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A point has ………………. dimension(s).
A point has no dimensions. It has no length, no breadth and no height
A breadthless length is called :
A breadthless length is called a line
Things which are equal to the same thing are …………. to one another.
Things which are equal to the same thing are equal to one another
A surface has ………… dimension(s).
A surface has two dimensions i.e. length and breadth.
The edges of a surface are :
The edges of a surface are lines.
Number of points contained in a line is :
Number of points contained in a line is many.
A statement which we assume to be true is :
A statement which we assume to be true is an assumption.
Which of the following geometric terms is undefined ?
Point line and plane are undefined terms. From these three undefined terms all other terms can be defined.
If two lines do not intersect each other, then they
If two lines do not intersect each other then they are parallel.
According to Euclid’s axioms, things which are double of the same thing are ………….. one another.
Things which are double of the same thing are double one another.
Two distinct intersecting lines cannot be parallel to the same line. This statement is equivalent to Euclid’s :
Fifth postulate is two distinct intersecting lines cannot be parallels to the same line.
The three steps from solids to points are :
Solids Surfaces lines points
Euclid divided his famous treatise ‘The Elements’ into :
Euclid divided the elements into 13 chapters.
The total number of propositions in the Elements are :
There are 465 propositions in the elements
Boundaries of solids are :
Boundaries of solids are surfaces.
Boundaries of surfaces are :
Boundaries of surfaces are curves.
In Indus Valley Civilisation (about 300 B.C.), the bricks used for construction work were having dimensions in the ratio :
The bricks used for construction work were having the dimension 4 : 2 : 1
Euclid belongs to the country :
Euclid belongs to the country Greece.
Thales belongs to the country :
Thales belongs to the country Greece.
Pythagoras was a student of :
Pythagoras was a student of Thales.
Euclid’s second axiom is :
If equals be added to equals the wholes are equal
Euclid’s fifth postulate is :
Two distinct intersecting lines cannot be parallel to the same line.
Axioms are assumed :
Axioms are universial truth in all branch of mathematics.
It is known that if \(x + y = 10\), then \(x + y + z = 10 + z\). The Euclid’s axiom that illustrates this statement is :
This is second axiom
In ancient India, the shapes of altars used for house hold rituals were :
The shapes of altars used for house hold rituals were triangles and rectangles.
The number of interwoven isosceles triangles in Sriyantra (in the Atharvaveda) is :
The number of interwoven triangle in Sriyantra is 9.
Greek’s emphasised on :
Greek’s emphasised on deductive reasoning.
In Ancient India, Altars with combination of shapes like rectangles, triangles and trapeziums were used for :
Altars with the combination of shapes like rectangles, triangles were used for household rituals
For every line l and for every point P not lying on l, there exists a unique line m passing through P and parallel to l. This statement is equivalent version of Euclid’s :
Second postulate states that for every line l and for every point P not lying on l there exists a unique line m passing through P and parallel to l.
John is of the same age as Mohan. Ram is also of the same age as Mohan. State the Euclid’s axiom that illustrates the relative ages of John and Ram.
First Axiom states the relative ages of John and Ram.
Euclid stated that all right angles are equal to each other in the form of :
Euclid stated that all right angles are equal to each other in the form of fourth postulate.
Euclid stated that if equals are subtracted from equals, the remainders are equals in the form of
Euclid stated that if equals are subtracted from equals the remainders are equal in the form of axiom
Which of the following is an example of a geometrical line?
Sheet of paper.
Which of the following needs a proof ?
Theorem is a proposition that needs a proof.
Two intersecting lines cannot be parallel to the same line’ is stated in the form of :
It is defined by an axiom word.