[" 1.The bisectors of the angles of "],[" a parallelogram enclose "^(*)]

The bisectors of angles of a parallelogram from a :

The quadrilateral formed by the bisectors of the angles of a parallelogram is a

In the alongside diagram, the bisectors of interior angles of the parallelogram PQRS enclose a quadrilateral ABCD. Show that: (i) anglePSB+angleSPB=90^(@) (ii) anglePBS=90^(@) (iii) angleABC=90^(@) (iv) angleADC=90^(@) (v) angleA=90^(@) (vi) ABCD is a rectangle thus, the bisectors of the angles of a parallelogram enclose a rectangle.

The bisector of the angles of a parallelogram enclose a ..................

Shape made by the bisectors of angles of a parallelogram is

Prove that the quadrilateral formed by the bisectors of the angles of a parallelogram is a rectangle.

Prove that the quadrilateral formed by the bisectors of the angles of a parallelogram is a rectangle.

Prove that the quadrilateral formed by the bisectors of the angles of a parallelogram is a rectangle.