Quiz about Partition Geometry

Question 1

Directed line segment AB is partitioned by point P into a ratio of 1:3. Which of the following represent this relationship?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 2

Find the point P that partitions the line segment AB given the ratio.
A (-5, 8) B(9, 3) with the ratio 2:5

Accepted Answer

(-1, 6.6)

Answer

(12, 1.6)

Answer

(-1, 7.6)

Answer

(13, 1.6)

Question 3

Find the point P that partitions the line segment AB given the ratio.
A (3, 5) B(4, 3) with the ratio 3:1

Accepted Answer

(3.75, 3.5)

Answer

(3.75, 2.5)

Answer

(4.75, 1.5)

Answer

(5.75, 1.5)

Question 4

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

Accepted Answer

(3.25, 4.5)

Answer

(3.75, 2.5)

Answer

(4.75, 1.5)

Answer

(5.75, 1.5)

Question 5

Find P, so that AP is two-sevenths of PB. A is a (-5, 8) and B is at (9, 3).

Accepted Answer

(-1, 46/7)

Answer

(12, 11/7)

Answer

(-1, 53/7)

Answer

(13, 11/7)

Question 6

What is the midpoint between (8, -3) and (2, 5)

Accepted Answer

(5, 1)

Answer

(10, 2)

Answer

(-5, -1)

Answer

(3, 4)

Question 7

What is the endpoint of the line segment if the other endpoint is (5, 1) and the midpoint is (3, 3)?

Accepted Answer

(1, 5)

Answer

(3, 3)

Answer

(5, 1)

Answer

None of the above

Question 8

Which point represents the given partition between the points below: (-2, 6) and (7, 9) 1:2

Accepted Answer

(1, 7)

Answer

(1.5, 7)

Answer

(2.5, 7.5)

Answer

(1, 8)

Question 9

Point M divides AB so that AM:MB = 1:2. If A has coordinates (-1, -3) and B has coordinates (8,9), find the coordinates of M.

Accepted Answer

(2, 1)

Answer

(5/3, 0)

Answer

(5, 5)

Answer

(23/3, 8)

Question 10

Find the coordinates of P so that P partitions segment AB in the ratio 5:1 with A = 2 and B = 8.

Accepted Answer

P = 7

Answer

P = 9

Answer

P = -3

Answer

P = 5

Question 11

Directed line segment AB is partitioned by point P into a ratio of 1:4. Which of the following represent this relationship?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 12

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 13

Find P, so that AP is three-elevenths of PB. Given the A (-6, -6) and B(-2, 1).

Accepted Answer

(-54/11, -45/11)

Answer

(-54/11, 32/11)

Answer

(-10/11, 32/11)

Answer

(-54/11, -1/11)

Question 14

Directed line segment AB is partitioned by point P into a ratio of 2:3. Which of the following represent this relationship?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 15

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

Accepted Answer

(1,2)

Answer

(0, 1)

Answer

(0, -1)

Answer

(2,1)

Question 16

Given the points A = -1 and B =7, find the point of the Point P on the directed line segment AB that partitions AB in the ratio 1:3. The coordinates of the point P are:

Accepted Answer

P = 1

Answer

P = 0

Answer

P = 3

Answer

P = -1

Question 17

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 a/(a+b)?

Accepted Answer

1/4

Answer

1/3

Answer

3/1

Answer

3/4

Partition Geometry

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