Name: ________________________ Class: ___________________ Date: __________
Chapter 5 Test
____
1. Points B, D, and F are midpoints of the sides of ACE. EC = 30 and DF = 17. Find AC.
The diagram is not to scale.
A. 60
____
B. 30
C. 34
D. 8.5
B. 11.5
C. 8
D. 10
2. Find the value of x.
A. 7
1
ID: A
Name: ________________________
____
3. Find the value of x. The diagram is not to scale.
A. 90
____
B. 70
C. 35
D. 48
4. B is the midpoint of AC, D is the midpoint of CE, and AE = 21. Find BD. The diagram is not to scale.
A. 42
____
ID: A
B. 21
C. 11.5
D. 10.5
5. Find the length of the midsegment. The diagram is not to scale.
A. 24
B. 0
C. 42
2
D. 84
Name: ________________________
ID: A


____
6. DF bisects EDG. Find the value of x. The diagram is not to scale.
A. 285
____
B.
4
19
C. 32
D. 19
7. Q is equidistant from the sides of TSR. Find mRST. The diagram is not to scale.
A. 21
B. 42
C. 4
D. 8



____
8. DF bisects EDG. Find FG. The diagram is not to scale.
A. 15
B. 14
C. 19
3
D. 28
Name: ________________________
____
ID: A
9. Q is equidistant from the sides of TSR. Find the value of x. The diagram is not to scale.
A. 2
B. 12
C. 14
D. 24
____ 10. Which diagram shows a point P an equal distance from points A, B, and C?
A.
C.
B.
D.
____ 11. Where is the circumcenter of any given triangle?
A. the point of concurrency of the altitudes of the triangle
B. the point of concurrency of the perpendicular bisectors of the sides of the triangle
C. the point of concurrency of the bisectors of the angles of the triangle
D. the point of concurrency of the medians of the triangle
4
Name: ________________________
ID: A
____ 12. Name the point of concurrency of the angle bisectors.
A. A
B. B
C. C
D. not shown
____ 13. Find the length of AB, given that DB is a median of the triangle and AC = 26.
A. 13
C. 52
B. 26
D. not enough information
5
Name: ________________________
ID: A
____ 14. In ACE, G is the centroid and BE = 18. Find BG and GE.
A. BG  6, GE  12
1
1
C. BG = 4 , GE = 13
2
2
B. BG  12, GE  6
D. BG = 9, GE = 9
____ 15. In ABC, centroid D is on median AM . AD  x  4 and DM  2x  4. Find AM.
A. 13
B. 4
C. 12
D. 6
____ 16. Where can the lines containing the altitudes of an obtuse triangle intersect?
I. inside the triangle
II. on the triangle
III. outside the triangle
A. I only
B. I or II only
C. III only
D. I, II, or II
____ 17. Where can the medians of a triangle intersect?
I. inside the triangle
II. on the triangle
III. outside the triangle
A. I only
B. III only
C. I or III only
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D. I, II, or II
Name: ________________________
ID: A
____ 18. Which labeled angle has the greatest measure? The diagram is not to scale.
A. 1
B. 2
C. 3
D. not enough information in the diagram
____ 19. Name the smallest angle of ABC. The diagram is not to scale.
A. A
B. B
C. C
D. Two angles are the same size and smaller than the third.
____ 20. Three security cameras were mounted at the corners of a triangular parking lot. Camera 1 was 156 ft from
camera 2, which was 101 ft from camera 3. Cameras 1 and 3 were 130 ft apart. Which camera had to cover the
greatest angle?
A. camera 2
B. camera 1
C. camera 3
D. cannot tell
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Name: ________________________
ID: A
____ 21. List the sides in order from shortest to longest. The diagram is not to scale.
A. JK , LJ , LK
B. LK , LJ , JK
C. JK , LK , LJ
D. LK , JK , LJ
____ 22. Which three lengths CANNOT be the lengths of the sides of a triangle?
A. 23 m, 17 m, 14 m
C. 5 m, 7 m, 8 m
B. 11 m, 11 m, 12 m
D. 21 m, 6 m, 10 m
____ 23. Which three lengths could be the lengths of the sides of a triangle?
A. 12 cm, 5 cm, 17 cm
C. 9 cm, 22 cm, 11 cm
B. 10 cm, 15 cm, 24 cm
D. 21 cm, 7 cm, 6 cm
____ 24. Two sides of a triangle have lengths 6 and 17. Which expression describes the length of the third side?
A. at least 11 and less than 23
C. greater than 11 and at most 23
B. at least 11 and at most 23
D. greater than 11 and less than 23
____ 25. Two sides of a triangle have lengths 10 and 15. What must be true about the length of the third side?
A. less than 25
B. less than 10
C. less than 15
D. less than 5
8
Name: ________________________
ID: A
____ 26. Which of the following must be true?
The diagram is not to scale.
A. AB  BC
C. BC  FH
AC  FH
D. AC  FH
B.
____ 27. What is the range of possible values for x?
The diagram is not to scale.
A. 0  x  54
C. 0  x  27
B. 0  x  108
D. 27  x  180
9
Name: ________________________
ID: A
____ 28. What is the range of possible values for x?
The diagram is not to scale.
A. 12  x  48
C. 10  x  50
B. 0  x  10
D. 10  x  43
____ 29. What is the range of possible values for x?
A. 0  x  18
C. 7  x  18
B. 0  x  5
D. 5  x  18
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Name: ________________________
ID: A
30. Identify parallel segments in the diagram.
31. B is the midpoint of AC and D is the midpoint of CE. Solve for x, given BD  5x  3 and AE  4x  18.
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ID: A
Chapter 5 Test
Answer Section
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BD  AE, DF  AC, BF  CE
31. x  2
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