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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. All right angles are equal to one another.
C. A circle can be drawn with any center and radius.
D. Through a point not on a given line, there is exactly one line parallel to the given line.

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Answer:

All of them

Step-by-step explanation:

The postulates that apply are options (B) and (C).

Postulates of Euclid's Geometry:

There are 5 postulates of Euclid's Geometry.

  1. A straight line segment can be drawn for any two given points.
  2. A line segment can be extended in either direction to form a line.
  3. To describe a circle with any center and radius.
  4. All right angles are equal to one another.
  5. If two lines are intersected by 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 will intersect each other on that side if produced indefinitely.

Which of the options are Postulates?

  • The options B and C are the correct options.

Learn more about Postulates here:

https://brainly.com/question/13950364

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