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Through any three points there exists exactly one plane?
Collinear points
Is there exactly one line through two points?
In plane geometry there is exactly one straight line through two points. There can be any number of curved lines.
Through any two distinct points there are exists exactly one line?
Yes
Through any two distinct points there exists exactly one line?
False!
In it true that through any three points exists exactly one line?
Yes, it is true that through any three points, if they are not collinear (not all lying on the same straight line), there exists exactly one line that can be drawn through any two of those points. However, if the three points are collinear, they all lie on the same line, meaning that there is still only one line that can be associated with them. In summary, the statement holds true under the condition that the points are not all collinear.
What is a two points determine exactly one?
In plane geometry, two points determines or defines one unique line.
How many distinct lines can drawn through two fixed points?
Through any two fixed points, exactly one distinct line can be drawn. This is a fundamental principle in geometry, as two points uniquely determine a straight line. No other line can pass through both points, ensuring the uniqueness of the line connecting them.
What best describes a basic postulate of euclidean geometery?
A basic postulate of Euclidean geometry is a fundamental statement that is accepted as true without proof and serves as a foundation for further reasoning and theorems. One of the most famous postulates is that through any two distinct points, there exists exactly one straight line. These postulates form the basis for the system of Euclidean geometry, which describes the properties and relationships of points, lines, and planes in a flat, two-dimensional space.
Is it true that any three points are contained in exactly one plane?
Yes, if you are talking about Euclidean geometry.
Through any two points there is exactly one?
== == Through any two points there is exactly one straight line.
How can you know if the points is collinear points or non collinear points?
It depends on the context in which the question is asked: whether it is basic geometry, coordinate geometry or vector algebra. If you can draw a single straight line through a set of points they are collinear; if you cannot then they are not.
What is the relationship between a triangle, a circle, and a chord that intersects the circle at exactly 7 points?
In geometry, a chord is a line segment that connects two points on a circle. If a chord intersects a circle at exactly 7 points, it means the chord passes through the circle and touches it at 7 different points. This relationship between a triangle, a circle, and a chord with 7 points of intersection is a geometric concept that demonstrates the properties of circles and their chords.
