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Worksheets

Relationships in Triangles

Total questions: 10

Worksheet time: 10mins

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.

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

3.

If DL = 24, then DG = 

a)

16

b)

8

c)

12

d)

36

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.

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.

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

8.

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

a)

3

b)

6

c)

9

d)

12

9.

Order the angles from smallest to largest.

a)

∠D, ∠E, ∠C

b)

∠D, ∠C, ∠E

c)

∠C, ∠E, ∠D

d)

∠C, ∠D, ∠E

10.

Which of the following is a possible  length for segment AC

a)

10

b)

15

c)

17

d)

9