Question

ABCD and ABXY are two parallelogram on the same base AB prove that XYDC is a parallelogram

Answer 1

parallelogram on the same base and and same parallels are equal in equal in area

Answer 2

Answer:

XCDY is a parallelogram.

Step-by-step explanation:

AB||DC and AD||BC

AB=DC and AB=BC

In ||gm ABXY

=>AB||XY

=>AB=XY

=>AY||BX

=>AY=BX

From ||gm ABCD and ||gm ABXY

=>AB=DC---------1️⃣

=>AB=XY---------2️⃣

Therefore,

DC=XY[from 1️⃣&2️⃣]

Hence, XCDY is a parallelogram