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In triangles ABC and DEF, you are told AB = DE, AC = DF and angle B = angle E (a non-included angle).
Why can you NOT immediately conclude congruence?

Class 9Criteria for CongruenceGeometry — Triangles
  • AThis is SSA, which is not a valid criterion
  • BBecause the triangles are too small
  • CBecause no sides are equal
  • DBecause angle B must be 90°

Step-by-Step Solution

Two sides with a non-included angle is SSA, which can give two different triangles, so it is not a valid criterion.
Answer: A) This is SSA, which is not a valid criterion

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