Explain why three coplanar lines may have zero, one, two, or three points of intersection?

If all three lines are parallel, there are zero points of intersection. If all three lines go through a point, there is one point of intersection. If two lines are parallel and the third one crosses them, there are two. If the three lines make a triangle, there are three points. Not unless they're collinear, in which case they intersect an infinite number of times.

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fichoh fichoh · Answer 2 · 2021-08-18T07:59:54+02:00

Depending on the arrangement of the lines, the point of intersection of three coplanar lines may be :

• ZERO : If all three lines are parallel to one another.

• ONE : If all the three lines intersect at a point.

• TWO : If the are two parallel lines with the third perpendicular.

• THREE : If the three lines are arranged in a triangular pattern, such that two intersecting lines are intersected by a third line.

The diagrams below shows the different possibilities and gives clearer understanding.

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