Advertisements
Advertisements
Question
Given three distinct points in a plane, how many lines can be drawn by joining them?
Advertisements
Solution
Given three distinct points A, B and C in a plane, they can either be collinear or non collinear.
If they are collinear, then there can be only one line joining them.
If they are non collinear, then there can be three lines joining them.
For example, if we have three distinct non collinear points P, Q and R. Then we can draw three lines l, mand n joining 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
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
The three steps from solids to points are ______.
Euclid divided his famous treatise “The Elements” into ______.
Boundaries of surfaces are ______.
Which of the following needs a proof?
‘Lines are parallel, if they do not intersect’ is stated in the form of ______.
If a quantity B is a part of another quantity A, then A can be written as the sum of B and some third quantity C.
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.
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.
