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Which of the following are among the five basic postulates of Euclidean geometry?

Check all that apply.
A. All equilateral triangles are also equiangular.
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.

Respuesta :

Poltergeist

Answer:

Choices B, C, and D are correct.

Step-by-step explanation:

Euclid's Five postulates are as follows:

1. A straight line segment may be drawn from any given point to any other.

2. A straight line may be extended to any finite length.

3. A circle can be drawn with any center and radius.

4. All right angles are congruent/equal to each other.

5. Through a point not on a given line, there is exactly one line parallel to the given line.

Now looking at these postulates and the choices we are given we see that only choice B, C, and D match with above.

akposevictor

From the options given, the statements that are among the five basic postulates of Euclidean Geometry are: B, C, and D.

The five basic postulates of Euclidean geometry

The five (5) basic postulates are:

  • Any straight line segment is drawn from any point to another.
  • Any straight line can be drawn and extended to any finite length.
  • Circles are drawn given a center and radius.
  • Right angles are always congruent.
  • If a given point is not on a given line, there exist a line that is parallel to the given line.

Therefore, from the options given, the statements that are among the five basic postulates of Euclidean Geometry are: B, C, and D.

Learn more about Euclidean Geometry on:

https://brainly.com/question/17304015

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