GEOMETRY.pptx
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This document defines and describes several basic geometric shapes and concepts. It defines a point as having no size, a line as extending infinitely in both directions with no thickness, a line segment as having two endpoints and a fixed length, a ray as having one endpoint and extending infinitely in one direction, and an angle as being formed by two rays meeting at a common point. It also defines parallel lines as never intersecting and having a constant distance between them, perpendicular lines as intersecting at a right angle, and concurrent lines as passing through a single common point.
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Geometry is the mathematical study of shapes and their properties. It can be seen everywhere in everyday life. Some key concepts in geometry include:
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GEOMETRY.pptx
- 2. INDEX POINT LINE LINE SEGMENT RAY ANGLE PARALLEL LINES PERPENDICULAR LINES CONCURRENT LINES
- 3. POINT In math, a point is represented by a dot (.) and is used to tell exact location in space. It does not have any length, width, or height. In other words, it has no size.
- 4. LINE A line can be defined as a straight set of points that extend in opposite directions. It has no ends in both directions(infinite) It has no thickness. It is one-dimensional
- 5. LINE SEGMENT A line segment is a part of a line that has two endpoints and a fixed length. It is different from a line that does not have a beginning or an end and which can be extended in both directions.
- 6. RAY A ray is a part of the line having one fixed point and the other point does not have an end. It means that a ray has one terminating end and the other end is extending infinitely.
- 7. ANGLE An angle is formed when two rays are joined together at a common point. The common point here is called node or vertex and the two rays are called arms of the angle. The angle is represented by the symbol ‘∠’.
- 8. PARALLEL LINES Parallel lines do not intersect each other and distance between them is constant. The real-life examples of parallel lines: Railway tracks.
- 9. PERPENDICULAR LINES In geometry, perpendicular lines are defined as two lines that meet or intersect each other at right angles (90°)
- 10. CONCURRENT LINES When two or more lines pass through a single point, in a plane, they are concurrent with each other and are called concurrent lines. A point that is common to all those lines is called the point of concurrency.