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Is it true that two lines that lie in different parallel planes must be skew lines?
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.
What are two line line segments that are not parallel?
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
Two lines that do not intersect and are in different planes?
They are skew lines. Two parallel lines must be in the same plane.
Do rhombus always has 4 right angles?
no They just have to have four sides the same length and the oppsite line segments must be parallel.
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 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.
what- the sides of the shelf shown are parallel.Which of these segments must be parallel?
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Is it true that two lines that lie in different parallel planes must be skew lines?
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.
What are two line line segments that are not parallel?
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
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.
Do rhombus always has 4 right angles?
no They just have to have four sides the same length and the oppsite line segments must be parallel.
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.
Are two lines in intersecting planes are sometimes skew?
No, two lines in intersecting planes cannot be skew lines. Skew lines are defined as lines that do not intersect and are not parallel, typically existing in different planes. However, if two lines are in intersecting planes, they must either intersect at some point or be parallel to each other. Thus, they cannot be classified as skew lines.
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.
Is there any Converse of intercept theorem?
Yes, the Converse of the Intercept Theorem states that if two lines are intersected by a pair of parallel lines, then the segments formed on the intersected lines are proportional. In other words, if two lines are cut by a pair of parallel lines and the segments created on one line are proportional to the segments created on the other line, then the lines must be parallel. This theorem is particularly useful in geometry for proving the parallelism of lines based on segment ratios.
Can lines on different planes be parallel?
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.
