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

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

In a plane, only one.

plane

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

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

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

Intersecting lines are those that lie in the same plane and cross each other at some point. Unless they are parallel, lines in the same plane always cross.

In a plane, only one.

plane

Intersecting lines are those that lie in the same plane and cross each other at some point. Unless they are parallel, lines in the same plane always cross.

Intersecting lines.

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.

Any two lines that cross at a point. For this to be possible, they have to share a plane, can't be the same line, and can't be parallel (run side-by-side)

an intersecting line

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

intersecting lines divergent lines convergent lines