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The locus of points which are are the same distance from a point and a line is called a?
parabola
Which transformation moves points perpendicularly across a specified line a distance equal to its original distance from the specified line?
Reflection
The set points in space that are a given distance from a given point is?
In three dimensions, the solid defined as being bound by the set of points at a given distance form a point is a sphere. In two dimensions, the figure defined as being bound by the set of points at a given distance from a point is a circle. In one dimension, a line segment is bound by the two points at a given distance from a point.
What is the difference of the y-values of two points on a line?
The difference in the y-values of two points on a line is equal to the vertical distance between those points. This difference is also known as the "rise" or the "change in y." To calculate the difference in the y-values of two points (y₁, x₁) and (y₂, x₂) on a line, you simply subtract the y-coordinate of one point from the y-coordinate of the other: Difference in y-values = y₂ - y₁ This calculation gives you the vertical distance between the two points on the line.
Which best describes a parabola?
Given a straight line (a directrix) and a point (the focus) which is not on that line, a parabola is locus of all points whose distance form the directrix is the same as its distance from the focus.
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
A parabola is the set of all points that A are the same distance from a point and a line B are the same distance from one point C are the same distance from two points?
Alternates are fill-in-the-blank version of this Q. are the same distance from a point and a line
What is a line equidistant?
A line equidistant from two points is a line that maintains the same distance from both points at all locations along its length. This line is typically the perpendicular bisector of the segment connecting the two points, meaning it divides the segment into two equal parts and forms right angles with it. In a two-dimensional plane, any point on this line is the same distance to both points.
The locus of points that are the same distance from a point and a line is a .?
The locus of points that are the same distance from a point and a line is a parabola. In this scenario, the point acts as the focus of the parabola, while the line serves as the directrix. The shape of the parabola opens away from the line, with all points on the curve equidistant from both the focus and the directrix.
What is the straight line distance between two points?
Twice the distance between a point and halfway to the other point.
The locus of points which are are the same distance from a point and a line is called a?
parabola
Which transformation moves points perpendicularly across a specified line a distance equal to its original distance from the specified line?
Reflection
What conditions the distance and displacement between two points will be equal?
Answer: The magnitude of displacement is equal to distance traveled when motion is in a straight line
Distance is always less then or equal to the magnitude of the displacement?
Distance is the total length of the path traveled between two points, while displacement is the direct line distance between those points. Distance can be equal to or greater than the magnitude of displacement if the path followed is not a straight line.
What can be set of points with equal abscissa's with equal ordinates?
The ordinate and abscissa are equal for every point on the line [ y = x ].
What is the shortest distance between four points?
The shortest distance between four points is a straight line to and from each individual point. If all four points are aligned, the result will be a single straight line through all four points.
What is the definition of distance from point to line?
It the point is on the line the distance is 0. If the point is not on the line, then it is possible to draw a unique line from the point to the line which is perpendicular to the line. The distance from the point to the line is the distance along this perpendicular to the line.
