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Q: What is A point on a line and all the points of the line that lie on one side of this point?

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This describes a ray.

it is the point in the image where all the points of view point toward infinity good answer very dictionaryish. also, this applies to all lines except vertical. If you get good you can have two vanishing points where if the line needs to be drawn to the left side of the page then u use the left vanishing point.

A point can be intersected by infinitely many lines. Two points intersect in only one line. Three points either intersect in a line or not at all. This is only considering two dimensions.

A line can be tangent to a circle in which case it intersects it in one point, it can intersect it in two points, or no points at all. So the choices are 0,1 or 2.

A line.

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A half line? A ray?

This describes a ray.

ray

No. A line is the locus of all points located between any two points.

a line.

It is easiest to describe the difference in terms of coordinate geometry. A linear equation defines a straight line in the coordinate plane. Every point on the line satisfies the equation and no other points do. For a linear inequality, first consider the corresponding linear equality (or equation). That defines a straight line which divides the plane into two. Depending on the direction of the inequality, all points on one side of the line or the other satisfy the equation, and no point from the other side of the line does. If it is a strict inequality (< or >) then points on the line itself are excluded while if the inequality is not strict (≤or ≥) then points on the line are included.

it is the point in the image where all the points of view point toward infinity good answer very dictionaryish. also, this applies to all lines except vertical. If you get good you can have two vanishing points where if the line needs to be drawn to the left side of the page then u use the left vanishing point.

A point can be intersected by infinitely many lines. Two points intersect in only one line. Three points either intersect in a line or not at all. This is only considering two dimensions.

Definition for collinear and non collinearPoints that lie on the same line are called collinear points. If there is no line on which all of the points lie, then they are non collinear points.

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.

The shortest distance between four points is a straight line to and from each individual point. If all four points are aligned, the result will be a single straight line through all four points.