Geometry Review (Properties of Triangles) Unit 4
Name: ________________________
Find the value of x.
1.
2.
3.
4.
5.
6.
A
7. Points B, D, and F are midpoints of the sides
of
DF = 23. Find AC.
The diagram is not to scale.
B
F
C
E
D
Find the measures of the missing angles.
8.
 1 = __________
9.
 2 = __________
10.
 3 = ___________
11.
 4 = ____________
Find the value of each variable.
12.
13.
x = ________
w = _______ x = _______
y = ________
y = ________ z = ________
14. Find the measures of the missing angles.
x  _______
a)
m
b)
y  _______
n = _______
x  _____
c).
x  _____
d)
y  _____
15. Given: mBCD  20 and
0
a)
= _______
y  _____
AD  11
m1=___________
b) AB = _________________
16. Matching. What is AB in each of these figures?
_______ angle bisector
A.
B.
_______ median
_______ perpendicular bisector
17. The city would like to place a statue equidistant from 3 straight roads which
enclose a park (see right). What point of concurrency should they find?
C.
18. Looking at the construction markings, which point of concurrency is shown? (incenter, circumcenter, or centroid)
________________
________________
____________________
19. The town of Adamsville, Brooksville, and Cartersville
want to build a library that is the same distance from
the three towns. What point of concurrency should they find?
20. Which point of concurrency is also called the center of gravity?
21. XYZ has sides with length XY=5, YZ = 10, XZ=14. Draw the triangle. List the angles in order from smallest to
largest.
22. List the angles and sides in order from smallest to largest.
23. Can a triangle be made from these three sides? Explain why or why not.
15cm, 18cm, 33cm
24. 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?
25. What can you conclude about XY ? Explain.
On the back (and use a separate piece of paper if needed), construct three separate triangles using the compass:
Triangle A: Sides - 11cm, 9cm, 8cm. Then on Triangle A, construct the circumcenter.
Triangle B: Sides – 12cm, 9cm, 7cm. Then on Triangle B, construct the centroid.
Triangle C: Sides – 13cm, 10cm, 8cm. Then on Triangle C, construct the incenter.