Which of the following are among the five basic postulates of Euclidean geometry?Check all that apply.A.Through a point not on a given line, there are exactly two lines perpendicular to the given line.B.A circle can be drawn with any center and radius.C.Through a point not on a given line, there is exactly one line parallel to the given line.D.All right angles are equal to one another.SUBMITarrow_backPREVIOUS
Question
Which of the following are among the five basic postulates of Euclidean geometry?Check all that apply.A.Through a point not on a given line, there are exactly two lines perpendicular to the given line.B.A circle can be drawn with any center and radius.C.Through a point not on a given line, there is exactly one line parallel to the given line.D.All right angles are equal to one another.SUBMITarrow_backPREVIOUS
Solution
The correct postulates according to Euclidean geometry are:
B. A circle can be drawn with any center and radius. C. Through a point not on a given line, there is exactly one line parallel to the given line. D. All right angles are equal to one another.
Postulate A is not a basic postulate of Euclidean geometry. In Euclidean geometry, there is only one line that can be drawn through a point not on a given line that is perpendicular to the given line.
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