What do you call a flat surface which extends infinitely in all directions and it is named by three points that are not on the same line or by a capital script letter?

A point shows location and has no size or dimension. A point is represented by a dot and is usually named with a letter of choice. In the graphic below, the points are labelled by a nearby letter.

Line:

A line is a set of points extends in two opposite directions without end. A line is one-dimensional and has no width. It is identified by naming two points on the line or by writing a lowercase letter of choice after the line.

The notation, for example, AB (written with a line symbol <---> over the letters), is read as "line AB" and refers to the line that has points A and B.

Plane:

A plane is a flat surface that has no thickness and extends without ending in ALL directions. It is a two-dimensional object. A plane is represented by a parallelogram and may be named by writing an uppercase letter of choice in one of its corners. I will go into detail about what a parallelogram is in future lessons. For now, think of a parallelogram as a "window pane."For simplicity, you might want to think of a plane as an infinitely large sheet of paper.

The diagram below shows three points, a line, and a plane.

Line Segment:

A line line segment is part of a line having two points, called endpoints. It also has points between the endpoints. A line segment does not have a set of CONTINUOUS points like a line does. Endpoint means that a line has a beginning and an end. The notation for a line segment in a bar over any letter of choice. Say AB has a bar over it, you would read it as "line segment AB."

Ray:

A ray is part of a line having one endpoint and a set of all points on one side of the endpoint. A ray is always named by using two letters of choice. The first letter must be the endpoint. We draw an arrow with an endpoint over the letters.

Angle:

An angle is the union of two rays having the same endpoint. The endpoint of an angle is called the vertex; the rays are called the sides of the angle.

There are a few additional terms in geometry that need to be understood as well. They define relationships between geometric objects:

Collinear Points: points that lie on the same line.

Coplanar Points: points that lie in the same plane.

Opposite Rays: 2 rays that lie on the same line, with a common endpoint and no other points in common. Opposite rays form a straight line and/or a straight angle that equals 180º.

Parallel Lines: two coplanar lines that do not intersect.

For other uses, see plane.

A plane is a perfectly flat surface extending in all directions. It can be thought of as the ceiling of a room, only extended into all directions infinitely. A plane has two dimensions: length and width. All planes are flat surfaces. If a surface is not flat, it is called a curved surface.

The tool plane can be used to create a flat, level surface like the mathematical plane—hence the name.

In geometry, a plane is made up of an infinite number of lines (or points). It has no depth. It is absolutely flat and infinitely large.[1]

A plane figure is part of a plane. It is named by the capital letters (such as A, B, C, ...X, Y, Z) that are put at its corners. Sometimes, a single capital pi Π {\displaystyle \Pi }

In general, two planes can be:

• Parallel (they never meet)
• Concurrent (they meet forming a line)
• Coincident (they are one and the same)

Plane in mathematics

In mathematics, a plane is a fundamental two-dimensional object. Intuitively, it looks like a flat infinite sheet of paper. There are several definitions of the plane. They are equivalent in the sense of Euclidean geometry, but they can be extended in different ways to define objects in other areas of mathematics. The only two-dimensional figure in our three-dimensional world is a shadow.

In some areas of mathematics, such as plane geometry or 2D computer graphics, the whole space in which the work is carried out is a single plane. In such situations, the definite article is used: the plane. Many fundamental tasks in geometry, trigonometry and graphing are performed in the two dimensional space, or in other words, in the plane.

Euclidean geometry

A plane is a surface such that, given any three distinct points on the surface, the surface also contains all of the straight lines that pass through any two of them. One can introduce a Cartesian coordinate system on a given plane in order to label every point on it with a unique ordered pair, which is composed of two numbers and is the coordinate of the point.

Within any Euclidean space, a plane is uniquely determined by any of the following combinations:

• Three points which are not lying on the same line
• A line and a point not on the line
• Two different lines which intersect
• Two different lines which are parallel
• A vector normal to the plane and a distance from the origin

Related pages

• Point (geometry)
• Line

References

1. ↑ "Introduction to plane geometry - Math Open Reference". www.mathopenref.com. Retrieved 2020-09-24.
2. ↑ "List of Geometry and Trigonometry Symbols". Math Vault. 2020-04-17. Retrieved 2020-09-24.{{cite web}}: CS1 maint: url-status (link)
3. ↑ "An introduction to geometry (Geometry, Points, Lines, Planes and Angles)". Mathplanet. Archived from the original on 2020-09-29. Retrieved 2020-09-24.

Other websites

• Mathworld: Plane
• Easing the Difficulty of Arithmetic and Planar Geometry (work in Arabic, description in English)

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Question

All of these

A ray is named using its endpoint first, and then any other point on the ray.

The correct answer is:

A ray is named using its endpoint first, and then any other point on the ray.Here, endpoint first, and then any other point on the ray are R and S points respectively.Therefore, The geometrical notation of the figure is .