Two lines that lie in parallel planes are not parallel to each other. While each line may be parallel to the plane it resides in, the fact that they are in different planes means they do not intersect and maintain a consistent distance apart, but they do not run in the same direction in three-dimensional space. Therefore, they can be considered skew lines, which are lines that do not intersect and are not parallel.
Think you just answered your own question. A plane is a line. Two planes= two 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.
skew lines
Two lines that lie on different planes but are not parallel.
Two lines may or may not lie in the same plane, depending on their relationship. If the lines are parallel or intersecting, they exist in the same plane. However, if the lines are skew, meaning they do not intersect and are not parallel, they lie in different planes. Thus, whether two lines lie in the same plane is contingent on their geometric arrangement.
If they are straight lines, then they define a plane in which both lines lie.
Think you just answered your own question. A plane is a line. Two planes= two lines.
true * * * * * No, false. Any two straight lines that intersect define a plane in which both those lines lie.
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.
Not necessarily. Points may lie in different planes.
skew lines
skew lines
Two lines that lie on different planes but are not parallel.
Skew lines.
Two lines may or may not lie in the same plane, depending on their relationship. If the lines are parallel or intersecting, they exist in the same plane. However, if the lines are skew, meaning they do not intersect and are not parallel, they lie in different planes. Thus, whether two lines lie in the same plane is contingent on their geometric arrangement.
If lines lie in two planes, then the lines are coplanar.
One if the two lines meet, none otherwise. But skew lines do not lie in the same plane, by definition.