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Honors Geometry Unit 5 Notes

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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
  • both necessary and sufficient conditions for parallelograms and other quadrilaterals as well as relationships among kinds of quadrilaterals.

Activities

  • Find the Centroid
    • Balance cutout on the centroid

Terms

  • Median
  • Quadrilateral
  • Parallelogram
  • Polygon
  • Regular Polygon