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What does it mean if 2 line segments are parallel?

What does it mean if 2 line segments are parallel?

Parallel Lines: Definition: We say that two lines (on the same plane) are parallel to each other if they never intersect each other, ragardless of how far they are extended on either side.

Are two line segments parallel?

Two lines or line segments can either intersect (cross) each other or be parallel. Two line segments are perpendicular if they form a 90 degree angle where they cross. Parallel and perpendicular line segments are found everywhere in the world around us.

Which condition would always make the two lines parallel?

First, if a transversal intersects two lines so that corresponding angles are congruent, then the lines are parallel. Second, if a transversal intersects two lines so that interior angles on the same side of the transversal are supplementary, then the lines are parallel.

Which pair of segments must be parallel?

If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel. If two lines are cut by a transyersal and alternate interior angles are congruent, then the lines are parallel.

What are the three possibilities of two lines?

There are three possibilities:

  • The lines intersect at zero points. (The lines are parallel.)
  • The lines intersect at exactly one point. (Most cases.)
  • The lines intersect at infinitely many points. (The two equations represent the same line.)

Which characteristic is true for parallel lines?

Parallel lines must have unequal y-intercepts because otherwise the lines would be identical, in which case they would not be parallel but one and the same. If two lines are parallel, then they never intersect.

What happens if a transversal intersects two parallel lines?

If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent . When two lines are cut by a transversal, the pairs of angles on either side of the transversal and outside the two lines are called the alternate exterior angles .

Can planes be parallel or intersecting?

126. Parallel lines and parallel planes. Lines and planes are parallel to one another as in the ordinary geometry: two lines when they lie in one plane and do not intersect, a line and a plane or two planes when they lie in one hyperplane and do not intersect.

Which lines are parallel justify?

If two lines are cut by a transversal and alternate interior angles are congruent, then the lines are parallel. If two lines are cut by a transversal and same-side interior angles are supplementary, then the lines are parallel.

What theorem proves lines are parallel?

If two parallel lines are cut by a transversal, then corresponding angles are congruent. If two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel.

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