5.1-5.2 Day 3 Review Homework
Name _____________________________________
1. Which point of concurrency is always outside of an obtuse triangle? ____________________
2. Which point of concurrency is the center of mass in a triangle? ____________________
3. Which point of concurrency is equidistant from every vertex? ____________________
4. In which triangles are the altitude and perpendicular bisector the same? ___________________________
Name the point of concurrency shown for the bold triangle.
5.
6.
__________________________ _
7.
___________________________
8. Which point of concurrency is the center
of an inscribed circle as shown below?
__________________________
9. Which point of concurrency is the center
of a circumscribed circle as shown below?
In the diagram, the perpendicular bisectors (shown with dashed
segments) of  MNP meet at point O—the circumcenter. Find the
indicated measure.
10. PR = __________
11. SP = __________
12. MO = __________
13. mMQO = __________
Identify the following in ∆𝐀𝐁𝐂 to the left given AH = HB:
14. a median _____________
15. an altitude ___________
16. a perpendicular bisector _____________
17. an angle bisector ______________
18. If ∠ABF = 39° and ̅̅̅̅
𝐵𝐹 is an angle bisector, find m∠BCE. ________
In  SZU, UJ = 9, VJ = 3, ZT = 18 and point J is the centroid. Find
the indicated measure.
19. YJ = __________
20. SV = __________
21. JT = __________
22. YU = __________
23. Suppose that a space station needs to be placed equidistant from a group of three planets. How could you
determine the location of the space station?
24. A new aircraft is going to be triangular in shape. How would you find its center of gravity?
25. Suppose the state highway patrol wants to build a new station so that is the same distance to three intersecting
highways. How would you go about finding the location?