Exploring Points of Concurrency - 2019
Manipulate the vertices of the triangle to investigate the location of the centers of a triangle.
1. Which two of the four centers are not always in the interior of the triangle?
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2. What is true about the triangle when two of the centers are not inside the triangle?
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3. When all four centers are in the interior of the triangle, which is closest to the largest angle?
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4. Adjust the triangle above so that all four points of concurrency are located at the same point. What is true about triangle ABC when this happens?
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5. Adjust this applet so that all of the points of concurrency are collinear on a horizontal line. What is true about the triangle in this situation? (hint: you will probably need to move more than one vertex)
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