Lesson: Points of Concurrency
Author: Phi N
Subject Area: Math
Grade Level: 9 - 12
Students will define, manipulate and draw points of concurrency of a triangle.
Students will be able to compare and contrast incenter, circumcenter, orthocenter and centroid. NCSCOS: Geometry: Competency Goal 2 The learner will use geometric and algebraic properties of figures to solve problems and write proofs. Objective 2.03 Apply properties, definitions, and theorems of two-dimensional figures to solve problems and write proofs: 1. Triangles. 2. Quadrilaterals. 3. Other polygons. 4. Circles.
Click on the link of each activity to find the definition of each point of concurrency. Then, using patty paper, a compass and a straightedge to draw points of concurrency.
concurrent when three or more lines intersect at one point
incenter the point where all three of the angle bisectors of a triangle meet
circumcenter the point where all three of the perpendicular bisectors of a triangle meet
orthocenter the point where all three altitudes of a triangle meet
centroid the point where all three medians of a triangle meet