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What is the name of the postulate that states through any 3 points a circle can be formed?
Jwebe45
There cannot be such a postulate because it is not true.
Consider a line segment AB and let C be any point on the line between A and B. If the three points are A, B and C, there can be no circle that goes through them. It is so easy to show that the postulate is false that no mathematician would want his (they were mostly male) name associated with such nonsense.
Well, if one of the points approach the line that goes through the other two points, the radius of the circle diverges. The line is the limit of the ever-growing circles. In the ordinary plane, the limit itself does not exist as a circle, but mathematicians have supplemented the plane with infinity to "hold" the centres of such "straight" circles.
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What is formed when all points are equidistant from a central point?
A circle.
What is a great circle in spherical geometry?
The great circle is the intersection of a sphere and any plane passing through its centre. Given two distinct points on the surface of a sphere, those two points and the centre of the sphere define a plane. [If one of the points is at the antipodes of the other, an infinite number of planes are defined.] The great circle is the circle formed when that plane meets the surface of the sphere.
What is a line one that passes through a circle at two distinct points.?
A line that passes through a circle at two distinct points is called a secant.
What is a straight line joining points on a circle?
A straight line joining points on a circle is called a "chord" of that circle. If the line happens to pass through the center of the circle, then it's a "diameter" of that circle. The question asked about "points" on a circle, so two points on the circumference of that circle are being considered. (No line can join more than two points of a circle.)
Can you draw a circle through the four points of a trapezoid?
Yes, you can draw a circle through the four points of a trapezoid, because the four points of the trapezoid can be equidistant from one point, making that distance the radius.
What is An angle formed by 3 points on the circumference of a circle?
inscribed
What is formed when all points are equidistant from a central point?
A circle.
What is a segment from two points on a circle which passes through the center of the circle?
It is the circle's diameter
What is a great circle in spherical geometry?
The great circle is the intersection of a sphere and any plane passing through its centre. Given two distinct points on the surface of a sphere, those two points and the centre of the sphere define a plane. [If one of the points is at the antipodes of the other, an infinite number of planes are defined.] The great circle is the circle formed when that plane meets the surface of the sphere.
What is a line one that passes through a circle at two distinct points.?
A line that passes through a circle at two distinct points is called a secant.
What is the unique line postulate?
Unique line assumption. There is exactly one line passing through two distinct points.
What is a straight line joining points on a circle?
A straight line joining points on a circle is called a "chord" of that circle. If the line happens to pass through the center of the circle, then it's a "diameter" of that circle. The question asked about "points" on a circle, so two points on the circumference of that circle are being considered. (No line can join more than two points of a circle.)
What is a distance postulate?
The distance postulate is such: the shortest distance between two points is a line.(xy, x-y) The distance postulate is such: the shortest distance between two points is a line.(xy, x-y)
Line passing through the center of a circle with both end points on the circle?
That's a diameter of the circle.
Can you draw a circle through the four points of a trapezoid?
Yes, you can draw a circle through the four points of a trapezoid, because the four points of the trapezoid can be equidistant from one point, making that distance the radius.
What is postulate 8?
If two points are in a plane, then the line that contains the points is in that plane
A line segment that passes through the center of circle and has end points on the circle?
diameter
