In a parallelogram ABCD, the line drawn through a point P on AB; parallel to BC, meets AC at Q. The line through Q, parallel to AB meets AD at R. Then, prove that APPB= AQQC= ARRD.

In a parallelogram ABCD, the line drawn through a point P on AB; paral

1.	In a parallelogram ABCD, the line drawn through a point P on AB; parallel to BC, meets AC at Q. The line through Q, parallel to AB meets AD at R. Then, prove that APPB= AQQC= ARRD.
Answer» In a parallelogram ABCD, the line drawn through a point P on AB; parallel to BC, meets AC at Q. The line through Q, parallel to AB meets AD at R. Then, prove that $\frac{A P}{P B} =$ $\frac{A Q}{Q C} =$ $\frac{A R}{R D}$ .