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Q: What are lines in a plane that cross or intersecting eack other?
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Do intersecting lines ever cross?

Intersecting lines are two lines that cross in a coordinate plane. So, yes, intersecting lines cross.


How many points do intersecting lines cross?

In a plane, only one.


Do two intersecting lines determine a plane?

plane


What is the locus of point equidistant from two intersecting lines?

The locus in a plane is two more intersecting lines, perpendicular to each other (and of course half-way between the given lines.


Are vertical angles formed by two intersecting lines coplanar?

Yes. They're in the plane defined by the two intersecting lines.