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What is the definition of the division of line segment in Cartesian geometry?

In Cartesian geometry, the division of a line segment involves dividing a line segment into two or more parts based on a given ratio or proportion. This division can be done by finding the coordinates of the point(s) that divide the segment according to the specified ratio.


How do you find the point that divides a line segment according to a given ratio?

-- ADD the two numbers in the ratio.-- Then divide the line segment into that many equal pieces.-- From one end, count off a number of pieces equal to either number in the ratio.-- At the point after that many pieces, the two parts of the line segment on either sideof it are in the desired ratio.


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 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 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 is a segment bisect?

Bisect a segment is to divide the line segment into 2


The midpoint of a given line segment must lie on the given line segment?

true


Middle point of line segment?

divide the line segment in half to aquire the center point


Does the midpoint of a given line segment must lieon the given line segment?

Yes, the midpoint of a given line segment must lie on the line segment itself. The midpoint is defined as the point that divides the segment into two equal parts, which means it is located directly between the endpoints of the segment. Therefore, by definition, the midpoint is always a point on the line segment.


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.


Is The midpoint of a given line segment must lie on the given line segment?

Yes, the midpoint of a given line segment must lie on that line segment. The midpoint is defined as the point that is equidistant from both endpoints of the segment, effectively dividing it into two equal parts. Therefore, by definition, the midpoint cannot exist outside of the line segment itself.


What are the coordinates of the point on the directed line segment from (-97) to (3-8) that partitions the segment into a ratio of 2 to 1?

If you mean points: (-9, 7) and (3, -8) Then slope is: -5/4 Midpoint: (-3, -0.5) Equation: y = -1.25x -4.25 Plot the line segment on a graph and then divide it into a ratio of 2 to 1 to find the coordinate.