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First Four Postulates

If 2 x =2 y, ...

Question

If 2x = 2y, then x = y. Mention the postulate used.

A

Things which coincide with one another are equal to one another.

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B

Things which are equal to the same thing are equal to one another.

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C

Things which are double of the same things are equal to one another.

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D

The whole is greater than the part

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Solution

The correct option is C Things which are double of the same things are equal to one another.
Things which are double of the same things are equal to one another.

The double of x and y are 2x and 2y. So, if 2x = 2y, then x = y.

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Similar questions

Q. The length of the side of an equilateral triangle is 6 cm. Compare the length with its perimeter and identify which postulate is applicable here.

Q. Statement 1: Things which coincide with one another may or may not be equal to one another.
Statement 2 :Things which are double of the same things are equal to one another.
Choose the correct option(s) from the following :

Q. Read the following axioms:
(i) Things which are equal to the same thing are equal to one another.
(ii) If equals are added to equals, the wholes are equal.
(iii) Things which are double of the same thing are equal to one another.
Check whether the given system of axioms is consistent or inconsistent.

Q. The things which are double of the same thing are equal to one another.

Q. Things which are equal to the same thing are _____ to one another.

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