Question

P is any point on side CD of the parallelogram ABCD . A point K is taken on CD produced so that CP=DK .A line is drawn through K parallel to AD meeting BP produced at R .Q is the point of intersection of BP and AD produced . Prove AQRK is a parallelogram

Answer 1

as we know the both the parallelograms on the same base so the area so the area will be equal no it cut the area into ratio 1 ratio 3

Answer 2

P is any point on side CD of the parallelogram ABCD . A point K is taken on CD produced so that CP=DK .A line is drawn through K parallel to AD meeting BP produced at R .Q is the point of intersection of BP and AD produced . Prove AQRK is a parallelogram