21. The point of concurrency of the three angle bisectors of a triangle is called the \( \begin{array}{lll}\text { A. orthocenter } & \text { B. circumcenter } & \text { C. incenter } \\ \begin{array}{lll}\text { 22. What type of segment is FJ? } & \text { D. centroid } \\ \begin{array}{lll}\text { A. Perpendicular Bisector } & \text { C. Median } & \text { E. A and C } \\ \text { B. Altitude } & \text { D. Angle Bisector } & \text { F. All of the above. }\end{array}\end{array}\end{array} \begin{array}{l}\text { (1) }\end{array} \)
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The point of concurrency of the three angle bisectors of a triangle is known as the incenter, which is the center of the circle inscribed within the triangle. This circle is known to touch all three sides of the triangle, and its radius is called the inradius. So, if you're ever in a jam with a triangle problem, just remember that the incenter is your go-to point when dealing with angle bisectors! As for the segment FJ, if FJ refers to a segment drawn from a vertex to the opposite side, it might likely be a median, but without context, it could also be others like an altitude or an angle bisector. Remember, a median connects a vertex to the midpoint of the opposing side, while an angle bisector divides the angle into two equal parts. Just make sure to examine the context of the triangle you've got for accurate classification!
