Step 1: For each set of coordinates, classify triangle ABC by its sides AND angles on your worksheet. Step 2: Find the circumcenter (D) [b][i]AND[/i][/b] incenter (E) of triangle ABC. Step 3: Write down the coordinates for each point of concurrency next to its classification. Hint: Find the coordinates of the circumcenter for all three triangles first. Then, click the reset button and find the coordinates of the incenters of all three triangles. A [i][b]circumcenter[/b][/i] is the intersection of the perpendicular bisectors of the sides of a triangle. An [b][i]incenter[/i][/b] is the intersection of the angle bisectors in a triangle.
Copy the following into your notebook: Triangle 1. A(3,6) B(2,2) C(11,6) Classifications: ___________________ D( ) E( ) Triangle 2. A(3,6) B(3,2) C(11,6) Classifications: ___________________ D( ) E( ) Triangle 3. A(3,6) B(2,2) C(7,4) Classifications: ___________________ D( ) E( ) Observations: (Answer these questions thoroughly and in complete sentences in your notebook.) What do you notice about the location of the circumcenter for the three different triangles? What do you notice about the location of the incenter for the three different triangles?