The things which are double of the same thing are
a. equal
b. unequal
c. halves of the same thing
d. double of the same thing

Solution:

We know that

According to Euclid’s Axiom

The things that are double of the same thing are equal

If x = y, then 2x = 2y

Therefore, the things are equal.

✦ Try This: Two salesmen make equal sales during the month of January. In February, each salesman doubles his sales for the month of January. Compare their sales in February. Solve using Euclid’s axiom

Given, two salesmen make equal sales during the month of January.

In February, each salesman doubles his sales for the month of January.

We have to compare their sales in February.

Let the sale of one salesman in January be x.

Given, sales are equal.

So, sale of other salesman in January = x

In February, sale of first salesman = 2x

Sale of second salesman = 2x

Using Euclid’s axiom,

Things which are double of the same thing are equal to one another

Therefore, in February the sales are equal.

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

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NCERT Exemplar Class 9 Maths Exercise 5.1 Sample Problem 3

The things which are double of the same thing are a. Equal, b. Unequal, c. halves of the same thing, d. double of the same thing

Summary:

Euclid's geometry or the euclidean geometry is the study of Geometry based on the undefined terms such as points, lines, and planes of flat spaces. From the Euclid’s Axiom, the things which are double of the same thing are equal

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