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Triangle congruence

Students practise triangle congruence by identifying which congruence criteria apply, spotting which information is insufficient, and arranging proof steps. Work uses criteria for corresponding sides/angles with examples and non-examples, level 9th grade.

By Edform · Mathematics · Grade 9 · Published Oct 28, 2026 · New

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Questions

  1. In △PQR and △XYZ, PQ ≅ XY, QR ≅ YZ, and ∠Q ≅ ∠Y. Which criterion proves the triangles congruent?
  2. Which set of information does not, by itself, guarantee that two triangles are congruent?
  3. Arrange the steps of this proof in a logical order. Given: AB ≅ DE, BC ≅ EF, and ∠B ≅ ∠E. Then △ABC ≅ △DEF, and AC ≅ DF.
  4. Match each congruence criterion with the measurements it requires.
  5. Complete the congruence statement using the correct criterion.

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