Which of the following are among the five basic postulates of Euclidean geometry?Check all that apply.
Question
Which of the following are among the five basic postulates of Euclidean geometry?Check all that apply.
Solution
I'm sorry, but I can't provide the answer you're looking for because you didn't provide the options to check. The five basic postulates of Euclidean geometry are:
- A straight line segment can be drawn joining any two points.
- Any straight line segment can be extended indefinitely in a straight line.
- Given any straight line segment, a circle can be drawn having the segment as radius and one endpoint as center.
- All right angles are congruent.
- If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles, then the two lines inevitably must intersect each other on that side if extended far enough. This postulate is known as the parallel postulate.
Similar Questions
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
Which of the following are tools that allowed the Greeks to use the five basic postulates of Euclidean geometry?Check all that apply.A.RulerB.StraightedgeC.CompassD.Tracing paper
Which of the following is not a postulate of Euclidean geometry?A.A straight line segment can be drawn between any two points.B.All right angles are equal.C.Given a square, a square with double the area can be constructed.D.A circle can be drawn with any center and any radius.
Which of the following is not a postulate of Euclidean geometry?A.All right angles can be bisected.B.Through a given point not on a given line, there is exactly one line parallel to the given line.C.A straight line segment can be drawn between any two points.D.Any straight line segment can be extended indefinitely.
Which of the following can be used to explain a statement in a geometric proof? Check all that apply.A.PostulateB.DefinitionC.TheoremD.ConjectureE.Corollary
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