A lesson on detour proofs (proofs of congruent triangles that are contingent on proving prior pair of triangles congruent) and on the formula for finding midpoints in a coordinate plane. The video also covers the use of the midpoint formula in a worked example requiring the development of an equation of the median of a triangle.
4.1 Detour Proofs and Midpoints (Lesson) is a free educational video by AutenMath.It helps students in grades HS practice the following standards HSG.GPE.B.4.
1. HSG.GPE.B.4 : Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, √3) lies on the circle centered at the origin and containing the point (0, 2)..