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What does the AAS congruence rule state?

Class 9SAS, ASA and AAS CongruenceGeometry — Triangles
  • AAll three angles equal → congruent
  • BTwo angles equal → congruent
  • CTwo angles and a non-included side equal → congruent
  • DTwo sides and a non-included angle equal → congruent

Step-by-Step Solution

AAS: if two angles and any corresponding side (not between them) are equal, the triangles are congruent. It follows from ASA because the third angles are then equal too.
Answer: C) Two angles and a non-included side equal → congruent

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Which of these is NOT a valid congruence rule for triangles?Using the marked equal parts, by which rule is △ABC ≅ △PQR?Here ∠A = ∠P, ∠B = ∠Q and BC = QR. Name the congruence rule.In △ABC and △DEF, AB = DE, ∠A = ∠D and AC = DF, as marked. If BC = 9 cm, how long is EF?Why does AAA (three equal angles) not prove two triangles congruent?