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. Is the given statement true or false? Justify your answer

Solution:

Consider a quantity A having two parts B and C

When A coincide with B and C

From the fourth Euclidean Axiom

Things which coincide with one another are equal to one another

A = B + C

Therefore, the statement is true.

✦ Try This: Write the correct answer: Nisha is of the same age as Nagesh. Supritha is also of the same age as Nagesh. State the Euclid’s axiom that illustrates the relative ages of Nisha and Supritha a. First Axiom, b. Second Axiom, c. Third Axiom, d. Fourth Axiom

It is given that

Age of Nisha = Age of Nagesh

Age of Supritha = Age of Nagesh

According to Euclid’s first axiom, the things which are equal to the same thing are equal to one another.

So using the Euclid’s first axiom

Age of Nisha = Age of Supritha

Therefore, Euclid’s first axiom can be used here.

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

NCERT Exemplar Class 9 Maths Exercise 5.2 Problem 5

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. Is the given statement true or false? Justify your answer

Summary:

The statement “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” is true

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