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Earn +20 ptsQ: What is a line that intersect at different points?
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How many line can intersect a 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.
Can a plane and a line ever intersect in two points?
In Euclidean geometry, they can only intersect in 0, 1 or infinitely many points. If there are two points of intersection then the whole line lies in the plane.
Is it true if points are collinear they are also coplanar?
Yes, any points that are located on the same line will also be on the same plane. You can have more than one plane intersect a given line, but any points on that line will necessarily be on all the planes that intersect that line.
Can a straight line intersect a circle at more than two points?
No.
What is the relationship between a horizontal line and vertical line?
They are mutually perpendicular. However, they need not intersect: if they are in different planes, they will not intersect.
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