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Do two distinct planes intersect in a pair of lines?
No. The planes must either coincide (they are the same, and intersect everywhere), be parallel (never intersect), or intersect in exactly one line.
Can two planes intersect at one unique line?
Yes. In fact, if they are not the same plane, then they must intersect in a unique straight line.
Do collinear rays have to intersect?
Not only must they intersect, but they must be parts of the same line.
Non-intersecting lines in different planes are?
They are called skew lines. Explanation: In 3 space, parallel lines must never intersect AND must be in the same plane. If they fail to intersect and are in different planes we call them skew lines.
Two lines that do not intersect and are in different planes?
They are skew lines. Two parallel lines must be in the same plane.
How many planes must intersect to form a line?
The intersection of two planes forms a line.
Do two distinct planes intersect in a pair of lines?
No. The planes must either coincide (they are the same, and intersect everywhere), be parallel (never intersect), or intersect in exactly one line.
Can two planes intersect at one unique line?
Yes. In fact, if they are not the same plane, then they must intersect in a unique straight line.
How many plains must intersect to form a line?
Two.
Can two planes that do not intersect be parallel?
No. By definition, planes can be extended in all directions to infinity. If they are not parallel, they will intersect somewhere.
Do collinear rays have to intersect?
Not only must they intersect, but they must be parts of the same line.
Non-intersecting lines in different planes are?
They are called skew lines. Explanation: In 3 space, parallel lines must never intersect AND must be in the same plane. If they fail to intersect and are in different planes we call them skew lines.
Two lines that do not intersect and are in different planes?
They are skew lines. Two parallel lines must be in the same plane.
Can exactly two planes intersect and the third plane does not intersect the other two?
We don't think so. We reasoned it out like this: -- Two planes either intersect or else they're parallel. -- If two planes intersect, then they're not parallel. -- In order for the third one to avoid intersecting either of the first two, it would have to be parallel to both of them. But if they're not parallel to each other, then that's not possible. If the third plane is parallel to one of the first two, then it's not parallel to the other one, and it must intersect the one that it's not parallel to.
Two lines only intersect at exactly one point?
Two straight lines, whether they're in the same or different planes, must intersect at either one point or else at no points.
When constructing an angle bisector why must the arcs intersect?
The arcs must intersect because you need a point to use with the point of the angle's vertex to make the line that intersects the angle.
Can 2 line be intersecting perpendicular?
Perpendicular lines intersect at right angles. (90°) Therefore, by the definition of perpendicularity, two perpendicular lines must intersect.
