perpendicular means 'at 90 degrees to'
for example a 'T'
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Perpendicular means "at right angles to". L is an example of two lines that are perpendicular to one another.
Perpendicular lines are lines that eventually intersect, and intersecting means when the run into eachother. For example, the "L" shape are two perpendicular lines because the lines run into eachother.
If you have two lines that have negative recipricals (1 and -1 for example), the lines are perpendicular.
draw two intersecting lines that are not perpendicular
They are not. The perpendicular bisectors of a triangle, for example, intersect at the orthocentre of the triangle. So perpendicular lines can be intersecting and conversely.