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 true? ​

Answer 1

Answer:

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➡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.

Step-by-step explanation:

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Answer 2

Answer:

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The given condition is A,B,C are three points on line and B lies between A and C. ... the complete line is AC and B is point on it. Hence, AC is classified into two different parts including AB and BC. And hence, AC=AB+BC.

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