Question

if bisector of interior angle of quadrilateral form rectangle . prove that quadrilateral is parallogram​

Answer 1

Step-by-step explanation:

→Given :

Bisector of interior angle of quadrilateral form rectangle .

→To prove :

Quadrilateral is parallogram.

→Proof :

→ Let ABCD be a parallelogram and AP, BR, CR, be are the bisectors of ∠A, ∠B, ∠C and ∠D, respectively.

→Quadrilateral PQRS is a rectangle.

Quadrilateral PQRS is a rectangle. Since, ABCD is a parallelogram, then DC || AB and DA is a transversal.

Thus, PQRS is a quadrilateral whose each angle is 90°.

→Answers :

Thus Proved.