UPSKILL MATH PLUS

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Geometry derives from the Greek word 'earth measurement', which is the mathematics branch concerned with the properties and relationships of points , lines, surfaces, solids, and analogs of higher dimensions.
A specific position or location on the surface of the plane is referred to as a point.
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The above figure shows point \(A\) and \(B\).
 
A point is sort of an invisible dot that may determine a location/position but can't be extended. To represent the location/position, we label each point using an English alphabet.
Example:
We are planning to locate the five-place (let them be \(A\), \(B\), \(C\), \(D\) and \(E\)) on a map using the concept of points and label them accordingly.
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When a line is drawn between the two points, it is referred to as a line segment.
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The above figure shows a line segment \(AB\) and is represented as PQ¯.
 
A line segment is used to determine the distance between two points.
Example:
We are planning to demonstrate the distance between the five places (let them be \(A\), \(B\), \(C\), \(D\) and \(E\)) on a map using the concept of a line segment and label them accordingly. Here the distance between \(A\) and \(B\) is shown by drawing a line between \(A\) and \(B\). Similarly, the distance between \(B\) and \(E\), and the distance between \(C\) and \(D\) are shown in the following picture.
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A line may be a combination of points that extends infinitely in both directions. A line is labelled sort of a line segment with a bidirectional arrow over the label.
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The above figure shows a line \(AB\) and is represented as AB or BA.
Example:
\(100\) metres track is to illustrate the concept of the line. A track may be a line that extends infinitely in both the direction without having a fixed starting and ending point.
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When three or more points lie on the same line are called collinear points.
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The above figure shows the collinear points \(A\), \(B\) and \(C\). These points are collinear points because all three points lie on the same line.
Example:
Arrange the more number of cups to validate the concept of the collinear points.
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A ray is often defined as a straight line that starts from a point and extends indefinitely in one direction.
The starting point that's fixed at one end is termed as a vertex of a ray. Ray is additionally one-dimensional entity as we will move endlessly in one direction alone.
 
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The above figure shows a ray \(AB\) and is represented as AB.
Example:
We have a battery-operated torch on one end of the road and light from the torch (called as a line segment) is travelling in a straight line towards the other direction. Since we don't know the end of that light, we will say that this line segment from a fixed source may be a ray.
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