Student Name: 1. Exploring Constructions in Triangles By using basic constructions on triangles we are able to identify special characteristics of triangles. In this assignment we will be bisecting all three sides of a triangle to locate a specific point, call the circumcenter. In the above acute triangle, use your compass and ruler to bisect segment BC. Make sure you show all markings made with your compass, and then use your ruler to make sure the bisecting line is straight. Repeat this procedure and bisect segments AB and AC. If done correctly, all three bisectors should meet at one point. This point of concurrency is called the Circumcenter. Label the circumcenter point D. Notice that it is located inside the triangle. This point is equidistant from all 3 of the triangle's vertices. The circumcenter is used to create a circle about the outside of the triangle. This circle will touch the three vertices of the triangle. This is called the \"Circumscribed Circle\". In order to create this circle, place the point of your compass at the circumcenter and extend the pencil point out to one of the vertices. This distance is the equal to the radius of the circumscribed circle. Now, using your compass, draw the circle that will go around the triangle, passing through the other 2 yertices. Student Name: Exploring Constructions in Triangles 2. Now repeat this procedure for an obtuse triangle: Where is the circumcenter located this time? Student Name: Exploring Constructions in Triangles 3. Repeat this procedure for a right triangle. Where is the circumcenter located this time