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Median & Centroid

Total questions: 19

Worksheet time: 5hrs 45mins

Name
Class
Date
1.
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
2.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
3.
The centroid is the point of concurrency of the 3 ____ of a triangle. 
a)
Medians
b)
Midsegments
c)
Perpendicular Bisectors
d)
Angle Bisectos
4.
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
5.
a)
22
b)
11
c)
3
d)
66
6.
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
7.
If G is the centroid of triangle ABC and AG= 16. Find the length of GD.
a)
8
b)
16
c)
24
d)
Not Enough Information
8.
If G is the centroid of triangle ABC and AG= 16. Find the length of GD.
a)
8
b)
16
c)
24
d)
Not Enough Information
9.
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
10.
If G is the centroid of triangle ABC and GF= 4. Find the length of GC.
a)
4
b)
8
c)
12
d)
Not Enough Information
11.
a)
11
b)
22
c)
5.5
d)
3.67
12.
Which of the following words describes the point shown in the figure?
a)
A. Centerpoint
b)
B. Orthocenter
c)
C. Centroid
d)
D. Midpoint
13.
2. What is the point of concurrency for the median of a triangle?
a)
circumcenter
b)
centroid
c)
incenter
d)
orthocenter
14.

The figure is an example of a(n) ...

a)

angle bisector

b)

dotted line theorem

c)

altitude

d)

median

15.
If Z is the centroid, what type of segments are drawn?
a)
angle bisectors
b)
perpendicular bisectors
c)
altitudes
d)
medians
16.

Find the centroid of the triangle with vertices A(-2, 4), B(1, 6), C(4, -2)

a)

(1, 83)\left(1,\ \frac{8}{3}\right)

b)

(1, 133)\left(1,\ \frac{13}{3}\right)

c)

(133, 1)\left(\frac{13}{3},\ 1\right)

d)

(83, 1)\left(\frac{8}{3},\ 1\right)

17.

Find the centroid of the triangle with vertices A(-2, -4), B(1, 6), C(4, -2)

a)
(3, -3)
b)
(1, 0)
c)

(1, -1)

d)
(0, 1)
18.

Find the centroid of the triangle with vertices A(-6, 1), B(-1, 4), C(1, -2)

a)

(-4, 1)

b)

(-2, 1)

c)

(0, 1)

d)

(-2, 2)

19.

Find the centroid of the triangle with vertices A(-6, 1), B(8, 5), C(1, -4)

a)

(1, 1)\left(1,\ 1\right)

b)

(1, −53)\left(1,\ -\frac{5}{3}\right)

c)

(1, 23)\left(1,\ \frac{2}{3}\right)

d)

(−53, 1)\left(-\frac{5}{3},\ 1\right)