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Worksheets

Segment Ratios

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Determine the ratio of the directed line segment AB when partitioned by point P.

a)

1:2

b)

2:1

c)

1:1

d)

3:1

e)

1:4

2.

Determine the ratio of the directed line segment AB when partitioned by point P.

a)

1:2

b)

2:1

c)

1:1

d)

3:1

e)

1:4

3.

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

a)
b)
c)
d)
4.

What is the ratio of blue triangles to red squares?

a)

4 : 3

b)

3 : 4

c)

4 : 7

5.

Find the coordinate that divides AZ into a ratio 1:3. _

6.

Partition the segment AB with A being (1,-3) and B being (-2,6) with a ratio of 7:2

a)

(4/3 , 4)

b)

(3/4 , 3)

c)

(-4/3 , 4)

d)

(-4/3 , -4)

7.

Partition the segment AB with A being (-2,-5) and B being (6,3) with a ratio of 1:3

a)

(1,1)

b)

(0,-3)

c)

(3,0)

d)

(4,1)

8.

Find the coordinates of point P that partitions segment AB into a ratio of 2:1.

a)

(2, 1)

b)

(1, 2)

c)

(1, -1)

d)

None of the above

9.

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.

a)

(1,5)

b)

(0,4)

c)

(3, 1)

d)

(-1, 1)

10.

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

a)

(12, 1.6)

b)

(-1, 7.6)

c)

(-1, 6.6)

d)

(13, 1.6)

11.

Partition the segment AB with A being (-2,-5) and B being (6,3) with a ratio of 7:1

a)

(5,2)

b)

(-1,-4)

c)

(2,5)

d)

(3,0)

12.
13.

What is the point that partitions AB into a 3:1?

a)

(-4, -3)

b)

(4, 1)

c)

(0, -1)

d)

(3, 1)

14.

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. 

a)

(1,5)

b)

(3,7)

c)

(4,4)

d)

(5,8)

15.

Find the point C that breaks the directed segment AB in to a ratio of 1:2

Write your answer in the coordinate form (x, y)

(a)  

16.

Point P lies on AB with endpoints A(-7, 7) and B(11, -8). Find the coordinates of P that make the ratio of AP to PB 1:2.

x = ​ ​ ​ ​ (a)   ​

y = ​ (b)  

Choose from the below words

3

4

2

17.

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

a)
b)
c)
d)
18.

Find the missing length indicated.

a)

30

b)

25

c)

45

d)

50

19.

Find the missing length indicated. 

a)

16

b)

8

c)

10

d)

14

20.

Find the missing length indicated.

a)

42

b)

11

c)

21

d)

30