PQRS is a quadrilateral with diagonals PR and QS intersecting at O. Show that: ar (∆POS) × ar (∆QOR) = ar (∆POQ) × ar (∆ROS).

Please answer the above question along with theorems and explanations.

PQRS is a quadrilateral with diagonals PR and QS intersecting at O. Show that: ar (∆POS) × ar (∆QOR) = ar (∆POQ) × ar (∆ROS).

Please answer the above question along with theorems and explanations.