Question

IF A,B AND c are three points on a line and b lies between a and c then which of the following is tru

Answer 1

Let A, B, and C be three distinct points of a line, with the respective coordinates x, y, and z. If x < y < z, then A-B-C.
Proof, By the ruler postulate:
AB = |y-x|
BC = |z-y|
AC = |z-x|.
But y-x is positive because x < y; similarly, z-y and z-x are positive. So:
AB = y-x
BC = z-y
AC = z-x
Finally:
AB + BC = (y - x) + (z - y)
= z-x
=AC.
Since AB + BC = AC, A-B-C by the definition of between.If A, B and C are three points on a line, and B lies between A and C.