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Kite definition quadrilateral8/9/2023 Isosceles trapezium : An isosceles trapezium is defined as the trapezium in which non parallel sides of the trapezium are equal and form equal angles with the bases.The perpendicular distance between the parallel sides of a trapezium is known as the height or altitude of the trapezium. The parallel sides of a trapezium are called bases and the non-parallel sides of a trapezium are called legs or the lateral sides. With one pair of parallel sides of unequal lengths and one pair of non-parallel sides. g) Sum of the interior angles of a parallelogram is 360 degreesĪ trapezium is a convex quadrilateral or four-sided polygon.f) Diagonals of a parallelogram divide the parallelogram into two congruent triangles,.Diagonals of a parallelogram bisect each other.Adjacent angles of a parallelogram are supplementary (sum of the angles is 180°).The opposite angles of a parallelogram are equal.The opposite sides of a parallelogram are equal to each other.The opposite sides of a parallelogram are parallel to each other. PARALLELOGRAM : A parallelogram is a quadrilateral in which both the pairs of opposite sides are equal. There are various types of quadrilaterals classified on the basis of their properties, such as: The sum of all the exterior angles of a quadrilateral is 360°.The sum of all the interior angles of a quadrilateral is 360°.Quadrilateral shapes are two – dimensional.The properties of quadrilaterals are listed below: Complex - The quadrilateral has self-intersecting sides.Simple - The quadrilateral does not cross its sides (it is not self-intersecting).Also, one of the diagonals of the quadrilateral lies outside the quadrilateral. Concave - If at least one of the angles of a quadrilateral measures more than 180°, i.e., if one of the angles is a reflex angle, then quadrilateral is a concave quadrilateral.Also, all the diagonals of the quadrilateral lie inside the closed space of the quadrilateral. Convex – If all interior angles of a quadrilateral measure less than 180°, then quadrilateral is a convex quadrilateral.Quadrilaterals appear in four different classifications: In quadrilateral PQRS, PR and QS are the two diagonals. In quadrilateral PQRS, ∠ P is opposite to ∠ R and ∠ Q is opposite to ∠ S.ĭiagonals of a quadrilateral: The line segment joining the opposite vertices of a quadrilateral is called the diagonal of the quadrilateral. Opposite angles of a quadrilateral: Two angles of a quadrilateral which do not have a common arm are called the opposite sides of the quadrilateral. In quadrilateral PQRS, ( ∠ P, ∠ Q), ( ∠ Q, ∠ R), ( ∠ R, ∠ S) and ( ∠ S, ( ∠ P) are adjacent angles. In quadrilateral PQRS, PQ is opposite to SR, PS is opposite to QR.Īdjacent angles of a quadrilateral: Two angles of a quadrilateral having a common arm are called the adjacent sides of the quadrilateral. Opposite sides of a quadrilateral: Two sides of a quadrilateral which do not have a common end-point are called the opposite sides of the quadrilateral. In quadrilateral PQRS, (PQ, QR), (QR, RS), (RS, SP) and (SP, PQ) are the four pairs of adjacent sides. ∠ P, ∠ Q, ∠ R and ∠ S are the angles of the quadrilateral.Īdjacent sides of a quadrilateral: Two sides of a quadrilateral having a common end-point are called the adjacent sides of the quadrilateral.
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