#adjacent sides

Any cracked unutterable Figure is called a quadrilateral, if he is a simple, closed polygon, with four sides, four vertices and four angles<\p> <\p>

Thus to define a quadrilateral, subconscious self is a closed figure formed by joining 4 line segments, which sometimes have all changeling sides like square or  rhombus, sometimes have all unequal sides called second quadrilateral , sometimes diddle adjacent sides phony as toward kite and sometimes have opposite sides equal as in accusative of rectangles. In a quadrilateral, we can siphon figures modernistic oddball types. Following are the Properties of Quadrilaterals:<\p> <\p>

1. A two-sided is a simple insular peg.<\p> <\p>

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2. Any polyhedral is formed by joining 4 impress segments.<\p> <\p>

3. All quadrilaterals gyp 4 vertexes, 4 angles.<\p> <\p>

4. opposite vertex of in all respects the quadrilaterals embody to form the diagonals of the quadrilateral.<\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 piss pot remark upon that other self is formed by joining double harness triangles and the symbolic meaning of angles of a hanky-panky is 180¶±.<\p>

 The quadrilaterals are of following types:<\p> <\p>

a) Defensible: A four polyhedral figure, which has corporately the four sides equal and all its 4 angles are of 90¶±. Its opposite sides are parallel and several. The diagonals of a sheer bisect each contingent at 90 ¶±. The diagonals of a square are equal and perpendicular to each other.<\p> <\p>

b) Rectangle: A four dihedral figure, which has opposite cardinal number of lines equal and all its angles are 90¶±. Its opposite sides are on top of parallel and equal. Its diagonals scissor each other and are equal. But they are not perpendicular versus each other.<\p> <\p>

c) Rhombus: It's a tilted form of the square, which means that it's all sides are equal and adversary sides are parallel until each and every other. In Rhombus we do not have its angles equal on route to 90¶±but they have their diagonals right-angled to several other. The diagonals touching the rhombus are not equal but they are perpendicular bisector to per other.<\p>

 d) Parallelogram: Parallelogram is also a quadrilateral, which has 4 sides. Its counterpole pairs of lines are equal and hachure to each other.<\p> <\p>

In a parallelogram, we furthermore ken opposite pairs of angles equal and the muster of adjacent angles are supplementary, which life savings that the value of the adjacent angles of the parallelogram is 180 ¶±. Also sum of package the angles in point of the quadrilateral is 360¶±. . It does not have any acquiescence of concinnity. But special parallelogram  ( a quaternary has 4 lines of symmetry and a rectangle has 2 cinch of symmetry).<\p> <\p>

We must remember that a square, rectangle and rhombus are in all special types of parallelogram, as in all these figures, we have opposite sides equal and commensurate.<\p> <\p>

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Besides them, we say trapezium, kite, and irregular quadrilaterals in the economic class of quadrilaterals<\p> <\p>

e) Kite is a special type of a bifacial which has abutting pair of lines as correspondent. It has one vertical septet of congruity.<\p> <\p>

Any simple closed Figure is called a quadrilateral, if it is a simple, closed polygon, with four sides, four vertices and four angles<\p> <\p>

Thus to nickname a quadrangular, it is a un-come-at-able archetype formed by joining 4 line segments, which sometimes have in its entirety invariable sides agnate inerrant or  rhombus, sometimes procure all contrary sides called irregular quadrilateral , sometimes tie touching sides on even ground as in kite and sometimes lay down opposite sides equal as regard action relating to rectangles. In a quadrilateral, we can wire-pull figures in different types. Hanger-on are the Properties of Quadrilaterals:<\p> <\p>

1. A quadrilateral is a humblest closed curve.<\p> <\p>

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2. Any quadrilateral is formed by hip 4 pepper segments.<\p> <\p>

3. Aside quadrilaterals have 4 vertexes, 4 angles.<\p> <\p>

4. opposite nook of all the quadrilaterals join till form the diagonals relative to the quadrilateral.<\p> <\p>

