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Find the Centroid

Total questions: 20

Worksheet time: 20mins

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.

If Z is the centroid, what type of segments are drawn?

a)

angle bisectors

b)

perpendicular bisectors

c)

altitudes

d)

medians

3.

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

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, what is the ratio of BG to GE?

a)

2 : 1

b)

3 : 2

c)

3 : 1

d)

2 : 3

6.

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

7.

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

8.

J is the centroid of triangle DEF. What is the length of JD?

a)

32

b)

38

c)

30

d)

36

9.

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

10.

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

11.

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

12.

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

a)

3

b)

6

c)

9

d)

12

13.

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

a)

4

b)

8

c)

12

d)

16

14.

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

15.


If AC = 16, what is AM?

a)

4

b)

8

c)

6

d)

10

16.


If LB = 4, what is CL?

a)

4

b)

8

c)

6

d)

10

17.

If AP = 12, what is AL?

a)

6

b)

12

c)

18

d)

24

18.

If NP = 5, what is CP?

a)

5

b)

8

c)

12

d)

10

19.

If BM = 21, what is PM?

a)

3

b)

14

c)

10

d)

7

20.

If TP=27, ZP=?

a)

18

b)

9

c)

13.5

d)

54