MsLucky (1) - 2 A quadrilateral is a polygon with four...

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2. A quadrilateral is a polygon with four vertices and four sides. Its five types are: Five types of Convex quadrilaterals: Rhombus, Square, Rectangle, Parallelogram, Trapezoid. Infinite sets: The set of Natural numbers. The set of whole numbers. The set of integers. The infinite set does not have a physical reality, since anything physical is in a limited amount. Even the number of atoms on this planet are huge in number but not infinite. 3. Two triangles are congruent, if their sides are exactly equal, In other words they can be perfectly overlapped over each other. Whereas they are similar if their corresponding angles are equal, and the sides are proportional to each other. For two congruent triangles it means that the sides are equal. Probability is the number of favorable events divided by total events. Since the favorable events are included in the total events, they are less than or equal to total number of events. If equal P=1, if favorable less than total events P < 1, if favorable events = 0, P = 0. 4. Non Euclidean geometry is the geometry which arises when either the metric requirement is relaxed, or the parallel postulate is replaced with an alternative one. Even though there are other valid geometries, Euclidean geometries are easy to visualize. Eg. A straight line in Euclidean geometry can be a curved hyperbola in Hyperbolic geometry. 5. Length is the linear dimension of any object, area is the length multiplied by breath, volume is the capacity in terms of length x breath x height. Permutation is the number of arrangements that can be made of a particular number of objects. Formula- nPr =[ (n)! / (n-r)! ] As there are 17 prizes and eldest gets ½ of those, its is not possible to divide it. If we add one prize it becomes 17 + 1 = 18. We can give 9 prizes to the eldest (1/2 x 18).
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