Concept explainers
A vertical line is perpendicular to the
Whether the statement “A vertical line is perpendicular to the x -axis.” is always , sometimes , or never true.
Answer to Problem 15P
The vertical lines are perpendicular to all horizontal lines. Since the x-axis is a horizontal line, it is true that a vertical line is perpendicular to the x -axis. Therefore, the given statement is always true.
Explanation of Solution
Given information:
The statement is “A vertical line is perpendicular to the x -axis.”
The vertical lines are perpendicular to all horizontal lines. Since the x-axis is a horizontal line, it is true that a vertical line is perpendicular to the x -axis.
Conclusion:
Therefore, the given statement is always true.
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