9TH CBSE lines and angles introduction ppt BY RAMBABU SIRIPURAPU
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1) A point is an exact location that has no size or dimensions, only position. It is usually denoted by a letter like A. 2) A line has one dimension of length but no width or depth. It extends infinitely in both directions from a point. A line segment is a portion of a line with two distinct end points. 3) A ray has one end point and extends infinitely in one direction from that point. An angle is formed when two rays share an endpoint, called the vertex. The rays are the arms of the angle.
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This document discusses different types of quadrilaterals. It defines collinear points as three or more points that lie on the same straight line. It explains that joining four points in different configurations results in different geometric shapes: if the four points are collinear it forms a line segment, if three are collinear it forms a triangle, and if no three are collinear it forms a closed figure with four sides called a quadrilateral. A quadrilateral is defined as a shape with four sides, four angles, and four vertices, and examples are given of diagonals drawn between opposite vertices.
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This document provides an overview of the tools used for geometry constructions. It lists a graduated scale, set squares, dividers, compass, and protractor as the main tools. It explains that while these tools are generally used, geometric constructions can be completed with just a straight edge and compass. The document concludes that basic constructions will be covered that can then be used to construct certain types of triangles.
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This document introduces coordinate geometry and the Cartesian plane. It explains that René Descartes developed a method to describe the position of a point in a plane using two perpendicular lines as axes. Any point can be located using its distance from these intersecting x- and y-axes, known as the point's coordinates. The plane is divided into four quadrants by the axes, and examples are provided to demonstrate how to locate a point using its coordinates.
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This document discusses how measures of central tendency (mean, mode, median) are affected when the same operation is applied to all data values. It shows that if a constant is added to or subtracted from each value, the measures of central tendency are shifted by the same amount. If each value is multiplied or divided by the same constant, the measures of central tendency are multiplied or divided by the same constant.
PPTS FOR 9th CLASS OF deviation in values of central tendency BY RAMBABU SI...
This document discusses how measures of central tendency (mean, mode, median) are affected when the same operation is applied to all data values. It shows that if a constant is added to or subtracted from each value, the measures of central tendency are shifted by the same amount. If each value is multiplied or divided by the same constant, the measures of central tendency are multiplied or divided by the same constant. The conclusion is that applying the same operation to all data values proportionally shifts or scales the measures of central tendency.
PPTS FOR 9thCLASSpoofs in maths by RAMBABU SIRIPURAPU
The document discusses mathematical proofs and reasoning. It begins by defining statements and mathematical statements, which must be either true or false. It then discusses deductive and inductive reasoning, the difference being that deductive reasoning moves from general to specific using logic, while inductive reasoning moves from specific observations to broader generalizations. The document also defines theorems, which are proved statements; conjectures, which are believed to be true; and axioms, which are assumed to be true without proof. It concludes by providing an example of a formal mathematical proof to demonstrate the logical steps and references to previous statements.
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This document discusses various examples of how probability is used in real life. It describes how meteorological departments use probability to predict the weather based on past data trends. It also gives examples of how probability is used in sports like basketball, board games with spinners, medical decisions about surgery success rates, insurance premium calculations, exit polls, and predicting life expectancy. The document emphasizes that while the future cannot be predicted exactly, probability helps determine the likelihood of outcomes and can help with decision making.
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- 2. MIND MAP LINES AND ANGLES Get started INTRODUCTION A Point A Line A line segment A ray An angle
- 3. A point A point: Euclid originally defined the point as "that which has no part". An exact location. It has no size, only position. Points usually have a name, often a letter like "A", or even "W"
- 4. A line: Euclid described a line as "breathless length“. "The line is the first species of quantity, which has only one dimension, namely length, without any width nor depth, and is nothing else than the flow or run of the point which will leave from its imaginary moving some vestige in length, exempt of any width. The straight line is that which is equally extended between its points” CONSTRUCTIONS a line is denoted by Sometimes small letters l, m, n, etc.
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- 6. A ray: a part of a line with one end point is called a ray CONSTRUCTIONS
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