Quiz about Partitioning

Question 1

Find the point P that partitions the line segment BA given the ratio.

A(9, 3) B(-5, 8) with the ratio 2:5

Accepted Answer

(-1, 46/7)

Answer

(12, 11/7)

Answer

(-1, 53/7)

Answer

(13, 11/7)

Question 2

Find the point P that partitions the line segment AB given the ratio.

A (7, -2) B(4, 0) with the ratio 1:4

Accepted Answer

(32/5, -8/5)

Answer

(17/5, 2/5)

Answer

(32/5, 22/5)

Answer

(-13/5, 2/5)

Question 3

Find the point P that partitions the line segment BA given the ratio.

A(9, 3) B(-5, 8) with the ratio 2:5

Accepted Answer

(-1, 46/7)

Answer

(12, 11/7)

Answer

(-1, 53/7)

Answer

(13, 11/7)

Question 4

Find the point P that partitions the line segment AB given the ratio.

A (7, -2) B(4, 0) with the ratio 1:4

Accepted Answer

(32/5, -8/5)

Answer

(17/5, 2/5)

Answer

(32/5, 22/5)

Answer

(-13/5, 2/5)

Question 5

Find the point P that partitions the line segment AB given the ratio.

A (-6, -6) B(-2, 1) with the ratio 3:8

Accepted Answer

(-54/11, -45/11)

Answer

(-54/11, 32/11)

Answer

(-10/11, 32/11)

Answer

(-54/11, -1/11)

Question 6

Find the point P that partitions the line segment BA given the ratio.

A(4, 3) B(3, 5) with the ratio 3:1

Accepted Answer

(15/4, 7/2)

Answer

(15/4, 5/2)

Answer

(19/4, 3/2)

Answer

(23/4, 3/2)

Question 7

Given the points A(-1,2) and B(7,14), find the coordinates of the point P on directed line segment AB that partitions AB into a ratio 1:3.

Accepted Answer

(1,5)

Answer

(3,7)

Answer

(4,4)

Answer

(5,8)

Question 8

Given the points A(7,-2) and B(-2,4), find the coordinates of the point P on directed line segment BA that partitions BA in a the ratio 1:2.

Accepted Answer

(1,2)

Answer

(3,1)

Answer

(4,3)

Answer

(0,1)

Question 9

Given the points A(-3,-5) and B(5,0), find the coordinates of the point P on directed line segment AB that partitions AB in a the ratio 2:3.

Accepted Answer

(0.2,-3)

Answer

(0.5,-2.2)

Answer

(1/5, -5/2)

Answer

(0,-2)

Question 10

Find the point P that partitions the line segment AB given the ratio.

A (7, -2) B(4, 0) with the ratio 1:4

Accepted Answer

(32/5, -8/5)

Answer

(32/5, 22/5)

Answer

(17/5, 2/5)

Answer

(-13/5, 2/5)

Question 11

Given the points A(-1,2) and B(7,14), find the coordinates of the Point P on the directed line segment AB that partitions AB in the ratio 1:3.

In the above problem, what is the value of the percent ratio?

Accepted Answer

1/4

Answer

1/3

Answer

8

Answer

-8

Question 12

Given the points A(-1,2) and B(7,14), find the coordinates of the Point P on the directed line segment AB that partitions AB in the ratio 1:3.

For the above problem, what is the value for the x-component and y-component?

Accepted Answer

(8, 12)

Answer

(6, 12)

Answer

(6, 16)

Answer

(-8, -12)

Question 13

Number Line Problem:

Find the point B that will divide the segment AC in a 4:1 ratio. Point A is at -3 and Point C is at 7.

Accepted Answer

5

Answer

-1

Answer

1

Answer

3

Question 14

Number Line Problem:

Find the point M that will divide the segment PQ in a 2:5 ratio. Point P is at -10 and Point Q is at 4.

Accepted Answer

-6

Answer

-8

Answer

0

Answer

2

Question 15

Find the point that is 3/4th of the distance from Y to X.

Accepted Answer

(2, -4)

Answer

(-6, -2)

Answer

(-22/7, -19/7)

Answer

(-6/7, -23/7)

Question 16

Find the point that is 2/3rds of the distance from K to J.

Accepted Answer

(-1, -2)

Answer

(1, 1)

Answer

(0.6, 0.4)

Answer

(-0.6, -1.4)

Question 17

Find the point that is 2/3rds of the distance from J to K.

Accepted Answer

(1, 1)

Answer

(-1, -2)

Answer

(-0.6, -1.4)

Answer

(0.6, 0.4)

Question 18

Find the point that is 2/5th of the distance from D to C.

Accepted Answer

(-1, 2)

Answer

(-11/7, 22/7)

Answer

(0,0)

Answer

(4/7, -8/7)

Partitioning

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