A+
two line segments that are not parallel are intersecting even if they don't touch like this /l / l they are considered intersecting because you must extend it like they are lines to say they are parallel or not
Yes, it is true that two lines that lie in different parallel planes must be skew lines. Skew lines are defined as lines that are not parallel and do not intersect, and since the lines in different parallel planes cannot meet or be parallel to each other, they fit this definition. Therefore, they are considered skew lines.
They are skew lines. Two parallel lines must be in the same plane.
no They just have to have four sides the same length and the oppsite line segments must be parallel.
No. The planes must either coincide (they are the same, and intersect everywhere), be parallel (never intersect), or intersect in exactly one line.
A+
No. By definition, planes can be extended in all directions to infinity. If they are not parallel, they will intersect somewhere.
two line segments that are not parallel are intersecting even if they don't touch like this /l / l they are considered intersecting because you must extend it like they are lines to say they are parallel or not
Yes, it is true that two lines that lie in different parallel planes must be skew lines. Skew lines are defined as lines that are not parallel and do not intersect, and since the lines in different parallel planes cannot meet or be parallel to each other, they fit this definition. Therefore, they are considered skew lines.
They are skew lines. Two parallel lines must be in the same plane.
no They just have to have four sides the same length and the oppsite line segments must be parallel.
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.
No. The planes must either coincide (they are the same, and intersect everywhere), be parallel (never intersect), or intersect in exactly one line.
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.
Yes, they can. Since three points define a plane, take any two points on one line and a point on the other line, and form the plane with those three points. Once you have that, then use Euclid's test to see if they are parallel. Alternately, if the planes themselves are parallel, then the lines are as well, since they definitely will never intersect.
There is exactly one plane that can be drawn parallel to plane P that passes through point A. Since parallel planes share the same orientation and direction, any plane that is parallel to plane P must maintain the same angle and distance from the points on plane P. Therefore, the plane through point A will be uniquely defined and parallel to plane P.
Technically, lines are continuous, so parallelograms are actually composed of line segments. The line segments composing the sides of the parallelogram, come in two pairs in 2D space. Each pair is composed of two line segments that are parallel to each other, but do not occupy the same line. The two pares of line segments must all meet to then form a quadrilateral.