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Yes, two lines that lie in parallel to the same line are always parallel to each other. This is based on the Transitive Property of Parallel Lines, which states that if line A is parallel to line B, and line B is parallel to line C, then line A is parallel to line C. Thus, if two lines are both parallel to a third line, they must be parallel to each other.
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What two lines that lie in the same plane and are always the same distance apart?
parallel lines
Do two lines always lie in the same plane?
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.
Two segments that lie in parallel lines are?
sometimes parallel.
Two lines lie in one plane if and only if the lines are parallel?
Two lines are coplanar iff they are parallel OR intersect.
If two lines lie in the same plane and do not intersect then they are?
Parallel Lines.
Two lines that lie in the same plane and are always the same distance apart?
parallel lines
What two lines that lie in the same plane and are always the same distance apart?
parallel lines
Do two lines always lie in the same plane?
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.
Two segments that lie in parallel lines are?
sometimes parallel.
Two lines lie in one plane if and only if the lines are parallel?
Two lines are coplanar iff they are parallel OR intersect.
If two lines lie in the same plane and do not intersect then they are?
Parallel Lines.
Is any two lines lie in exactly one plane?
Two lines can lie in one plane. For example, parallel lines are lines that intersect and lie in the same plane.
What is an antonym for skew lines?
Parallel Lines - Skew lines are lines that do not intersect and do not lie in the same plane. If two lines lie in the same plane they they must either intersect or they are parallel.
What are two lines that lie on the same plane and never intersect?
Parallel lines
Are two lines that lie in parallel planes always sometimes or never parallel?
SOMETIMES. I just did that problem in my California geometry book. They can either be parallel or skew...making the answer sometimes.
Two lines lie in one plane and do not intersect if and only if the two lines are parallel?
True
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.
