Q2 of 22 Page 5

What are the things which are double of the same thing called?

The things which are double of same thing are called equal to each other.


Consider a line A to be of 2 units and two other lines B and C which are double of A.


Now length of line B becomes 4 units and length of line C also becomes 4 units.


This implies length of line B and C are equal.


More from this chapter

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2 Which  of the following statemants are true and which are false?
(i) A straight line can be drawn from one point to another point.
(ii) The edges of the surfaces are points.
(iii) Infinitely many lines can be drawn through two points.
(iv) Two lines can have only one point in common. 1

Define the term Line segment.

 3

Define radius of circle.

 4

Consider two ‘postulates’ given below:

(i) Given any two distinct points A and B, there exists a third point C which is in between A and B.


(ii) 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.