Prove that the bisectors of opposite angles of a parallelogram are parallel.

The opposite angles of a parallelogram are equal.

Show that the bisectors of angles of a parallelogram form a rectangle.

Show that the bisectors of angles of a parallelogram form a rectangle.

AB and CD are two parallel lines and a transversal 'l' intersects these lines at X and Y respectively Prove that the bisectors of interior angles from a parallelogram whose each angle is 90^(@).

A B ,C D are two parallel lines and a transversal l intersects A B at X and C D at Y Prove that the bisectors of the interior angles form a parallelogram, with all its angles right angles i.e., it is a rectangle.

A B ,C D are two parallel lines and a transversal l intersects A B at X and C D at Y Prove that the bisectors of the interior angles form a parallelogram, with all its angles right angles i.e., it is a rectangle.

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.

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 bisectors of the interior angles of a rectangle form a square.