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Can two distinct points both exist on two distinct lines?
No. Two distinct points define a single 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
Can two points determine a plane?
No, 2 points define a line, 3 points define a plane.
When you Visualize 2 distinct points on a line. The points divide the line into separate regions. How many distinct regions is the line divided into?
It is divided into three regions.
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.
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
Do 3 distinct points always lie on the same line?
Yes. Every line has an infinite number of distinct points.
Can two points determine a plane?
No, 2 points define a line, 3 points define a plane.
Can two distinct points both exist on two distinct line?
No. Two points determine one line, and only one.
When you Visualize 2 distinct points on a line. The points divide the line into separate regions. How many distinct regions is the line divided into?
It is divided into three regions.
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.
Does a plane have only two points?
No, two points define a line. It takes three points to define a plane.
How many points are in a unique line?
Every line and every line segment of >0 length has an inifinite amount of unique points.Socratic Explaination:consider ...- There are 2 distinct points defining a line segment.- Between these 2 distinct points, there is a midpoint.- The midpoint divides the original segment into 2 segments of equal length.- There are 2 distinct points used to define each segment.- Between these 2 distinct points, there is a midpoint for each segment.- These midpoints divide the segments into smaller segments of equal length.- repeat until throughly beatenThis leads to a description of an infinite amount of points for any given line segment.This does not describe all the points of a line segment. Example: the points 1/3 of the distance from either of the the original 2 points are approached but never hit.Please, feel free to rephrase this explanation. I know it's sloppy.
