Advertisements
Advertisements
Question
The following statement is true or false? Give reason for your answer.
Only one line can pass through a single point.
Options
True
False
Solution
This statement is False.
Explanation:
Since, through a single point, an infinite number of lines can pass. In the following figure, it can be seen that there are infinite numbers of lines passing through a single point P.
APPEARS IN
RELATED QUESTIONS
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
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.
Euclid divided his famous treatise “The Elements” into ______.
The total number of propositions in the Elements are ______.
It is known that if x + y = 10 then x + y + z = 10 + z. The Euclid’s axiom that illustrates this statement is ______.
Euclid stated that all right angles are equal to each other in the form of ______.
The statements that are proved are called axioms.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have BX = `1/2` AB, BY = `1/2` BC and AB = BC. Show that BX = BY.
In the following figure BM = BN, M is the mid-point of AB and N is the mid-point of BC. Show that AB = BC.
The following statement is true or false? Give reason for your answer.
If two circles are equal, then their radii are equal.