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Question
Verify, whether D is the midpoint of `overline"AG"`.
Solution
From the given figure, it can be observed that
`overline"AD"` = 4 − 1 = 3 units
`overline"DG"` = 7 − 4 = 3 units
`overline"AG"` = 7 − 1 = 6 units
Clearly, D is the mid-point of AG.
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What is the disadvantage of comparing line segments by mere observation?
Why is it better to use a divider than a ruler, while measuring the length of a line segment?
Draw any line segment, say `overline"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, and 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 A, B, and 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?
If B is the midpoint of `overline"AC"` and C is the midpoint of `overline"BD"`, where A, B, C, and D lie on a straight line, say why AB = CD?
