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Centroid of a Triangle

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Find the coordinates of the centroid of the triangle whose vertices are S(0, 0), P(1, 3) and D(-2,0)

a)

(1/3, 1)

b)

(- 1/3, 1)

c)

(- 1/3, -1)

d)

(1/3, -1)

2.

Find the coordinates of the centroid of the triangle whose vertices are A(3, 4), C(-5, 0) and K(0,0)

a)

(2/3, 4/3)

b)

(-2/3, -4/3)

c)

(-2/3, 4/3)

d)

(2/3, -4/3)

3.

Find the coordinates of the centroid of the triangle whose vertices are E(6, -3), T(-5, -3) and P(6,-1)

a)

(7/3, -7/3)

b)

(-7/3, -7/3)

c)

(7/3, 7/3)

d)

None of the above

4.

Find the coordinates of the centroid of the triangle whose vertices are F(-7, -3), X(-7, -5) and P(-3,-3)

a)

(-17/3, -11/3)

b)

(-17/3, 11/3)

c)

(17/3, -11/3)

d)

None of the above

5.

Find the coordinates of the centroid of the triangle whose vertices are V(-7, -6), T(-8, 0) and W(0,0)

a)

(-3, -7)

b)

(-5, -2)

c)

(-3, -9)

d)

(-5, -2.5)

6.

Two vertices of a triangle are (1,3), (2,2). The centroid is (2,4). Find the third vertex of the triangle

a)

(-3, 7)

b)

(3, -7)

c)

(3, 7)

d)

None of the above

7.

Two vertices of a triangle are (-1,-3), (0,4). The centroid is (-3,2). Find the third vertex of the triangle.

a)

(8, 5)

b)

(-8, -5)

c)

(-8, 5)

d)

None of the above

8.

Two vertices of a triangle are (-5,6), (3,-2). The centroid is (4,-7). Find the third vertex of the triangle.

a)

(-14, -25)

b)

(14, -25)

c)

(14, 25)

d)

None of the above

9.

If AP = 12, what is AL?

a)

6

b)

12

c)

18

d)

24

10.


If BM = 21, what is PM?

a)

3

b)

14

c)

10

d)

7

11.

The centroid is the point of concurrency of the 3 ____ of a triangle. 

a)

Medians

b)

Midsegments

c)

Perpendicular Bisectors

d)

Angle Bisectos

12.

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

a)

angle bisectors

b)

perpendicular bisectors

c)

altitudes

d)

medians

13.

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

14.


If AC = 16, what is AM?

a)

4

b)

8

c)

6

d)

10

15.

If LB = 4, what is CL?

a)

4

b)

8

c)

6

d)

10

16.

If NP = 5, what is CP?

a)

5

b)

8

c)

12

d)

10

17.

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

18.

Find the value of x

a)

x=28

b)

x=14

c)

x=23

d)

x=46

19.

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

20.

A centroid is formed by the point of concurrency of three __________ of a triangle.

a)

altitudes

b)

medians

c)

perpendicular bisectors

d)

angle bisectors