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GeoGebra

Section 3: Incenter

Autor:Kimberly Long, Tim Brzezinski

Directions for Using the Applet:

1. You can move any vertex of the triangle by clicking and dragging the white points. 2. Use the smaller slider to adjust the angle in the lower left corner of the triangle. 3. Play around with both the vertices and the slider:
  • Try different triangle shapes (acute, right, obtuse).
  • Zoom in or out if needed for a better view.
4. Focus on the three black segments that connect each side of the triangle to the point inside it (the incenter). 5. Spend a few minutes interacting with the applet and noticing how the incenter and distances behave as the triangle changes. 6. If you get stuck or are unsure what to do, scroll down and watch the “Quick (Silent) Demo.”

Questions to Answer (Write in Complete Sentences):

1. What kind of segments are drawn from the triangle’s vertices to the opposite sides? What makes you say that?

2. How do these three segments intersect? Describe what you see.

3. The point inside the triangle is the incenter. Describe the three equal distances connected to it.

  • Each distance is from the _________ to the _________?

4. Why are those distances equal? What previously learned theorem supports this?

Quick (Silent) Demo

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