B: Every plane contains at least three points that do not lie on the same line
To answer this question, we will have to state the 5 axioms of Euclidean geometry and they are;
1. A straight line could be drawn between any two points; This means that as long as there is no obstacle between the two points, then we can say that it is possible to draw a straight line between both points. However, if there is an obstacle between the two points, then it is not possible to draw a straight line.
2. Any straight line that is terminated could still be extended indefinitely; A line segment may be bound by an endpoint, but a straight line is not bounded by any endpoint and as a result, it can be extended indefinitely in both directions.
3. A circle could be drawn with any given center point and any given radius; If for example we use a line segment bounded by two end points. If we use one of these 2 endpoints to be the centre of a circle and make the radius of the circle to be equal to the length of the line segment earlier used as an example, it means if we draw a circle, it will have a diameter that is twice the length of that same line segment.
4. All right angles are definitely equal; A right angle always has a measurement of 90°. This means that regardless of its' orientation, it will still remain 90°.
5. For any given point that is not on a given line, there will be exactly one line passing through the point that would not meet that same given line; This implies that two lines will be parallel to each other if they intersect a third line with the interior angle between them being 180°.
Looking at the given options in the question, the only one that doesn't correspond to any of these 5 axioms I have stated would be option B.
Read more at; brainly.com/question/22135829
