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ITMC 2018 Grade 8 National Preliminary set01 Question 20

ITMC · ITMC 2018 Grade 8 National Preliminary set01

Question 20

Which condition does not guarantee congruence of triangles $ABC$ and $A^{\prime} B^{\prime} C^{\prime}$?
  1. $AB=A^{\prime} B^{\prime},\ \angle ABC=\angle A^{\prime} B^{\prime} C^{\prime},\ BC=B^{\prime} C^{\prime}$
  2. $\angle BAC=\angle B^{\prime} A^{\prime} C^{\prime},\ \angle ABC=\angle A^{\prime} B^{\prime} C^{\prime},\ BC=B^{\prime} C^{\prime}$
  3. $AB=A^{\prime} B^{\prime},\ AC=A^{\prime} C^{\prime},\ BC=B^{\prime} C^{\prime}$
  4. $\angle BAC=\angle B^{\prime} A^{\prime} C^{\prime},\ AB=A^{\prime} B^{\prime},\ BC=B^{\prime} C^{\prime}$
  5. Every condition A–D guarantees congruence.