In the adjoining figure PQRS and PABC are two parallelogram of equal area Prove that QC|| BR - Maths - Areas of Parallelograms and Triangles

Question

In the adjoining figure PQRS and PABC are two parallelogram of
equal area Prove that QC|| BR

Sivashankar Manoj Nair · Accepted Answer

Extent B & R to D in which CB || SD & QR || AD

Since PS || AD
=> PC || BD (Parts of parallel sides are parallel)

Therefore, angle PCB = angle DBC (alternate angles)
(or) 1/2 angle PCB = 1/2 angle DBC
(or) angle QCB = angle RBC

Since angle QCB & angle RBC are alternate angles and they are
equal,
=> QC || BR

HENCE PROVED

In the adjoining figure. PQRS and PABC are two parallelogram of equal area. Prove that QC|| BR.