In plane geometry, any two lines can be parallel, perpendicular or skew.
- Lines a and b will intersect
- Lines b and the horizontal line are perpendicular
- Lines a and c are skew
Intersecting lines
Two lines intersect, when both lines cross path of one another i.e. they have a point of intersection.
From the given diagram:
When lines a and b are extended down, they will intersect
Perpendicular lines
Perpendicular lines are simply lines that intersect at a right-angle
From the given diagram:
Line b and the horizontal line between both planes, intersect at a right-angle
Skew lines
These are two lines in different planes, that are neither parallel, nor do they intersect.
From the given diagram:
- Lines a and c are in different planes (i.e. they are non-coplanar)
- Lines a and c do not intersect.
Hence, lines a and c are skew
Read more about lines at:
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