEF (ASA Congruency).jpg

  1. Chapter 7 Class 9 Triangles
  2. Serial order wise
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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

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.