Intersecting lines are two lines that cross in a coordinate plane. So, yes, intersecting lines cross.
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Either intersecting lines or perpendicular lines
Perpendicular lines are lines that cross at right angles. Intersecting lines can cross at any angle.
Perpendicular lines are specific kinds of intersecting lines. They both cross paths. Intersecting lines can cross paths in any way, but perpendicular lines have to cross at right angles.
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Intersecting cross each other whereas perpendicular lines cross at right angles.