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Is it true that a line on a map drawn through all points having the same temperature is called an isobar?
A line through many points with the same air temperatureis an "isotherm".The "isobar" is a line through many points with the same air pressure.
Do Through a point not on a line one and only one line always can be drawn parallel to the given line?
True
Is it true that two points are always collinear?
Yes, two points are always collinear. You can draw a line through any two points.
In geometry is it true that through any three points exists exactly one line?
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 !?!
Can you pass more than one line through two points?
Only one line can pass through two points, but this line can have different equations that could represent it. These are called dependent equations (because they represent the same line). * * * * * That is true for the Euclidean plane. But on surfaces that are not flat, there can be infinitely many lines through any pair of points.
