Euclid’s second axiom (as per order given in the Textbook for Class IX) is
a. The things which are equal to the same thing are equal to one another
b. If equals be added to equals, the wholes are equal
c. If equals be subtracted from equals, the remainders are equals
d. Things which coincide with one another are equal to one another

Solution:

We know that

Euclid’s second axiom is “If equals be added to equals, the wholes are equal”.

Therefore, Euclid's second axiom is “If equals be added to equals, the wholes are equal”.

✦ Try This: Mano and Pradeep have the same weight. If they each gain weight by 5 kg, how will their new weights be compared ?

Given, Mano and Pradeep have the same weight.

We have to compare their new weights when each of them gains 5kg.

Let the weight of Mano be x kg

So, weight of Pradeep = x kg

When each gain weight by 5kg,

Weight of Mano = (x + 5) kg

Weight of Pradeep = (x + 5) kg

Using Euclid’s second axiom,

If equals are added to the equals, the wholes are equal.

From the Euclid’s axiom,

(x + 5) = (x + 5)

Therefore, the weight of Mano is equal to the weight of Pradeep.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 5

NCERT Exemplar Class 9 Maths Exercise 5.1 Sample Problem 1

Euclid’s second axiom (as per order given in the Textbook for Class IX) is a. The things which are equal to the same thing are equal to one another, b. If equals be added to equals, the wholes are equal, c. If equals be subtracted from equals, the remainders are equals, d. Things which coincide with one another are equal to one another

Summary:

Euclid’s second axiom (as per order given in the Textbook for Class IX) is If equals be added to equals, the wholes are equal

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