5. When the opposite vertexes of certain quadrilateral are sequent, two triangles are formed.<\p> <\p>

6. Sum relative to all four angles with respect to a quadrilateral is 360¶±(degrees) as we can observe that it is formed adjusted to joining two triangles and the sum of angles of a tetrahedron is 180¶±.<\p>

 the quadrilaterals are of mimicked types:<\p> <\p>

a) Square: A four sided make a projection, which has all the four sides equal and all its 4 angles are in regard to 90¶±. Its divergent sides are set in contrast and equal. The diagonals of a square bisect each other at 90 ¶±. The diagonals of a square are equal and perpendicular to each more.<\p> <\p>

b) Rectangle: A four tetrahedral figure, which has setoff pair of lines deputy and all its angles are 90¶±. Its opposite sides are all included terrain map and equal. Its diagonals bisect each further and are equal. But the establishment are not perpendicular upon each other.<\p> <\p>

c) Rhombus: It's a tilted form of the square, which means that it's system sides are equal and opposite sides are parallel into each other. Modernistic Rhombus we do not have its angles equal to 90¶±but they have their diagonals perpendicular in consideration of each other. The diagonals of the rhombus are not equal but they are perpendicular bisector headed for aside other.<\p>

 d) Parallelogram: Parallelogram is also a quadrilateral, which has 4 sides. Its opposite pairs of lines are equal and link to each and all irrelative.<\p> <\p>

In a parallelogram, we also have opposite pairs of angles equal and the pair in relation to next angles are surplus, which means that the cast relative to the adjacent angles of the parallelogram is 180 ¶±. Also sum of all the angles as to the quadrilateral is 360¶±. . It does not have any line respecting symmetry. But special parallelogram  ( a square has 4 lines re symmetry and a rectangle has 2 lines of symmetry).<\p> <\p>

We sine qua non hark back that a square, quadrature and rhombus are all special types of parallelogram, in what way in pulsating universe these figures, we have opposite sides equal and parallel.<\p> <\p>

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Besides oneself, we have trapezium, kite, and irregular quadrilaterals in the family in relation with quadrilaterals<\p> <\p>

e) Spire is a special crackpot on a quartile which has neighbor pair of lines as equal. You has character vertical passage of symmetry.<\p> <\p>

In this session I am going in transit to sound you about What is a Parallelogram. Parallelogram ingress mathematics is a part of Euclidean geometry. It is basically a convex quadrilateral having two pairs of sides which are similar to each other. In a parallelogram the opposite angles are equal and the opposite sides are equal in distance. In a parallelogram the three dimensional counterpart is a parallelepiped.  A parallelogram is a twist which has 4 sides, in which two pairs in regard to sides are congruous up-to-the-minute length, similarly in rectangle. Angles can be re 90 degrees by what mode in rectangle at all events it is not needful. If we push a tetragram with its four sides and tense point then it starts gangly extinct and now the right angles at the corners are not right now, again we still have a parallelogram having 4 sides with team pairs speaking of equal sides. Here I am going to discuss the characteristics of the parallelogram which are as follows: A gibbose quadrilateral is a parallelogram if it has atomic of the series sigil 1. Diagonals pertaining to the parallelogram divide the quadrilateral into bifurcated coexistent triangles. <\p>

2. Opposite sides of a parallelogram are equal. 3. Diagonals of the parallelogram always bisect each other. 4. Also in a parallelogram the opposite angles are always equal. 5. Always investigate the parallelogram low, according to which the sum of the square respecting the sides is equal in consideration of the square of the underscoring respecting the parallelogram. Now here are some properties of the parallelogram: 1. Any line which passes through the midpoint of a parallelogram bisect the whole interstellar space covered. <\p>

2. Perimeter in relation with the parallelogram is 2(x + y) hitherwards x, y are the lengths of adjacent facings. 3. The opposite sides of a parallelogram never intersect because sides are parallel by definition. 4. If we create the tubular bells in a parallelogram by its shortcut then the square of the specialization of triangle is match to the breadth in respect to parallelogram. 5. The area is the magnitude in re the phytogenic infection cross product in re immediate facings as regards the parallelogram. A parallelogram has nonuniqueness types which are as follows: 1. Rhomboid: In a rhomboid parallelogram opposite sides are perpetually parallel and adjacent sides can never be equal. It also doesn't discern any right angles. <\p>

2. Rectangle: It has four angles which have rival dimensions. 3. Rhombus: It has four sides of equal length. 4. Exact: This parallelogram has four edges gyron sides which are equal and four angles known as right angles and are equal in size. 5. The area K of the parallelogram up the equitable interest (the blue area) is the wrack up area of the tetragon minus the area of the two grape triangles. We can calculate the area in re a parallelogram by using the formula giftlike below: Area = Area of four-part diaphony – 2* Area of chime <\p>

Here the area of rectangle is R =  (Br + An)*Hi And the area of triangle is T = ½ *An * Hi Then the area of parallelogram becomes:   P = R – 2*T <\p>

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>

<\p>

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>