Advertisements
Advertisements
Question
How many lines can be drawn through both of the given points?
Advertisements
Solution
Given two distinct points, only one unique line can be drawn passing through both of them.
For example, if we have two distinct points A and B, only one line is there which passes through both of them.
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?
perpendicular lines
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.
The number of dimensions, a surface has ______.
Boundaries of solids are ______.
Euclid stated that all right angles are equal to each other in the form of ______.
The things which are double of the same thing are equal to one another.
“For every line l and for every point P not lying on a given line l, there exists a unique line m passing through P and parallel to l ” is known as Playfair’s axiom.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have AB = BC, BX = BY. Show that AX = CY.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have AC = DC, CB = CE. Show that AB = DE.
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.
