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Honors Geometry Unit 5 Notes: Difference between revisions

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Proofs
==== Proofs ====
 
* the sum of the measures of the interior angles of a triangle is $180^{\circ}$
* the base angles of isosceles triangles are congruent
* the segment joining the midpoints of two sides of a triangle is parallel to the third side and half the length
* a line parallel to one side of a triangle divides the other two proportionally, and conversely
* the Pythagorean Theorem using triangle similarity.

Revision as of 19:35, 4 October 2025

Proofs

  • the sum of the measures of the interior angles of a triangle is $180^{\circ}$
  • the base angles of isosceles triangles are congruent
  • the segment joining the midpoints of two sides of a triangle is parallel to the third side and half the length
  • a line parallel to one side of a triangle divides the other two proportionally, and conversely
  • the Pythagorean Theorem using triangle similarity.