![]() An angle bisector divides an angle a median and perpendicular bisector divides a side. You can bisect (cut in half) the interior angles and the sides. Its interior has three interior angles and a measurable area. What is a Triangle?Ī triangle is a two-dimensional polygon with three straight sides closing in a space. Circumcenter - perpendicular bisectorsīeware! Even though you create the line segments (or lines) using parts of the triangle, two of the four points of concurrency do not have to be in the triangle's interior! The circumcenter and orthocenter can lie inside or outside the triangle.Each point of concurrency is associated with the intersection of a particular type of line segment: Since you can construct four different types of line segments for the triangle, you can have four different points of concurrency. When you construct things like medians, perpendicular bisectors, angle bisectors, or altitudes in a triangle, you create a point of concurrency for each one. Constructed lines in the interior of triangles are a great place to find points of concurrency. Point of Concurrency DefinitionĪ point of concurrency is a single point shared by three or more lines. You may need to try a few times, but when you get the three sticks to all cross each other, the point where they cross is a point of concurrency. Take three, uncooked, spaghetti strands or three pick-up sticks, hold them in one hand, and drop them onto a flat, hard surface. Recall and state that two of the four points of concurrency, the circumcenter and orthocenter, may fall outside the triangle.Identify the four points of concurrency in a drawing of a triangle.Recall and define the four different kinds of points of concurrency for triangles, which are the centroid, circumcenter, incenter and the orthocenter. ![]() After working your way through this lesson and video, you will be able to:
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