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Can two distinct points both exist on two distinct lines?
No. Two distinct points define a single line.
Is it true that a line can be drawn through two points?
Yes, it is true that a line can be drawn through any two distinct points in a two-dimensional plane. This is a fundamental concept in geometry, as two points uniquely determine a straight line. If the points are the same, they do not define a line but rather a single point.
Can you always write the equation of a line if you know one point on the line?
You cannot define a line with a single point (a single point only defines itself). You need two points to define a line (and therefore to write the equation for it).
What is a distinct line segment?
It will have end points to be a distinct line segment
How many points are sufficient for drawing a straight line?
A minimum of two points is required to draw a straight line. Any two distinct points can be connected by a straight line, and this line will extend infinitely in both directions. Additional points can lie on the same line, but only two are necessary to define the line's direction and position.
Can two distinct points both exist on two distinct lines?
No. Two distinct points define a single line.
How many points determine exactly one line?
It takes exactly 2 distinct points to uniquely define a line, i.e. for any two distinct points, there is a unique line containing them.
Is it true that a line can be drawn through two points?
Yes, it is true that a line can be drawn through any two distinct points in a two-dimensional plane. This is a fundamental concept in geometry, as two points uniquely determine a straight line. If the points are the same, they do not define a line but rather a single point.
What detemines a unique straight line?
In a Euclidean plane any two distinct points uniquely define a straight line.
Can you always write the equation of a line if you know one point on the line?
You cannot define a line with a single point (a single point only defines itself). You need two points to define a line (and therefore to write the equation for it).
What is a distinct line segment?
It will have end points to be a distinct line segment
How many points are sufficient for drawing a straight line?
A minimum of two points is required to draw a straight line. Any two distinct points can be connected by a straight line, and this line will extend infinitely in both directions. Additional points can lie on the same line, but only two are necessary to define the line's direction and position.
Can two points determine a plane?
No, 2 points define a line, 3 points define a plane.
Do 3 distinct points always lie on the same line?
Yes. Every line has an infinite number of distinct points.
Give a line and a point not on the line how many planes do they define?
They define one plane. A line is defined by two points, and it takes three points to define a plane, so two points on the line, and one more point not on the line equals one plane.
Can two distinct points both exist on two distinct line?
No. Two points determine one line, and only one.
Does a plane have only two points?
No, two points define a line. It takes three points to define a plane.
