Suppose the points C, D, E and F divide seg AB in five congruent parts.
∴ AC = CD = DE = EF = FB
\(\therefore\) Point C divides seg AB in the ratio 1 : 4.
By section formula,
∴ co-ordinates of C are (16, 12).
E is the midpoint of seg CB.
By midpoint formula,
∴ co-ordinates of E are (8, 16).
D is the midpoint of seg CE.
\(\therefore\) co-ordinates of D are (12, 14).
F is the midpoint of seg EB.
∴ co-ordinates of F are (4, 18).
∴ The co-ordinates of the points dividing seg AB in five congruent parts are C (16, 12), D (12, 14), E (8, 16) and F (4, 18).
