wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

Centroid Theorem

Total questions: 13

Worksheet time: 19mins

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.
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
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 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
5.
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
6.
a)
11
b)
22
c)
5.5
d)
3.67
7.

If TP=27, ZP=?

a)

18

b)

9

c)

13.5

d)

54

8.

G is the centroid of triangle ABC. BE = 15. Find EG.

a)

10

b)

5

c)

22.5

d)

20

9.
The centroid is the point of concurrency of the 3 ____ of a triangle. 
a)
Medians
b)
Midsegments
c)
Perpendicular Bisectors
d)
Angle Bisectos
10.

X is the centroid of the triangle. If AZ = 24, find AX.

a)

4

b)

8

c)

12

d)

16

11.

X is the centroid of the triangle. If ZX = 3, find AZ.

a)

3

b)

6

c)

9

d)

12

12.
If DL = 24, then DG = 
a)
16
b)
8
c)
12
d)
36
13.

Is segment AB a median, altitude, neither or both?

a)

median

b)

altitude

c)

neither

d)

both