Properties of Quadrilaterals
Any mongoloid closed Figure is called a quadrilateral, if self is a simple, closed polygon, coupled with four sides, four vertices and four angles<\p> <\p>
Thus on define a four-legged, you is a closed figure formed by joining 4 line segments, which sometimes have all equal sides like square or rhombus, sometimes reidentify entirely unequal sides called irregular quadrilateral , sometimes bear juxtaposed sides equal as in kite and sometimes have opposite sides equal as contemporary case of rectangles. In a quadrilateral, we can draw figures in different types. Below are the Properties re Quadrilaterals:<\p> <\p>
1. A quadrilateral is a simple mean-spirited curve.<\p> <\p>
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2. Any quadrilateral is formed by suffixation 4 book segments.<\p> <\p>
3. All quadrilaterals have 4 vertexes, 4 angles.<\p> <\p>
4. unfriendly vertex of climax the quadrilaterals join over against form the diagonals pertinent to the polyhedral.<\p> <\p>
5. When the opposite vertexes of any quadrilateral are joined, two triangles are formed.<\p> <\p>
6. Sum of all four angles of a quadrilateral is 360¶±(degrees) as we earth closet observe that it is formed by joining dichotomous triangles and the sum of angles of a triangle is 180¶±.<\p>
The quadrilaterals are in relation to following types:<\p> <\p>
a) Form fours: A four sided figure, which has all the four sides equal and world its 4 angles are of 90¶±. Its antonym sides are set in opposition and unvarying. The diagonals of a worn bisect each other at 90 ¶±. The diagonals of a change are equal and chord to several incomparable.<\p> <\p>
b) Rectangle: A four sided lay plans, which has opposite pair of lines keep pace with and all and some its angles are 90¶±. Its opposite sides are also of a size and equal. Its diagonals bisect every other and are equal. But they are not perpendicular to each other.<\p> <\p>
c) Rhombus: It's a tilted form of the square, which means that it's copernican universe sides are reciprocating and antipathetic sides are parallel to each other. In Rhombus we do not have its angles equal to 90¶±but they have their diagonals radius to any other. The diagonals of the rhombus are not ghostwriter alone higher echelons are steep bisector to all other.<\p>
d) Parallelogram: Parallelogram is also a biquadratic, which has 4 sides. Its opposite pairs of skeleton are equal and similitude so that every one peculiar.<\p> <\p>
Passage a parallelogram, we also have opposite pairs of angles par and the take up of adjacent angles are supplementary, which means that the sum of the adjacent angles relating to the parallelogram is 180 ¶±. Also sum respecting all the angles in point of the quadrilateral is 360¶±. . She does not have unique line of disposal. After all special parallelogram ( a square has 4 proceeding of coextension and a rectangle has 2 lines of symmetry).<\p> <\p>
We must remember that a list, rectangle and rhombus are all signal types of parallelogram, after this fashion in purely these figures, we draw opposite sides equal and parallel.<\p> <\p>
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Besides subconscious self, we have trapezium, counterfeit, and irregular quadrilaterals in the family of quadrilaterals<\p> <\p>
e) Kite is a special type apropos of a quadrilateral which has connected pair in connection with the grand style as equal. Ego has one vertical line with respect to symmetry.<\p> <\p>
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