Name: _________________________________
Unit 5 Test Review
1. What is the point of concurrency of the altitudes of a triangle called?
2. What is the point of concurrency of the medians of a triangle called?
3. True or False: The circumcenter is always inside the triangle.
4. True or False: The incenter is always inside the triangle.
5. True or False: The centroid can be outside the triangle.
6. True or False: The orthocenter can be outside the triangle.
A
7. Given triangle ABC to the right, draw the perpendicular
bisector of side AB. Include all necessary marks (congruent
lines, right angles, etc.) where appropriate to show it is a
perpendicular bisector.
B
C
A
8. Given triangle ABC to the right, draw the median through
vertex C. Include all necessary marks (congruent lines, right
angles, etc.) where appropriate to show it is a median.
B
C
A
9. Given triangle ABC to the right, draw the angle bisector of
vertex C. Include all necessary marks to show it is a angle
bisector.
B
A
10. Given triangle ABC to the right, draw the altitude through
vertex A. Include all necessary marks to show it is an altitude.
B
11. In the right triangle shown to the right, what is the
name of the altitude going through point A?
12. In the right triangle shown to the right, what is the
name of the altitude going through point C?
C
C
A
B
C
13. D is the midpoint of side BC in triangle ABC and G is the centroid of triangle ABC. If AD = 18, what is
the measure of DG?
14. Point P is the incenter of triangle HKM. Find JP.
15. Draw a perpendicular bisector through AB
C
B
A
B
A
C
16. Draw an angle bisector of vertex A
B
B
C
A
A
C
17. Draw an altitude from vertex A
A
A
B
C
B
C
18. Graph Triangle ABC with vertices A(-3, 2),
B(4, 3), and C(0, -4). Then graph the altitude
through B. Write the equation of this line.
19. Graph Triangle ABC with vertices A(2, -1),
B(5, 4), and C(-3, 4). Then graph the median
from A. Write the equation of this line.
20. Graph Triangle ABC with vertices A(-6, -7),
B(-6, 3), and C(2, 1). Then graph the
perpendicular bisector of AC. Write the equation
of this line.
21. Which of the following are possible side lengths for a triangle. Select all that apply
A) 6, 7, 12
B) 9, 2, and 5
C) 20, 21, and 21
D) 17, 9, 8
Given the following two sides of a triangle, give an inequality that expresses the possible
lengths of the third side.
22. 8 and 12
23. 14 and 5
24. 10 and 10
25. Given the triangle below, state the sides in order from shortest to longest.
26. Given the triangle below, state the angles in order from least to greatest.