Easy
Write whether the following statement is True or False. Justify your answer.
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 $C$.
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 $C$.
(TRUE) The given statement is True.
According to Euclid's Axiom,"The whole is greater than the part."
Specifically,Euclid's third common notion states that if a quantity $B$ is a part of another quantity $A$,there exists another quantity $C$ such that $A = B + C$.
According to Euclid's Axiom,"The whole is greater than the part."
Specifically,Euclid's third common notion states that if a quantity $B$ is a part of another quantity $A$,there exists another quantity $C$ such that $A = B + C$.
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$A$ line is a length without $\ldots \ldots \ldots$
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View SolutionThe word $\ldots \ldots \ldots$ is used for the line segment by Euclid.
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View SolutionSolve the following question using the appropriate Euclid's axiom:
In the figure,we have $BX = \frac{1}{2} AB$,$BY = \frac{1}{2} BC$ and $AB = BC$.
Show that $BX = BY$.
In the figure,we have $BX = \frac{1}{2} AB$,$BY = \frac{1}{2} BC$ and $AB = BC$.
Show that $BX = BY$.
Medium
View SolutionState whether the following statement is True or False. Justify your answer.
If the area of a triangle equals the area of a rectangle and the area of the rectangle equals that of a square,then the area of the triangle also equals the area of the square.
If the area of a triangle equals the area of a rectangle and the area of the rectangle equals that of a square,then the area of the triangle also equals the area of the square.
Easy
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