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AC9M8SP01

identify the conditions for congruence and similarity of triangles and explain the conditions for other sets of common shapes to be congruent or similar, including those formed by transformations

Elaborations

  • AC9M8SP01_E1developing an understanding of what it means for shapes to be congruent or similar
  • AC9M8SP01_E2using the enlargement transformation and digital tools to develop sets of similar shapes
  • AC9M8SP01_E3investigating sufficient conditions to establish that 2 triangles are congruent
  • AC9M8SP01_E4applying logical reasoning and tests for congruence and similarity, to problems and proofs involving plane shapes
  • AC9M8SP01_E5comparing angle and side measurements of shapes under transformation to answer questions such as “What changes?” and “What stays the same?”
  • AC9M8SP01_E6establishing that 2 shapes are congruent if one lies exactly on top of the other after one or more transformations including translations, reflections and rotations, and recognising that the matching sides and the matching angles are equal

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AC9M8SP01 – identify the conditions for congruence and similarity of triangles and explain the conditions for other sets of common shapes to be congruent or similar, including those formed by transformations | LessonForge