which of the following are among the five basic postulates of euclidean geometry

2 Answer

  • Answer : The Euclidean geometry is a mathematical system that is attributed to Alexandrian Greek mathematician Euclid. He described mostly about the Elements in geometry. The method consisted of assuming a small set of intuitively appealing axioms, and deducing many other propositions from these.

    The five basic postulates of euclidean geometry are as follows;

    1. A straight line may be drawn between any two points.
    2. A piece of straight line may be extended indefinitely.
    3. A circle may be drawn with any given radius and an arbitrary center.
    4. All right angles are equal.
    5. If a straight line crossing two straight lines makes the interior angles on the same side less than two right angles, the two straight lines, if extended indefinitely, meet on that side on which are the angles less than the two right angles.
  • Answer:

    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.

    Step-by-step explanation:

    a p e x