GPS Geometry
Points of Concurrency Day 2 Practice Answer Key
In each figure below, tell what point of concurrency is shown and what constructions form that point:
Point: _____Orthocenter_____________
Point:_____Centroid___________________
Formed by: ______Altitudes___________
Formed by: ______Medians________________
Point:________Circumcenter_____________
Point:________Incenter___________
Formed by: _____Perpendicular Bisectors__
Formed by: ____Angle Bisectors______
Important Questions (use your graphic organizer to help):
1. Which points of concurrency are always inside the triangle? _ Centroid & Incenter _
2. Which point of concurrency is always on the vertex of a right triangle? ___ Orthocenter ___
3. Which point of concurrency is always on the midpoint of the hypontenuse in a right triangle? Circumcenter
4. Which points of concurrency are always outside of an obtuse triangle? _ Circumcenter & Orthocenter _
5. Which point of concurrency is the center of gravity in a triangle? ___ Centroid ________
6. Which point of concurrency is equidistant from every vertex? ___ Circumcenter ______
7. Which point of concurrency is the center of an inscribed circle as shown below? __ Incenter ____
8. Which point of concurrency is the center of a circumscribed circle as shown below? __ Circumcenter _____
Point G is the Centroid of 𝚫ABC. AD = 8, AG = 10, and CD = 18. Find the length of the given segment.
9. BD
10. AB
11. EG
8
16
5
12. AE
15
13. CG
12
14. DG
6