AA Similarity Criteria
Last updated at Aug. 13, 2018 by Teachoo
Theorems
Theorem 6.1 - Basic Proportionality Theorem (BPT)
Important
Theorem 6.2 - Converse of Basic Proportionality Theorem
Theorem 6.3
AA Similarity Criteria You are here
Theorem 6.4 Important
Theorem 6.5
Theorem 6.6 Important Deleted for CBSE Board 2023 Exams
Theorem 6.7 Important Deleted for CBSE Board 2023 Exams
Theorem 6.8 Important Deleted for CBSE Board 2023 Exams
Theorem 6.9
Chapter 6 Class 10 Triangles
Serial order wise
Transcript
AA Criteria If two angles of one triangle are respectively equal to two angles of another triangle, then the two triangles are similar.Given: Two triangles ∆ABC and ∆DEF such that ∠B = ∠E & ∠C = ∠F To Prove: ∆ABC ~ ∆DEF Proof: In ∆ ABC, By angle sum property ∠A + ∠B + ∠C = 180° In ∆ DEF, By angle sum property ∠D + ∠E + ∠F = 180° In ∆ DEF, By angle sum property ∠D + ∠E + ∠F = 180° From (1) and (2) ∠A + ∠B + ∠C = ∠D + ∠E + ∠F ∠A + ∠E + ∠F = ∠D + ∠E + ∠F ∠ A = ∠ D Thus, In Δ ABC & Δ DEF ∠ A = ∠ D ∠ B = ∠ E ∠ C = ∠ F ∴ Δ ABC ~ Δ DEF Hence, proved
