Q4 of 45 Page 88

If A, B, C are three points on a line such that AB = 5 cm, BC = 3 cm and AC = 8 cm, which one of them lies between the other two?

As we can see the greatest length is 8 cm in the given data.


So, we draw a line of 8 cm and mark the first point on 5 cm on the same line. Now the remaining portion is of 3 cm length.


Now name the line according to its length as AB = 5cm, so starting point will be A, point B will be at 5 cm and the endpoint is C as AC is 3cm.


As shown in the figure (given figure is a rough diagram)


Untitled22.jpg


Now if we look closer we can see that AB and BC together form the complete line AC.


Point B lies between A and C.


More from this chapter

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2

Why is it better to use a divider than a ruler; while measuring the length of a line segment?

3

Draw any line segment, say . 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.]

5

Verify, whether D is the mid-point of AG.

6

If B is the mid-point of and C is the mid-point of, where A, B, C, D lie on a straight line, say why AB = CD?