Question

If A (-14, -10), B (6, -2) are given, find the coordinates of the points which divide segment AB into four equal parts.

Answer 1

Let the points C, D and E divide seg AB in four equal parts.

Point D is the midpoint of seg AB. 

∴ By midpoint formula,

∴ Co-ordinates of D are (-4, -6). 

Point C is the midpoint of seg AD. 

∴ By midpoint formula,

∴ Co-ordinates of C are (-9, -8). 

Point E is the midpoint of seg DB. 

∴ By midpoint formula,

∴ Co-ordinates of E are (1,-4). 

∴ The co-ordinates of the points dividing seg AB in four equal parts are C(-9, -8), D(-4, -6) and E(1, – 4).