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प्रश्न
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.]
उत्तर
It is given that point C is lying somewhere in between A and B. Therefore, all these points are lying on the same line segment `overline"AB"`. Hence, for every situation at which point C is lying in between A and B, it may be said that AB = AC + CB.
For example,
`overline"AB"` is a line segment of 6 cm and C is a point between A and B, such that it is 2 cm away from point B. We can find that the measure of line segment `overline"AC"` comes to 4 cm.
Hence, relation AB = AC + CB is verified.
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संबंधित प्रश्न
Measure the following line segments.
From the given figure, name
(i) all pairs of parallel lines.
(ii) all pairs of intersecting lines.
(iii) pair of lines whose point of intersection is ‘V’.
(iv) point of intersection of the lines ‘l2‘ and ‘l3‘.
(v) point of intersection of the lines ‘l1‘, and ‘l5‘
Find the type of lines marked in thick lines
Find the type of lines marked in thick lines
Find the parallel and intersecting line segments in the picture given below.
Think and write an object having
- Parallel lines (1) __________ (2) __________ (3) __________
- Perpendicular lines (1) __________ (2) __________ (3) __________
- Intersecting lines (1) __________ (2) __________ (3) __________
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?
Verify, whether D is the midpoint of `overline"AG"`.
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?