QUESTION IMAGE
Question
- in a plane, if a line is perpendicular to one of two ____ lines, then it is also perpendicular to the other.
parallel
intersecting
perpendicular
skew
Brief Explanations
- Parallel lines have the property that if a line is perpendicular to one of them, due to the nature of parallelism (same - direction in the plane), it must be perpendicular to the other.
- Intersecting lines: A line perpendicular to one intersecting line is not necessarily perpendicular to the other (they can form various angles).
- Perpendicular lines: If we have two perpendicular lines, a line perpendicular to one of them may not be related in a perpendicular way to the other in the context of the given statement (the statement is about a more general relation than two - line perpendicularity).
- Skew lines: Skew lines are non - coplanar, but the problem is set in a plane.
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parallel