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No, given any three points, it is possible for one of the points not to be on the line defined by the other two points. Only two points on a line are needed to identify the exact position of the line. The positions of any three points gives you the exact position of the plane that includes those three points.No, it is not true. If it were true, all triangles would be straight lines !?!
Typically, a line is named with two points on the line.
Three points that are all on a line are called "collinear points." These points lie on the same straight line, which means that if you were to draw a line through them, all three would be included on that line. Collinearity is a fundamental concept in geometry, often used to describe the relationship between points in a coordinate system.
If points m, n, o, and p are arranged such that three of them lie on a straight line, there are two possible scenarios: either three points (e.g., m, n, o) are collinear and the fourth point (p) is not, or all four points are collinear. In the first case, there is one line formed by the three collinear points, and the fourth point can form additional lines with any two of the other three points. Therefore, if only three are collinear, there are multiple lines; if all four are collinear, there is just one line.
Collinear (apex)
To find a point equidistant from three other points, construct perpendicular bisectors for two of the segments formed from three points. Note: this will be the center of the circle that has all three points on it's circumference. Three points, not in a straight line, form three pairs of points with each pair defining a different line. Take any pair of points and draw the perpendicular bisector of the line joining them. Repeat for one of the other pairs. These two perpendicular bisectors will meet at the point which is equidistant from all three points - the circumcenter of the triangle formed by the three points.
No, given any three points, it is possible for one of the points not to be on the line defined by the other two points. Only two points on a line are needed to identify the exact position of the line. The positions of any three points gives you the exact position of the plane that includes those three points.No, it is not true. If it were true, all triangles would be straight lines !?!
No, because Of any three points on a line there exists no more than one that lies between the other two.
Typically, a line is named with two points on the line.
A set of three points not on the same line are points that define a unique plane.more than three points not on a plane are in a space (volume).
If three points all lie on the same line, then the points are said to be "collinear". This is also true if the slope from each point to the next is the same.
well, a line consists of an infinite number of points the three important points on a line are start (the origin of the line) end (the end of the line) midpoint (halfway across the line)
Three points that are all on a line are called "collinear points." These points lie on the same straight line, which means that if you were to draw a line through them, all three would be included on that line. Collinearity is a fundamental concept in geometry, often used to describe the relationship between points in a coordinate system.
"... to the other two lines?". What other two lines? According to the question, there is only one line!
If points m, n, o, and p are arranged such that three of them lie on a straight line, there are two possible scenarios: either three points (e.g., m, n, o) are collinear and the fourth point (p) is not, or all four points are collinear. In the first case, there is one line formed by the three collinear points, and the fourth point can form additional lines with any two of the other three points. Therefore, if only three are collinear, there are multiple lines; if all four are collinear, there is just one line.
Points on the same line are called collinear points.
Collinear (apex)