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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.
