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What else can I help you with?
The shortest segment from a point to a line?
. . . is the segment perpendicular to the line.
What type of segment from a point to a line or plane is the shortest segment from the point to the line or plane?
A ray
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.
What is the shortest path between a line and a point not on that line?
The shortest path is a line perpendicular to the given line that passes through the given point.
Explain why a line segment is considered a defined term in geometry?
A point is an undefined term. But given two points, they can be joined using a line segment.
What is the shortest segment from a point to line?
A line that is perpendicular to the given line and passes through the given point.
The shortest segment from a point to a line?
. . . is the segment perpendicular to the line.
What type of segment from a point to a line or plane is the shortest segment from the point to the line or plane?
A ray
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 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 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.
How many possibilities are there in point-segment relations?
Probably three:The point is not on the segment nor the corresponding line,The point is in the line segment,The point is not in the line segment as given but would be if the segment were extended.
What is the shortest path between a line and a point not on that line?
The shortest path is a line perpendicular to the given line that passes through the given point.
Show that of all line segments drawn from a given point not on it the perpendicular line segment is the shortest?
To show that the perpendicular line segment is the shortest among all line segments drawn from a given point not on it, we can use the Pythagorean theorem. Let the given point be P and the line segment be AB, with the perpendicular from P meeting AB at C. By the Pythagorean theorem, the sum of the squares of the two sides of a right triangle is equal to the square of the hypotenuse. In this case, PC is the hypotenuse, and AP and AC are the other two sides. Thus, AC (perpendicular line segment) will always be shorter than any other line segment AB drawn from point P.
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.
