Basic Geometry Objects: Point, Line, Line Segment, Ray, Angle and Plane
Posted on : 12-07-2018
Posted past : Admin
Geometry is the branch of mathematics which includes the study of shapes, size and relative position of figures. Geometry has two parts namely, Aeroplane geometry, Solid geometry.
Information technology deals with two-dimensional or second objects like line, circle, triangle etc. These shapes tin exist easily drawn on paper. 2D shapes have simply two dimensions namely length and breadth.
It deals with three-dimensional or 3 D objects with some depth like cube, sphere, cuboid, prism etc. These shapes are a bit complicated to be fatigued on paper. 3D shapes take three dimensions namely length, breadth and depth.
We must sympathise the following bones terms before getting into bodily geometry. These terms refer to the basic objects which brand upwards the geometric shapes.
The post-obit are the backdrop of a point,
- Information technology is a location in infinite.
- A bespeak does not have a length or width or any thickness.
- Information technology is more often than not represented by a dot.
- Points are usually named with capital letter letter.
For instance, in the flick shown we are representing the dots as “indicate A, point B and point C”.
The post-obit are the backdrop of a line,
- A line is a group of points.
- A line has length merely no breadth.
- The points in a line may extend infinitely.
- It is mostly represented past a line with two arrows over the messages depicting the points.
- The two arrows are used to show that the line extends infinitely.
For example, in the picture shown we are representing the line as ‘XY’. We can also call it line ‘YX’.
Some useful information about lines
- For a given point, there are infinite numbers of lines passing through it. These lines are chosen equally concurrent lines.
- There is one and simply 1 line passing through two singled-out points.
- The intersection of two distinct lines is a point.
- Three or more points are said to be collinear if they lie on a line.
- Iii or more points are said to be non-collinear if they do not line on a line.
- There are an space number of planes passing through whatever given line.
- In that location is exactly one plane passing through three non-collinear points.
- Two distinct intersecting lines lie in a airplane.
- Two or more lines are said to be coplanar if they lie in same plane.
- Two or more than lines are said to exist non-coplanar if they do not lie in same plane.
- If ii or more than points lie in a plane, the whole line lies in the plane
- A-Ten-B implies that the points “A, X, B” are collinear and that indicate X lies between A and B.
- The intersection of two planes is a line
- A line which intersects 2 or more given coplanar lines in distinct points is called a transversal of the given lines.
- A line which is perpendicular to a line segment and passes through the midpoint of the segment is called the perpendicular bisector of the segment.
- Every point on the perpendicular bisector of a segment is equidistant from the two endpoints of the segment.
The post-obit are the properties of a line segment,
- A line segment is part of a line.
- It has 2 endpoints with the capital letters depicting the points.
- A line segment has length but no breadth.
- A line has no endpoints whereas the line segment has terminate points.
- It is generally represented by a line over the letters depicting the points
For example, in the motion picture shown we are representing line segment as ‘XY’.
Difference between Line and Line segment
|A line is a group of points.||A line segment is role of a line.|
|A line has no endpoints.||A line segment has end points.|
|The points in a line may extend infinitely.||The points in a line are divers.|
|It is represented by a line with two arrows over the letters depicting the points.||It is represented by a uncomplicated line over the letters depicting the points.|
The post-obit are the properties of a ray,
- A ray is a collection of points which start at ane betoken and extend infinitely in i direction.
- A ray has length but no breadth.
- It has an endpoint and an arrow depicted with capital letters.
For example, in the picture shown we are representing the ray as ‘MN’.
Two rays having a mutual or same endpoint forms equally angle.
- The corner indicate of an angle is called the vertex.
- The two straight sides are chosen arms. The bending is the extent of turn between each arm.
For example, in the picture shown we are representing an angle A. Two rays AB and Air conditioning accept a mutual endpoint A.
It is a level, fifty-fifty and flat surface merely similar a piece of paper.
- It extends forever and ever in all directions.
- Information technology has infinite width and length.
- We can utilize arrows to testify that information technology extends in all directions forever.
– Share with your friends! –