Unit 5 Test Study Guide Relationships In Triangles [2021] -

Master Your Unit 5 Test: Relationships in Triangles Study Guide

Find equations of two altitudes (using perpendicular slope to opposite side) and solve the intersection. unit 5 test study guide relationships in triangles

Intersection of the 3 altitudes.

| Point of Concurrency | Formed by... | Key Property | Location in Acute Triangle | Location in Right Triangle | Location in Obtuse Triangle | |---------------------|--------------|--------------|----------------------------|----------------------------|-----------------------------| | | Perpendicular bisectors | Equidistant from all vertices (center of circumscribed circle) | Inside | At midpoint of hypotenuse | Outside | | Incenter | Angle bisectors | Equidistant from all sides (center of inscribed circle) | Inside | Inside | Inside | | Centroid | Medians | 2/3 of the distance from vertex to opposite side (center of mass) | Inside | Inside | Inside | | Orthocenter | Altitudes | No single distance property, but important for proofs | Inside | At the right angle vertex | Outside | Master Your Unit 5 Test: Relationships in Triangles