(B) Given that $x+y=10$ and $x=z$.According to Euclid's second axiom,if equals are added to equals,the wholes are equal.Since $x=z$,we can add $y$ to

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(B) Given that $x+y=10$ and $x=z$.According to Euclid's second axiom,if equals are added to equals,the wholes are equal.Since $x=z$,we can add $y$ to both sides of the equation $x=z$:$x+y = z+y$.We are given that $x+y=10$. Substituting $10$ for $x+y$ in the equation above:$10 = z+y$.Therefore,$z+y=10$.

Class 9 Mathematics Introduction to Euclid’s Geometry Mix Examples - Introduction to Euclid’s Geometry

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Solve the following question using appropriate Euclid's axiom:
It is known that $x+y=10$ and that $x=z$. Show that $z+y=10$.

A
Euclid's Axiom $1$
B
Euclid's Axiom $2$
C
Euclid's Axiom $3$
D
Euclid's Axiom $4$

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Introduction to Euclid’s Geometry

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Mix Examples - Introduction to Euclid’s Geometry

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Euclid divided his famous treatise 'The Elements' into $\ldots \ldots \ldots$ chapters.

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Solve the following question using appropriate Euclid's axiom:It is known that $x+y=10$ and that $x=z$. Show that $z+y=10$.

Similar Questions

In the figure,if $\angle 1 = \angle 3$,$\angle 2 = \angle 4$ and $\angle 3 = \angle 4$,write the relation between $\angle 1$ and $\angle 2$,using an Euclid's axiom.

Euclid divided his famous treatise 'The Elements' into $\ldots \ldots \ldots$ chapters.

$A$ surface is that which has $\ldots \ldots \ldots$ only.

In ancient India,$\ldots \ldots \ldots$ altars were used for household rituals.

State whether the following statement is true or false:There are an infinite number of lines which pass through two distinct points.

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Solve the following question using appropriate Euclid's axiom:
It is known that $x+y=10$ and that $x=z$. Show that $z+y=10$.

State whether the following statement is true or false:
There are an infinite number of lines which pass through two distinct points.