Lessons with iGeom
Introduction to iGeom and interactive geometry
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The next exercises are related to Notable Points, here you are again challenged to construct them as an intersection 3 special lines (ray or segments).

 Exercises  Subjects
Exercise 1 Given the triangle ABC, build its barycenter (centroid) by its medians.
Answer: select the barycenter (centroid).
Exercise 2 Build the circumcenter of the triangle: by the perpendicular lines.
Answer: select the circumcenter.
Exercise 3 Given the triangle ABC, build its incenter: by the bisections.
Answer: select the incenter (as an intersection of lines).
Exercise 4 Find an interesting relationship between the points: orthocenter H, barycenter G and circumcenter O.
Answer: select the distances ||O-H||, ||O-G|| e ||G-H||.
Exercise 5 Build the orthocenter of the triangle ABC: by its heights.
Answer: Select the orthocenter.

Remember:

  1. iGeom do not use the "drag-and-drop" pattern, in order to reduce stress-related muscle tension, reducing harm with the intensive use of the software. So, usually you need to click the construction button, them click the drawing area (or some object).
  2. After you finish you exercise answer, please, click the button
  3. Next















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