Question

Все точки плоскости, расположенные по одну сторону от прямой и находящиеся на равном расстоянии от неё, лежат на прямой ... данной Ответьте ПОЖАЛУЙСТА

Answer 1

На прямой параллельной данной

Answer 2

Points on a Plane

According to the given statement, all the points on a plane that are located on one side of a line and are equidistant from it lie on the line. Let's explore this concept further.

A plane is a two-dimensional flat surface that extends infinitely in all directions. It is defined by three non-collinear points or by a point and a normal vector. A line, on the other hand, is a one-dimensional object that extends infinitely in both directions.

To understand the relationship between points on a plane and a line, we need to consider the perpendicular distance between the points and the line. The perpendicular distance is the shortest distance between a point and a line, measured along a line perpendicular to the line.

If all the points on a plane are located on one side of a line and are equidistant from it, it means that the perpendicular distance from each point to the line is the same. In other words, the points lie on a line that is perpendicular to the given line and passes through the midpoint of the line segment connecting the given line and the plane.

To visualize this, imagine a line on a piece of paper and a plane above it. If all the points on the plane are equidistant from the line and located on one side of it, they will form a line that is perpendicular to the given line and passes through the midpoint of the line segment connecting the line and the plane.

In summary, all the points on a plane that are located on one side of a line and are equidistant from it lie on a line that is perpendicular to the given line and passes through the midpoint of the line segment connecting the line and the plane.

Please let me know if you have any further questions!