Lines intersect if the meet at one point. Perpendicular lines also meet at one point, but their intersection is a right angle.
Intersecting lines in the plane do not meet at two points.
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Draw two lines that meet somewhere
intersecting lines.
Yes, otherwise they wouldn't be intersecting.
No, because although perpendicular and intersecting lines do touch, parallel lines never meet.
When two lines meet to form an angle the lines are intersecting.