QQuestionMathematics
QuestionMathematics
Select the correct answer.
Which statement best defines perpendicular lines?
A. lines that lie in the same plane
B. lines that intersect and form right angles
C. lines that lie in the same plane and do not intersect
D. lines that share a point
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Answer
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Step 1:I'll solve this step-by-step following the LaTeX formatting guidelines:
Step 2:: Understand the Definition of Perpendicular Lines
This means the lines form a perfect $$90^\circ$$ angle where they meet.
Perpendicular lines are lines that intersect at a 90 -degree angle (right angle).
Step 3:: Analyze the Given Options
Let's carefully examine each option: - Option A: Simply states lines in the same plane (not specific to perpendicularity) - Option B: Describes lines that intersect and form right angles - Option C: Describes parallel lines (which do not intersect) - Option D: Describes lines that share a point (but not necessarily at a right angle)
Step 4:: Identify the Correct Characteristics
- They must form a $$90^\circ$$ angle
The key characteristics of perpendicular lines are: - They must intersect - They must be in the same plane
Step 5:: Select the Best Definition
Option B most accurately defines perpendicular lines: "lines that intersect and form right angles"
Final Answer
The definition captures the essential geometric relationship of perpendicular lines, emphasizing both their intersection and the specific 90^\circ angle between them.
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