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NAME____________________________________________Period_____ Date_______________________
Assignment - TOPIC 5 TEST REVIEW
Use the figure to the right to complete the statements. Use the appropriate formula, then solve. Round answers
to two decimal places.
B
1.
A
E is the midpoint of BC , find its coordinates and plot E.__________
C
2.
F is the midpoint of AC , find its coordinates and plot F.__________
3.
Length of AB :_____
4.
Length of BC :_____
For the triangle shown,
5.
If VS = 15, then PQ = _____ and PT = _____
6.
If VQ = 16, then RQ = _____ and ST = _____
7.
If PR = 30, then RS = _____ and TV = _____
8.
What is the perimeter of  PRQ?_________________
9.
What is the perimeter of  STV?_________________
P
S
T
R
V
C
10. If AC = 2x + 18 and DE = 3x - 1, then x = _____,
11.
Q
AC = _____, and DE = _____
F
A
D
E
B
Use the figure to the right and the following information: B is the midpoint of AC and D is the midpoint of CE .
C
12. If BD = 4, then AE = _____
13. If AE = 33, then BD = _____
D
B
14. If BD = 5x, then AE = _____
E
A
15. If AE = 4x + 10, then BD = _____
16. If BD = 4x + 2 and AE = 12x – 8, then x = _____, BD = _____, AE = _____
A
: Refer to the figure to the right. Given: AC  BX , determine m  CBX.
X
17. x = ___________
18. m  CBX _______________________
x
40
2x
B
AB is the perpendicular bisector of CD ; ED = 3; CB = 5; m  EBC = 37
C
C
_____19. CE = ?
A
_____20. BD = ?
B
E
_____21. m  BDC = ?
D

In the figure (not drawn to scale), BD bisects  ABC, m  ABD = 3x + 40,
and m  CBD = 43x - 120. Solve for x and find m  ABC.
22. x = ________________
A
D
C
23. m  ABC = ___________
B
Use the figure at the right to answer the following questions.
AX is the perpendicular bisector of BC ; XC = 1, BA = 5 and m  CAX = 15
24. BX = ____________
25. CA = ____________
26. m  BAX = __________
27. m  XBA = _________
A
B
X
15
C
YX is the bisector of  RYS; XR  YR ; XS  YS ;
R
28. m  RYX = _____
X
29. RX = _____,
Y
S
Write the type of special segment is pictured in each triangle below.
30.
31.
_______________
32.
_______________
33.
______________
34.
____________________
____________________
How many of each does a triangle have?
35. medians _____
36. altitudes _____
38. perpendicular bisectors _____
39. midsegments _____
37. angle bisectors _____
: In the following triangles, list the sides from longest side to shortest side, then list the angles from largest
angle to smallest angle.
A
40.
Sides:_____________________________
75
C
Angles:____________________________
35
B
41.
X
Y
X
7
100
9
Sides:_____________________________
Angles:_____________________________
Z
42. Two sides of a triangle have sides 5 and 15. The length of the third side must be greater than _______ and
less than _______.
Do the following lengths form a triangle? (YES or NO)
43. 12 cm, 2 cm, 4 cm _____
44. 10 cm, 9 cm, 10 cm _____
45. What are the possible measures for PR ?
P
22
_______________________________
R
29
Q
_______________46. Two sides of a triangle are 14 and 10. What are the possible measures of the third side?