1. Are YOU Ready??
Chapter 5 Review

2. Which segments form the centroid?
F.  bisectors H. Medians
G.  bisectors J. Altitudes

3. Which segments form the incenter?
F.  bisectors H. Medians
G.  bisectors J. Altitudes

4. Which segments form the orthocenter?
F.  bisectors H. Medians
G.  bisectors J. Altitudes

5. Which segments form the circumcenter?
F.  bisectors H. Medians
G.  bisectors J. Altitudes

6. Why does a circumcenter allow you to draw a
circle around the outside of a triangle?
It’s equidistant to each side of the triangle.
It’s equidistant to each vertex of the triangle.
It’s located at the exact center of the triangle.
It’s just cool that way.

7. Why does an incenter allow you to draw a
circle around the inside of a triangle?
It’s equidistant to each side of the triangle.
It’s equidistant to each vertex of the triangle.
It’s located at the exact center of the triangle.
It’s just cool that way.

8. What is the centroid’s “claim to fame”?
It’s fun to pronounce.
It lets you draw a circle around the triangle.
H. It lets you draw a circle inside the triangle.
J. It is the center of gravity of the triangle.

9. If O is the centroid, find the value of x.

10. Which of A, B, C, or D is the:
circumcenter?
incenter?
centroid?
orthocenter?

11. Can a triangle have sides of 3, 8, 4?

12. Can a triangle have sides of 5, 1, 5?

13. Andy, Ben, and Chris are in a parking lot. Andy can
see Ben, then turn 60° and see Chris. Chris can
see Andy, then turn 50° and see Ben. Which two
boys are farthest apart?
Andy & Ben H. Andy and Chris
Ben & Chris J. Not enough info

14. How does a midsegment triangle compare to its
original triangle?
Its perimeter is twice as large.
Its perimeter is ½ as small.
Its area is ½ as large.
Its area is ¼ as large.

15. What is the range of x?
F. x > 500
400 < x < 500
400 < x < 900
100 < x < 900
500
400 x

16. Given: RT = ST, A R T S

17. Which are “concurrent” lines?F. H. G. I.

18. Is (3, -4) a point on the line, y = 2x – 10?
Yes No
Not enough information
Maybe

19. What is the “shortcut” in locating the centroid
on a coordinate plane?
Can we use it on tomorrow’s test?

20. x 6
Find the value of x. 12 10 8 6

21. Find the orthocenter.
(3, 8)
(-3, 2)
(3, -4)

22. Find the circumcenter.
(1, 8)
(9, 8)
(5, 2)

23. Find the centroid of the points:
(Yes. You may use the shortcut!)
(4, -2) (-3, 5) (5, -6)

24. If you would like some bonus points, do the
Chapter 5 practice test under “Additional
Practice” in your online textbook. Print out
the score page, have a parent sign it, and
turn in before your test.
Be sure to include your
name on the print-out.