The statements that are proved are called axioms. Is the given statement true or false? Justify your answer

Solution:

We know that

Axioms are statements that are self-evident and are accepted without any proof.

A few statements need proof and verification experimentally in order to establish themselves.

This type of statement is known as theory

Therefore, the statement is false.

✦ Try This: Lekha and Rajath have the same weight. If they each gain weight by 20 kg, how will their new weights be compared ?

Given, Lekha and Rajath have the same weight.

We have to compare their new weights when each of them gains 20kg.

Let the weight of Lekha be x kg

So, weight of Rajath = x kg

When each gain weight by 20kg,

Weight of Lekha = (x + 20) kg

Weight of Rajath = (x + 20) kg

Using Euclid’s second axiom,

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

From the Euclid’s axiom,

(x + 20) = (x + 20)

Therefore, the weight of Lekha is equal to the weight of Rajath.

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

NCERT Exemplar Class 9 Maths Exercise 5.2 Problem 6

The statements that are proved are called axioms. Is the given statement true or false? Justify your answer

Summary:

Euclid used the term postulate for the assumptions that were specific to geometry and otherwise called axioms. The statement “The statements that are proved are called axioms” is false

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