Ch 5 geo

Deidra Baker, Oct 19, 2017


  • 1. The midsegments divide any triangle in congruent triangles
  • 2. Perpendicular Bisectors in a Triangle
  • 3. Perpendicular Bisectors in a Triangle
  • 4. Perpendicular Bisectors in a Triangle
  • 5. Angle Bisectors in a triangle
  • 6. Angle Bisector/Opposite Side
  • 7. Triangle-Angle Bisector Theorem
  • 8. Angle Bisector in a Triangle Similarity
  • 9. Medians of a Triangle
  • 10. Medians In a Triangle
  • 11. Altitudes in a triangle
  • 12. Explore circumcenters, incenters, centroids and orthocenters
  • 13. The Points of Concurrency of a Triangle
  • 14. Centers of a Triangle
  • 15. Euler Line Generator
  • 16. The Euler Line of a Triangle
  • 17. Triangle Inequality Theorem
  • 18. Triangle Inequality (II)
  • 19. Inequalities in 1 Triangle
  • 20. Side-Angle-Side Inequalities In Two Triangles
  • 21. Inequalities in Two Triangles-Hinge Theorem
  • 22. Similar Triangles Task 2
  • 23. Altitudes of a Triangle Investigation
  • 24. Incenter
  • 25. Orthocenter

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The midsegments divide any triangle in congruent triangles

A [i]midsegment[/i] of a triangle is a segment that connects the midpoints of any two sides of the triangle.[br][br]This applet demonstrates that the three midsegments of any triangle divide the original triangle in four congruent triangles. [br]The demonstration is based on the following properties:[br]1.The midsegment is always parallel to the third side of the triangle. [br]2. Any parallelogram has a rotational symmetry with center the intersection point of the diagonals and angle of rotation [math]180^{\circ}[/math].
– Irina Boyadzhiev

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