Question

12. If A (20, 10), B(0, 20) are given, find the coordinates of the points which divide segment AB into five congruent parts.​

Answer 1

Answer:

Suppose the points C, D, E and F divide seg AB in five congruent parts.

∴ AC = CD = DE = EF = FB

∴ co-ordinates of C are (16, 12).

E is the midpoint of seg CB.

By midpoint formula,

∴ co-ordinate of E are (8, 16).

D is the midpoint of seg CE.

∴ 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).