Chapter 6 · Question 3

State the AA similarity criterion for triangles.

Back to Chapter
Q3

State the AA similarity criterion for triangles.

Answer Revealed
Direct Answer:
If two angles of one triangle are respectively equal to two angles of another triangle, then the two triangles are similar.

Simple Explanation

Two matching angles are enough for triangle similarity.

Exam-Ready Structure

If A=P\angle A=\angle P and B=Q\angle B=\angle Q in triangles ABCABC and PQRPQR, then the third angles are also equal by angle sum property. Hence the triangles are equiangular and their corresponding sides are proportional. Therefore ABCPQR\triangle ABC\sim\triangle PQR.

Key Points

  • If two angles of one triangle are respectively equal to two angles of another triangle, then the two triangles are similar.
  • Use the NCERT formula or theorem carefully.
  • Write units and final conclusion where applicable.