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Points of Concurrency Summary

The points of concurrency are marked and color coded. Drag the vertices of the triangle and observe how the points of concurrency move. Use your observations to answer the questions below.

Questions:

1) Classify the triangle (using side lengths )when all the points of concurrency are the same. 2) Classify the triangle (using side lengths )when all the points of concurrency are colinnear. 3) Which point(s) of concurrency can occur in the exterior of the triangle? Classify the triangle (using angle measure) where the points of concurrency are in the exterior. 4) Which point(s) of concurrency can occur on the sides of the triangle? Classify the triangle (using angle measures) where the points of concurrency are on the sides. 5) Which point(s) of concurrency can occur on the vertices of the triangle? Classify the triangle.