Geometry
Chapter 5 Review
Name:_____________________________
Find the value of x.
1.
2.
3.
4.
5.
6.
7. The city would like to place a statue equidistant from 3 straight
which enclose a park (see right). What point of concurrency
should they find?
8. Y is the centroid of TUV. If TU=16 and TY= 18.
a) Find TX
b) Find YW
9. Point X is equidistant from ___________.
a) each side of ABC
b) each vertex of ABC
c) both a & b
d) none of these
10. XYZ has sides with length XY=5, YZ = 10, XZ=14. List the angles in order from smallest to largest.
11. Name the shortest and longest sides of the triangle KVM.
roads
12. We would like to make a triangular deck with 2 sides having measurements of 20 ft. and 12 ft. What are the
possible values for the 3rd side of the triangle?
13. Matching. What is AB in each of these figures?
_______ angle bisector
A.
B.
C.
D.
_______ median
_______altitude
_______ perpendicular bisector
14. In the figure below, O is the centroid. Given that AF = 33, CO = 24, and OE = 6, find the following measures.
a) OF = ___________
b) CD = ____________
c) BE = ____________
15.
a) Graph the triangle with vertices A(0, 0), B(6, 0), C(0, 6).
b) Find the midpoint (M) of each side of the triangle.
AB : M = ___________________ (label point as X)
BC : M = ___________________ (label point as Y)
AC : M = ___________________ (label point as Z)
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c) Find the equation and graph each line in y = mx + b form. Show all work.
 CX
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AY
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d) Algebraically find the intersection of lines CX and AY . Show all work.
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e) Give the coordinates and the geometrical name for the point of concurrency.