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4. in a plane, if a line is ______ to one of two parallel lines, then i…

Question

  1. in a plane, if a line is ______ to one of two parallel lines, then it is perpendicular to the other.

perpendicular
skew
intersecting
parallel

Explanation:

Brief Explanations
  • Perpendicular lines form right angles (\(90^{\circ}\)).
  • If a line is perpendicular to one of two parallel lines in a plane, due to the properties of parallel lines (corresponding angles are equal), it will form a right angle with the other parallel line as well.
  • Skew lines are non - parallel and non - intersecting lines in 3D space, not relevant here as we are in a plane.
  • Intersecting lines just cross each other (not necessarily at \(90^{\circ}\)), and parallel lines never meet.

Answer:

perpendicular