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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.A circle can be drawn with any center and radius.D.All equilateral triangles have interior angles equal to 60 degrees.

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.A circle can be drawn with any center and radius.D.All equilateral triangles have interior angles equal to 60 degrees.

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Solution

The statement that is not a postulate of Euclidean geometry is D. "All equilateral triangles have interior angles equal to 60 degrees." While this statement is true, it is not a postulate but rather a theorem that can be proven using Euclid's postulates.

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