QuestionAugust 25, 2025

DISCUSS MATHEMATICAL THINKING Do two lines that are not parallel always , sometimes, or never intersect? Explain. ) never; When two lines are not parallel, they are in separate planes. never; You cannot draw two lines that are not parallel and do not intersect. sometimes; The two lines might be far enough apart in the plane to never intersect. sometimes; The two lines could be in parallel planes, but not parallel to each other. always; Lines that are not parallel are lines that intersect.

DISCUSS MATHEMATICAL THINKING Do two lines that are not parallel always , sometimes, or never intersect? Explain. ) never; When two lines are not parallel, they are in separate planes. never; You cannot draw two lines that are not parallel and do not intersect. sometimes; The two lines might be far enough apart in the plane to never intersect. sometimes; The two lines could be in parallel planes, but not parallel to each other. always; Lines that are not parallel are lines that intersect.
DISCUSS MATHEMATICAL THINKING Do two lines that are not parallel always , sometimes, or never intersect? Explain. ) never; When two lines are not parallel, they are in separate planes. never; You cannot draw two lines that are not parallel and do not intersect. sometimes; The two lines might be far enough apart in the plane to never intersect. sometimes; The two lines could be in parallel planes, but not parallel to each other. always; Lines that are not parallel are lines that intersect.

Solution
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Answer

Sometimes; in 3D space, non-parallel lines can be skew and not intersect. Explanation 1. Define Parallel and Intersecting Lines Parallel lines have the same slope and never meet. Non-parallel lines have different slopes. 2. Consider Plane Geometry In a single plane, two non-parallel lines must intersect at one point. 3. Consider 3D Space In three-dimensional space, two lines that are not parallel may not intersect if they lie in different planes (skew lines).

Explanation

1. Define Parallel and Intersecting Lines<br /> Parallel lines have the same slope and never meet. Non-parallel lines have different slopes.<br /><br />2. Consider Plane Geometry<br /> In a single plane, two non-parallel lines must intersect at one point.<br /><br />3. Consider 3D Space<br /> In three-dimensional space, two lines that are not parallel may not intersect if they lie in different planes (skew lines).
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