Thursday, December 20, 2012

Parts of Quadrilateral

Quadrilateral is a type of polygon with four sides and four vertices's or corners. The quadrilaterals are whichever convex or concave. The entire convex quadrilateral covers the plane by continual revolving around the midpoints of their ends.

Parts of Quadrilateral


  • Sides
  • Vertices's
  • Interior angles
  • Diagonals
  • Adjacent sides
  • Opposite angles
  • Opposite sides
  • Consecutive angles
Parts of Quadrilateral-side

The quadrilateral is of many types, special cases are tangent quadrilaterals and cyclic quadrilateral. The sides of the tangent quadrilateral are opposite and have equal length, in cyclic quadrilateral the product of the opposite sides are the same, are called a harmonic quadrilateral.

Vertices's

Vertex is the two side’s meets at the end point. They are four vertices's on a quadrilateral. The consecutive vertices's are same at the endpoints.

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Diagonal

The Line segment that joins two vertices's in opposite. In Parallelogram the diagonal bisect each other. In Rectangle the diagonals are congruent. In kite, one diagonal is perpendicular bisector of other, and the diagonal bisects a pair of opposite angles. In Rhombus, the diagonals bisect the angles and are perpendicular bisector of each other; the diagonals divide the rhombus into four congruent right triangles.

Interior angle of quadrilateral:

Interior angle of quadrilateral  is the set of all points in its plane which lie in between both the arms. The addition of the interior angles of a non-crossed quadrilateral is 360.  In a crossed quadrilateral, the addition of the one side of  interior angles equals the addition of the interior angles on the other side.

Adjacent sides

Consecutive sides or adjacent sides have a common endpoint. In kite two dissimilar pairs of adjacent sides are similar.

Opposite angles

Opposite angles are angles whose vertices's are not successive.

Opposite sides:

Opposite sides of a quadrilateral are sides that do not have a general endpoint. In parallelogram and in rectangle the opposite sides are parallel and  congruent.

Consecutive angles

In parallelogram, any pair of consecutive angles are supplementary.In Rhombus two sides are congruent

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