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प्रश्न
Give a definition of the following term. Are there other terms that need to be defined first? What are they, and how might you define them?
line segment
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उत्तर
Yes, we need to understand terms like point, line, ray, angle, plane, circle, and quadrilateral before defining the required terms.
A line segment is a part of a line with a definite length and two end points. In the figure, a line segment has end points A and B. It is written as `bar(AB)` or `bar(BA)`.
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संबंधित प्रश्न
Consider two ‘postulates’ given below:-
- Given any two distinct points A and B, there exists a third point C which is in between A and B.
- There exist at least three points that are not on the same line.
Do these postulates contain any undefined terms? Are these postulates consistent? Do they follow from Euclid’s postulates? Explain.
How many planes can be made to pass through a line and a point not on the line?
The number of dimension, a point has ______.
Boundaries of solids are ______.
In ancient India, the shapes of altars used for household rituals were ______.
Euclid belongs to the country ______.
The things which are double of the same thing are equal to one another.
Solve the following question using appropriate Euclid’s axiom:
Two salesmen make equal sales during the month of August. In September, each salesman doubles his sale of the month of August. Compare their sales in September.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have ∠1 = ∠2, ∠2 = ∠3. Show that ∠1 = ∠3.
Read the following axioms:
- Things which are equal to the same thing are equal to one another.
- If equals are added to equals, the wholes are equal.
- Things which are double of the same thing are equal to one another.
Check whether the given system of axioms is consistent or inconsistent.
