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Thales discovered that a circle is bisected by its diameter, that the base angles of an isosceles triangle are equal and that vertical angles are equal. Two fundamental theorems of elementary geometry are customarily called Thales's theorem: one of them has to do with a triangle inscribed in a circle and having the circle's diameter as one side.

CIRCLE THEOREMS

Key questions

  1. What are the properties of triangles and quadrilaterals?

  2. What are the various circle theorems?

  3. Can we prove the circle theorems?

  4. Can we problem solve with circle theorems?

5 lessons

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Literacy

  • stories that set a frame or background

  • stories that accompany or intertwine

  • stories that introduce

  • stories that explain

  • stories that ask a question

  • stories that entertain

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