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Do 3 distinct points always lie on the same line?
Yes. Every line has an infinite number of distinct points.
What is the unique line postulate?
Unique line assumption. There is exactly one line passing through two distinct points.
A line passing through two distinct points in one plane lies completely in that plane?
Always
Geometric figure consisting of two points on a line and all the points between them?
segment or line segment both can be uaed
What is a set of points that is endless in both directions?
A Line ;)
Can two distinct points both exist on two distinct lines?
No. Two distinct points define a single line.
What is the intersection of two distinct planes?
The intersection of two distinct planes is a line. The set of common points in the line lies in both planes.
What is a distinct line segment?
It will have end points to be a distinct line segment
How many distinct lines can drawn through two fixed points?
Through any two fixed points, exactly one distinct line can be drawn. This is a fundamental principle in geometry, as two points uniquely determine a straight line. No other line can pass through both points, ensuring the uniqueness of the line connecting them.
Do 3 distinct points always lie on the same line?
Yes. Every line has an infinite number of distinct points.
Does a line segment end?
Yes. A line segment is a line with two points at both ends of it.
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.
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.
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 define a single line?
All lines are defined by two or more distinct points.
How many points are needed to determine a unique line?
Two distinct (different) points are needed to determine a line.
What is the part of a line that has two distinct endpoints'?
The part of a line that has two distinct endpoints is called a line segment. Unlike a line, which extends infinitely in both directions, a line segment has a defined length and is bounded by its two endpoints. It can be represented visually as a straight path connecting these two points.
