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Congruent Shapes

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Description

By the end of this unit, students will be able to:

  1. understand the concepts of congruency and similarities between geometric shapes;
  2. identify and apply conditions for congruency and similarities;
  3. solve problems involving congruent and similar shapes, including proportions and ratios.

Key Stage 4: Geometry and measures

  • identify and construct congruent triangles, and construct similar shapes by enlargement, with and without coordinate grids
  • apply angle facts, triangle congruence, similarity and properties of quadrilaterals to derive results about angles and sides, including Pythagoras’ Theorem, and use known results to obtain simple proofs

Key Stage 4: Ratio, proportion and rates of change

  • compare lengths, areas and volumes using ratio notation and/or scale factors; make links to similarity (including trigonometric ratios)
  • Age: 15-16
  • England & Wales: Year 11
  • Scotland: Senior 4
  • Rep. Ireland: Transition Year
  • Australia: Grade 10
  • USA: Grade 10
  • Three-part Lesson
  • Self-marking Activities
  • Fluency, Reasoning and Problem-solving Questions.
  • Engaging Drag and Drop Activities
  • Interactive Self-marking Worksheet
  • Printable Worksheets to Consolidate Learning

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