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The length of a perpendicular segment from a point to a line is the shortest distance between that point and the line. This length can be calculated using the formula given the coordinates of the point and the line's equation. Specifically, if the line is represented in the form Ax + By + C = 0, and the point's coordinates are (x₀, y₀), the length can be found using the formula: ( \text{Distance} = \frac{|Ax₀ + By₀ + C|}{\sqrt{A^2 + B^2}} ). This distance is always positive and represents the minimum separation between the point and the line.

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3w ago

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Related Questions

Which of these is equal to the distance from a point to a line?

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That is correct. The distance from a point C to a line AB is the length of the perpendicular segment drawn from point C to line AB. This forms a right angle, creating a right triangle with the segment as the hypotenuse. The length of this perpendicular segment is the shortest distance from the point to the line.


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The length of a line segment that starts at the point and is perpendicular to the original line.


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. . . is the segment perpendicular to the line.


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What constructions can be accomplished with paper folding?

Finding the midpoint of a segment Drawing a perpendicular line segment from a given point to a given segment Drawing a perpendicular line segment through a given point on a given segment Drawing a line through a given point parallel to a given line


What constructions can be accomplished paper folding?

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What constructions can be accomplishments with paper-folding?

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What is the shortest segment from any given point to a line is the what segment?

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How do you find the perpendicular line segment from a point to a line by folding paper?

To find the perpendicular line segment from a point to a line by folding paper, first, place the point on one side of the line and the line itself on the opposite side. Fold the paper so that the point aligns directly over the line, ensuring the fold creates a crease that intersects the line at a right angle. The crease represents the perpendicular segment from the point to the line, and its intersection with the line is the foot of the perpendicular. Unfold the paper to reveal the segment clearly.