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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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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.

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