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Triangles — Part 1: Similar figures and the Basic Proportionality Theorem

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Lesson

Triangles, Part 1: Similar figures and the Basic Proportionality Theorem

Same shape, different size — and the theorem that turns a parallel line into a ratio.

In this lesson you will

  • Distinguish similar and congruent figures using equal angles and proportional sides
  • State and prove the Basic Proportionality Theorem
  • Find unknown lengths in a triangle using the theorem
  • Prove two lines parallel using the converse of the theorem
Same shape, different size: △PQR is an enlargement of △ABC (scale factor 1.75).