Draw any line segment, say AB. Take any point C lying in between A and B. Measure the lengths of AB, BC and AC. Is AB = AC +CB? [Note: If A, B, C are any three points on a line, such that AC + CB = AB, then we can be sure that C lies between A and B.]

If AC + CB = AB, then A, B, and C are said to be collinear points.

Answer: This statement is true that if A, B, C are any three points on a line, such that AC + CB = AB, then we can be sure that C lies between A and B.

Lets verify AC + CB = AB by an example.

Explanation

To prove, AB = AC + CB let’s draw a line segment AB = 8 cm

Now, take any point C on the line segment AB.

Now measure the AC and CB

Now we see that, AB = AC + CB = 6 cm + 2 cm = 8 cm

Hence, AB = AC + CB