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Which of the following is not a postulate of Euclidean geometry?A.A straight line segment can be drawn between any two points.B.Through a given point not on a given line, there is exactly one line parallel to the given line.C.Any straight line segment can be extended indefinitely.D.All right angles can be bisected.

Question

Which of the following is not a postulate of Euclidean geometry?A.A straight line segment can be drawn between any two points.B.Through a given point not on a given line, there is exactly one line parallel to the given line.C.Any straight line segment can be extended indefinitely.D.All right angles can be bisected.

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Solution 1

The statement "All right angles can be bisected" is not a postulate of Euclidean geometry. The other three statements are indeed postulates of Euclidean geometry.

Solution 2

The statement "All right angles can be bisected" is not a postulate of Euclidean geometry. The other three statements are indeed postulates of Euclidean geometry.

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