1. You can [b]move any vertex[/b] of the triangle by clicking and dragging the white points.[br][br]2. Use the [b]smaller slider[/b] to adjust the angle in the [b]lower left corner[/b] of the triangle.[br][br]3. [b]Play around with both the vertices and the slider:[/b][br][list][*]Try different triangle shapes (acute, right, obtuse).[/*][*]Zoom in or out if needed for a better view.[/*][/list][br]4. Focus on the [b]three black segments[/b] that connect each side of the triangle to the point inside it (the [b]incenter[/b]).[br][br]5. Spend a few minutes interacting with the applet and noticing how the incenter and distances behave as the triangle changes.[br][br]6. If you get stuck or are unsure what to do, scroll down and watch the[b] “Quick (Silent) Demo.”[/b]
1. What kind of segments are drawn from the triangle’s [b]vertices to the opposite sides[/b]? What makes you say that?
2. How do these [b]three segments intersect?[/b] Describe what you see.
3. The point inside the triangle is the [b]incenter[/b]. Describe the [b]three equal distances[/b] connected to it.[br][br][list][*]Each distance is from the _________ to the _________?[/*][/list]
4. Why are those distances equal? What [b]previously learned theorem[/b] supports this?