It is known that if x + y = 10 then x + y + z = 10 + z. The Euclid’s axiom that illustrates this statement is :
a. First Axiom
b. Second Axiom
c. Third Axiom
d. Fourth Axiom

Solution:

The equation given is

x + y = 10

By adding z on both sides

x + y + z = 10 + z

Here z is added to quantities which are equal

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

Euclid’s second axiom illustrates this statement.

Therefore, the Euclid’s second axiom illustrates this statement.

✦ Try This: What is a theorem?

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

NCERT Exemplar Class 9 Maths Exercise 5.1 Problem 12

It is known that if x + y = 10 then x + y + z = 10 + z. The Euclid’s axiom that illustrates this statement is : a. First Axiom, b. Second Axiom, c. Third Axiom, d. Fourth Axiom

Summary:

It is known that if x + y = 10 then x + y + z = 10 + z. The Euclid’s axiom that illustrates this statement is Second Axiom

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