WORKSHEET ON COLLINEARITY OF THREE POINTS

Points A, B and C are collinear. Point B is between A and C. Find the length indicated.

Problem 1 :

Find AC if AB = 16 and BC = 12.

Solution

Problem 2 :

Find AC if AB = 13 and BC = 9.

Solution

Points A, B and C are collinear. Point B is between A and C. Solve for x.

Problem 3 :

AC = 3x + 3, AB = -1 + 2x, and BC = 11. Find x.

Solution

Problem 4 :

AC = 22, BC = x + 14, and AB = x + 10. Find x.

Solution

Solve for x :

Problem 5 :

Solution

Solve for x :

Problem 6 :

Solution

Problem 7 :

Points A, B, C, D and E are collinear and in that order. Find AC if AE = x + 50 and CE = x + 32.

Solution

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.

Solution

Problem 7 :

Find the distance between S and H.

Solution