F. Explore the relationship between triangles and special circles in the Poincare model of hyperbolic geometry here: https://www.geogebra.org/m/SQguSCzy. Recall the definition of incenter, circumcircle, altitudes, medians, angle bisectors. a. Select Angle Bisectors and Incircle and move the vertices of the triangle about to remind yourself of the relation between the angle bisectors and incircles of a triangle. Take a screen shot and include in your homework. b. Select Perpendicular Bisectors of the Sides and Circumcircle to remind you of the relationship between these. Take a screen shot and include in your homework. c. Create a triangle with the largest defect possible. What are the side lengths? Take a screen shot and include in your homework. Write a conjecture about the size of the triangle and the defect based on the evidence you collect