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 is exactly one line parallel to the given line.B.There is a straight line segment between any two points.C.All right angles are equal to one another.D.A circle can be drawn with any center and radius
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 is exactly one line parallel to the given line.B.There is a straight line segment between any two points.C.All right angles are equal to one another.D.A circle can be drawn with any center and radius
Solution
All of the options A, B, C, and D are among the five basic postulates of Euclidean geometry.
A. Through a point not on a given line, there is exactly one line parallel to the given line. This is the fifth postulate, also known as the parallel postulate.
B. There is a straight line segment between any two points. This is the first postulate, which states that a straight line segment can be drawn joining any two points.
C. All right angles are equal to one another. This is the fourth postulate, which states that all right angles are congruent.
D. A circle can be drawn with any center and radius. This is the third postulate, which states that a circle can be drawn with any center and radius.
Similar Questions
Which of the following are among the five basic postulates of Euclidean geometry?
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.
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.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 can be used to explain a statement in a geometric proof? Check all that apply.A.PostulateB.DefinitionC.TheoremD.ConjectureE.Corollary
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.