Download Geometry CP - Ch. 5 Review Packet

Name: ________________________ Class: ___________________ Date: __________
ID: B
Geometry CP - Ch. 5 Review Packet
1. A triangular side of the Transamerica Pyramid Building in San Francisco, California, is 149 feet at its base. If
the distance from a base corner of the building to its peak is 859 feet, how wide is the triangle halfway to the
top?
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2. 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 bisectors of the angles of the triangle
C. the point of concurrency of the medians of the triangle
D. the point of concurrency of the perpendicular bisectors of the sides of the triangle
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3. For a triangle, list the respective names of the points of concurrency of
• perpendicular bisectors of the sides
• bisectors of the angles
• medians
• lines containing the altitudes
A. circumcenter
B. incenter
C. circumcenter
D. incenter
incenter
circumcenter
incenter
circumcenter
orthocenter
centroid
centroid
orthocenter
centroid
orthocenter
orthocenter
centroid
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4. Two sides of a triangle have lengths 6 and 13. Write an inequality that represents the possible lengths for the
third side, x?
A. 7  x  13
B. 6  x  13
C. 7  x  19
D. 7  x  6
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ID: B
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5. Which diagram shows a point P an equal distance from points A, B, and C?
A.
C.
B.
D.
6. Find the circumcenter of EFG with E(4, 2), F(4, –2), and G(8, –2).
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ID: B
____
7. ABC has vertices A(0,6),B(4,6), and C(1,3). Find the orthocenter of ABC.
A. (1, 5)
B. (1,5)
____
C. (5,1)
D. (1, 5)
8. Which labeled angle has the greatest measure? The diagram is not to scale.
A.
B.
C.
D.
1
2
3
not enough information in the diagram
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ID: B
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9. Name the smallest angle of ABC. The diagram is not to scale.
A.
B.
C.
D.
A
C
B
Two angles are the same size and smaller than the third.
____ 10. Three security cameras were mounted at the corners of a triangular parking lot. Camera 1 was 153 ft from
camera 2, which was 101 ft from camera 3. Cameras 1 and 3 were 132 ft apart. Which camera had to cover
the greatest angle?
A. camera 3
B. camera 2
C. camera 1
D. cannot tell
____ 11. Jay, Kay, and Ray found themselves far apart when they stopped for lunch while working in a field. Jay could
see Kay, then turn through 56° and see Ray. Kay could see Ray, then turn through 69° and see Jay. Ray could
see Jay, then turn through 55° and see Kay. Which two were farthest apart?
A.
B.
C.
D.
Kay and Ray
Jay and Kay
Ray and Jay
Kay and Ray were the same distance apart as Ray and Jay.
____ 12. If mDBC  106, what is the relationship between AD and CD?
A. AD  CD
B. AD  CD
C. AD  CD
D. not enough information
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ID: B
____ 13. Which of the following must be true?
The diagram is not to scale.
A. AC  FH
B. AC  FH
C. AB  BC
D. BC  FH
14. Find the length of the midsegment. The diagram is not to scale.

15. DF bisects EDG. Find the value of x. The diagram is not to scale.
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ID: B
16. Q is equidistant from the sides of TSR. Find the value of x. The diagram is not to scale.
____ 17. In ABC, centroid D is on median AM . AD  x  4 and DM  2x  2. Find AM.
A. 10
B. 11
C. 5
D.
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____ 18. mA  11x  4, mB  4x  11, and mC  63  4x. List the sides of ABC in order from shortest to longest.
A. AB; BC ; AC
B.
AC ; AB; BC
C. BC ; AB; AC
19. What is the range of possible values for x?
The diagram is not to scale.
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D. AB; AC ; BC
ID: B
20. What is the range of possible values for x?
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