Which of the following is NOT a Euclid's postulate?

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We can describe a circle with any center and radius.

All right angles are equal to one another.

There is a unique line that passes through two given points.

Through a point not on a given line, exactly one parallel line may be drawn to the given line.

answer is D.

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Detailed Solution

It is given statements.
We know that “We can describe a circle with any center and radius” is postulate III,
“All right angles are equal to one another” is postulate IV,
“There is a unique line that passes through two given points” is postulate I.
From the given options the following statement is not Euclid's postulate.
“Through a point not on a given line, exactly one parallel line may be drawn to the given line”.
So, the correct option is 4.

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