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Centers of Triangles

Total questions: 18

Worksheet time: 45mins

Name
Class
Date
1.
The centroid is the point of concurrency of the 3 ____ of a triangle. 
a)
Medians
b)
Midsegments
c)
Perpendicular Bisectors
d)
Angle Bisectos
2.
The point of concurrency of the 3 perpendicular bisectors of a triangle is called the ___?
a)
Midsegment
b)
Incenter
c)
Circumcenter
d)
Centriod
3.
The centroid cuts each median into two segments.  The shorter segment is ___________ the length of the entire segment.
a)
one third
b)
two thirds
c)
three fourths
d)
one half
4.
If Z is the centroid, what type of segments are drawn?
a)
angle bisectors
b)
perpendicular bisectors
c)
altitudes
d)
medians
5.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
6.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
7.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
8.
When you draw the medians of a triangle it creates the point of concurrency called the _____________.
a)
Centroid
b)
Incenter
c)
Perpendicular Bisectors
d)
Altitude
9.
The altitudes of a triangle intersect at the _________________________.
a)
Centriod
b)
Circumcenter
c)
Incenter
d)
Orthocenter
10.
Find the value of x
a)
x=28
b)
x=14
c)
x=23
d)
x=46
11.
If m∠CAP = 34° , find ∠CAB.
a)
A. 17°
b)
B. 34°
c)
C. 68°
d)
D. 90°
12.
CF, BE, and AD are the medians of the triangle. If BF =10, find AF.
a)
20
b)
10
c)
5
d)
Not Enough Information
13.
If G is the centroid of triangle ABC and BE= 18. Find the length of BG.
a)
6
b)
12
c)
18
d)
Not Enough Information
14.
If G is the centroid of triangle ABC and GE= 7. Find the length of BE.
a)
7
b)
14
c)
21
d)
Not Enough Informaion
15.
Point O is the circumcenter of the triangle. Find OB
a)
OB = 4
b)
OB = 6
c)
OB = 5.1
d)
Not enough information
16.
ED is the midsegment of triangle ABC. Find BC
a)
10.2
b)
12.5
c)
20.4
d)
22.7
17.
Find the measure of the indicated angle. 
a)
34
b)
46
c)
62
d)
36
18.
Find the measure of the indicated angle. 
a)
145 degrees
b)
24 degrees
c)
20 degrees 
d)
21 degrees