SEPARATION OF POINTS AND COLLINEAR POINTS WORKSHEET

Find the value of x if A, B and C are collinear points and B is between A and C.

Problem 1 :

AB = 6x, BC = x - 5, AC = 23

Solution

Problem 2 :

AB = 5, BC = 3x + 7, AC = 5x - 2

Solution

Problem 3 :

AB = 2x, BC = x - 2, AC = 28

Solution

Problem 4 :

AB = 3x, BC = 2x - 7, AC = 2x + 35

Solution

Problem 5 :

AB = 5x - 1, BC = 14, AC = 25 - x

Solution

Problem 6 :

Find the distance between S and F.

separation-of-points-s6

Solution

Problem 7 :

Find the distance between S and H.

separation-of-points-s6

Solution

Answer Key

1)

separation-of-points-s1

So, the value of x is 4.

2)

separation-of-points-s2

So, the value of x is 7.

3)

separation-of-points-s3

So, the value of x is 10.

4) 

separation-of-points-s4

So, the value of x is 14.

5)

separation-of-points-s5

So, the value of x is 2.

6)  distance between S and F is 5 units.

7) distance between S and H is 1 unit.

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