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Consider this claim: 'If two triangles have two pairs of equal corresponding sides and one pair of equal corresponding angles, they must be congruent.'
Why can this claim fail?

Class 10Similarity and CongruenceGeometry — Similarity
  • ABecause SSA is not a valid congruence rule
  • BBecause SAS always works
  • CBecause all triangles are congruent
  • DBecause angles cannot be equal

Step-by-Step Solution

If the equal angle is not included between the two equal sides, the arrangement is SSA, which does not guarantee congruence (the ambiguous case).
Answer: A) Because SSA is not a valid congruence rule

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