(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

Easy

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

Write whether the following statement is True or False. Justify your answer.
The things which are double of the same thing are equal to one another.

Easy

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Solve the following question using an appropriate Euclid's axiom:
In the figure,$X$ and $Y$ are the mid-points of $AC$ and $BC$ respectively,and $AX = CY$. Show that $AC = BC$.

Medium

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'Lines are parallel if they do not intersect' is stated in the form of

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If $P$,$Q$,and $R$ are three points on a line,and $Q$ lies between $P$ and $R$ [see figure],then prove that $PQ + QR = PR$.

Easy

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Ram and Ravi have the same weight. If they each gain weight by $2\, kg$,how will their new weights be compared?

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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

Write whether the following statement is True or False. Justify your answer.The things which are double of the same thing are equal to one another.

Solve the following question using an appropriate Euclid's axiom:In the figure,$X$ and $Y$ are the mid-points of $AC$ and $BC$ respectively,and $AX = CY$. Show that $AC = BC$.

'Lines are parallel if they do not intersect' is stated in the form of

If $P$,$Q$,and $R$ are three points on a line,and $Q$ lies between $P$ and $R$ [see figure],then prove that $PQ + QR = PR$.

Ram and Ravi have the same weight. If they each gain weight by $2\, kg$,how will their new weights be compared?

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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 $z+y=10$.

Write whether the following statement is True or False. Justify your answer.
The things which are double of the same thing are equal to one another.

Solve the following question using an appropriate Euclid's axiom:
In the figure,$X$ and $Y$ are the mid-points of $AC$ and $BC$ respectively,and $AX = CY$. Show that $AC = BC$.