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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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What is the shortest distance between a point and a line?
The length of a line segment that starts at the point and is perpendicular to the original line.
The shortest segment from a point to a line?
. . . is the segment perpendicular to the line.
The length of the segment from a point C to the line AB gives the distance from the point C to the line AB?
perpendicular by Deviin Mayweather of Boyd Anderson
To find the distance from a point C to the line AB you must find the length of the segment from C to AB?
perpendicular
What are the distances from a point on the perpendicular bisector to the endpoints of a segment?
The distance will be length of the line divided by 2 because the perpendicular bisector cuts through the line at its centre and at right angles
Which of these is equal to the distance from a point to a line?
the length of a perpendicular segment from the point to the line
The distance from a point C to the line AB is the length of the segment from C to AB?
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.
What is the shortest distance between a point and a line?
The length of a line segment that starts at the point and is perpendicular to the original line.
The shortest segment from a point to a line?
. . . is the segment perpendicular to the line.
The length of the segment from a point C to the line AB gives the distance from the point C to the line AB?
perpendicular by Deviin Mayweather of Boyd Anderson
To find the distance from a point C to the line AB you must find the length of the segment from C to AB?
perpendicular
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?
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 accomplishments 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 are the distances from a point on the perpendicular bisector to the endpoints of a segment?
The distance will be length of the line divided by 2 because the perpendicular bisector cuts through the line at its centre and at right angles
What is the shortest segment from any given point to a line is the what segment?
A perpendicular to the line which passes through the given point.
What if you repeat the perpendicular line segment construction twice using paper folding you can construct?
You can construct a parallel to a line through a point not on the line. (perpendicular line segment)
