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Centroid Coordinate Points

Total questions: 11

Worksheet time: 11mins

Name
Class
Date
1.

Two of the vertices of a triangle ABC are given by A(6, 4) and B(–2, 2) and its centroid is G(3, 4). Find the coordinates of the third vertex C of the ΔABC.

a)

(2, 3)

b)

(4, 6)

c)

( 4,3 )

d)

( 5,6 )

2.

What are the coordinates of Point D?

a)

(-3,-2)

b)

(-2,-3)

3.

The Planning Committee for Chester wants to put a stage in the middle of the park.  The park is in the shape of a rhombus and the committee assigned the vertices the coordinates (-5, 7), (6, 4), (-1, -5) and (-12, -2).  What will be the coordinate of the stage?

a)

(19, 13)

b)

(0.5, 5.5)

c)

(-3, 1)

d)

(3, -1)

4.

What are the coordinates of L?

a)

(6,6)

b)

(2,5)

c)

(2,3)

d)

(5,2)

5.

The centroid of the triangle formed by the points (-4,6),(2,-2) and (2,5)

a)

(0,3)

b)

(1,2)

c)

(2,1)

d)

(3,0)

6.

Centriod(G) of the circle is Origin find (x,y)

a)

((-5,-1)

b)

(-1,-5)

c)

(-4,-3)

d)

(-1,-3)

7.

Find the mid point of (4,4) and (6,6)

a)

(4,6)

b)

(5,5)

c)

(0,0)

d)

(2,2)

8.

Given triangle MNP with coordinates M (12, 13), N (-11, 12), P (-16, -4). What is the y-coordinate of the centroid?

(a)  

Choose from the below words

7

11

6

21

9.

On the number line, the coordinates of points A and B are 11 and 23, respectively. If the weight of A is 1/3 and the weight of B is 4/6, what is the weighted average of the points? Enter NUMBERS only!

(a)  

10.

Which statements are true? Select All That Apply!

a)

w1 is less than w2

b)

w1 is closer to point A than point B

c)

w2 is closer to point B than point A

d)

The value of w1 is 23

e)

The value of w1 is 26

11.

Points K and L are shown on the number line. If the weights of K and L are the same, which statement is true?

a)

The weighted average of K and L cannot be determined.

b)

The weighted average of K and L is greater than 4.5

c)

The weighted average of K and L is less than 4.5

d)

The weighted average of K and L is 4.5