Geometry
Chapter 5 Test Review
Name_________________________
Date_______________________
Besides completing this Review Packet you should also study your notes, your chapter
5 quiz review and quiz, as well as any homework assignments from this chapter. Be
sure to know the definitions of special segments in triangles and be prepared to answer
true/false questions.
SHOW ALL WORK TO RECEIVE FULL CREDIT!
1. Two sides of a triangle measure 6 and 55. Between what two numbers must the third
side fall?
5
7
9
2. If GU  ,UY  and GY  , list the angles of GUY in order from greatest to
8
15
17
smallest.
3. If H  51.5 and I  59.5 , list the sides of HIP from shortest to longest.
4. If mA  3x  6, mB  5 x  9 and mC  2x  12 , find the value of x and determine
which side of ABC is the shortest.
5. Can you make a triangle from sides of
6. Can you make a triangle from sides of
3, 5, and 10 ?
5 11
9
, , and
?
41 79
73
Geometry
Chapter 5 Test Review
Name_________________________
Date_______________________
7. In each figure, tell which segment is the longest and which is the shortest.
A
a)
b)
A
B
III
I
B
II
D
II
C
D
I
C
E
8. If the sides of a triangle are lengths 5x, 10 – 3x, and 14 – 4x, what are the possible
values of x?
9. Find FG if EH is an altitude, FH = 3x, HG = 2x – 4 and mEHG = 4x + 30.
Geometry
Chapter 5 Test Review
Name_________________________
Date_______________________
10. Find mKLJ if LM is an angle bisector, mMLK  x , mK  (2 x  5) and
mJ  (3x  9) .
11. Find AB if BD is a median in ABC , AB = 2x + 5, AD = x2 – 4 and CD = x + 8.
12. Plot the points B(-1, 7), A(8, 4) and
T(-2,2) on the coordinate plane. Connect
the points to form a
triangle.
a) Determine the equation of the median
BR . Draw BR on your graph.
b) Determine the equation of the altitude
BY . Draw BY on your graph.
c) Determine the equation of the
perpendicular bisector of AT . Draw the perpendicular bisector on your graph.
Geometry
Chapter 5 Test Review
Name_________________________
Date_______________________
13. Is it possible to have a triangle with vertices A(1,1), B(4,-2) and C(7,5)? Justify your
work algebraically.
14. In the figure, FE  DE and EG is an altitude. If DF=16 and DG=5, find the length
of the following segments of the triangle.
D
a) DE
G
b) EG
E
15. Find mXYZ .
X
36
Z
15
Y
16. Find the exact perimeter of an equilateral triangle whose altitude is 24.
F