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Why does AAA (three equal angles) not prove two triangles congruent?

Class 9SAS, ASA and AAS CongruenceGeometry — Triangles
  • AThe triangles can be the same shape but different sizes
  • BAAA proves congruence only for isosceles triangles
  • CAngles of a triangle cannot all be equal
  • DAAA needs a right angle

Step-by-Step Solution

A triangle with sides 3, 4, 5 and one with sides 6, 8, 10 have the same angles but are not congruent. At least one side must match.
Answer: A) The triangles can be the same shape but different sizes

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